2476 lines
97 KiB
PHP
2476 lines
97 KiB
PHP
<?php
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namespace PhpOffice\PhpSpreadsheet\Calculation;
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use PhpOffice\PhpSpreadsheet\Shared\Date;
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class Financial
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{
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const FINANCIAL_MAX_ITERATIONS = 128;
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const FINANCIAL_PRECISION = 1.0e-08;
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/**
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* isLastDayOfMonth.
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*
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* Returns a boolean TRUE/FALSE indicating if this date is the last date of the month
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*
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* @param \DateTime $testDate The date for testing
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*
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* @return bool
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*/
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private static function isLastDayOfMonth(\DateTime $testDate)
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{
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return $testDate->format('d') == $testDate->format('t');
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}
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private static function couponFirstPeriodDate($settlement, $maturity, $frequency, $next)
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{
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$months = 12 / $frequency;
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$result = Date::excelToDateTimeObject($maturity);
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$eom = self::isLastDayOfMonth($result);
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while ($settlement < Date::PHPToExcel($result)) {
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$result->modify('-' . $months . ' months');
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}
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if ($next) {
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$result->modify('+' . $months . ' months');
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}
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if ($eom) {
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$result->modify('-1 day');
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}
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return Date::PHPToExcel($result);
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}
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private static function isValidFrequency($frequency)
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{
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if (($frequency == 1) || ($frequency == 2) || ($frequency == 4)) {
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return true;
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}
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return false;
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}
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/**
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* daysPerYear.
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*
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* Returns the number of days in a specified year, as defined by the "basis" value
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*
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* @param int|string $year The year against which we're testing
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* @param int|string $basis The type of day count:
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* 0 or omitted US (NASD) 360
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* 1 Actual (365 or 366 in a leap year)
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* 2 360
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* 3 365
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* 4 European 360
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*
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* @return int|string Result, or a string containing an error
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*/
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private static function daysPerYear($year, $basis = 0)
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{
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switch ($basis) {
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case 0:
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case 2:
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case 4:
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$daysPerYear = 360;
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break;
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case 3:
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$daysPerYear = 365;
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break;
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case 1:
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$daysPerYear = (DateTime::isLeapYear($year)) ? 366 : 365;
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break;
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default:
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return Functions::NAN();
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}
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return $daysPerYear;
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}
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private static function interestAndPrincipal($rate = 0, $per = 0, $nper = 0, $pv = 0, $fv = 0, $type = 0)
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{
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$pmt = self::PMT($rate, $nper, $pv, $fv, $type);
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$capital = $pv;
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for ($i = 1; $i <= $per; ++$i) {
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$interest = ($type && $i == 1) ? 0 : -$capital * $rate;
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$principal = $pmt - $interest;
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$capital += $principal;
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}
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return [$interest, $principal];
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}
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/**
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* ACCRINT.
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*
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* Returns the accrued interest for a security that pays periodic interest.
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*
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* Excel Function:
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* ACCRINT(issue,firstinterest,settlement,rate,par,frequency[,basis])
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*
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* @param mixed $issue the security's issue date
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* @param mixed $firstinterest the security's first interest date
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* @param mixed $settlement The security's settlement date.
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* The security settlement date is the date after the issue date
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* when the security is traded to the buyer.
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* @param float $rate the security's annual coupon rate
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* @param float $par The security's par value.
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* If you omit par, ACCRINT uses $1,000.
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* @param int $frequency the number of coupon payments per year.
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* Valid frequency values are:
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* 1 Annual
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* 2 Semi-Annual
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* 4 Quarterly
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* @param int $basis The type of day count to use.
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* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
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* @return float|string Result, or a string containing an error
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*/
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public static function ACCRINT($issue, $firstinterest, $settlement, $rate, $par = 1000, $frequency = 1, $basis = 0)
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{
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$issue = Functions::flattenSingleValue($issue);
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$firstinterest = Functions::flattenSingleValue($firstinterest);
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$settlement = Functions::flattenSingleValue($settlement);
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$rate = Functions::flattenSingleValue($rate);
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$par = ($par === null) ? 1000 : Functions::flattenSingleValue($par);
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$frequency = ($frequency === null) ? 1 : Functions::flattenSingleValue($frequency);
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$basis = ($basis === null) ? 0 : Functions::flattenSingleValue($basis);
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// Validate
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if ((is_numeric($rate)) && (is_numeric($par))) {
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$rate = (float) $rate;
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$par = (float) $par;
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if (($rate <= 0) || ($par <= 0)) {
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return Functions::NAN();
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}
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$daysBetweenIssueAndSettlement = DateTime::YEARFRAC($issue, $settlement, $basis);
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if (!is_numeric($daysBetweenIssueAndSettlement)) {
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// return date error
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return $daysBetweenIssueAndSettlement;
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}
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return $par * $rate * $daysBetweenIssueAndSettlement;
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}
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return Functions::VALUE();
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}
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/**
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* ACCRINTM.
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*
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* Returns the accrued interest for a security that pays interest at maturity.
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*
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* Excel Function:
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* ACCRINTM(issue,settlement,rate[,par[,basis]])
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*
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* @param mixed $issue The security's issue date
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* @param mixed $settlement The security's settlement (or maturity) date
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* @param float $rate The security's annual coupon rate
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* @param float $par The security's par value.
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* If you omit par, ACCRINT uses $1,000.
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* @param int $basis The type of day count to use.
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* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
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* @return float|string Result, or a string containing an error
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*/
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public static function ACCRINTM($issue, $settlement, $rate, $par = 1000, $basis = 0)
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{
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$issue = Functions::flattenSingleValue($issue);
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$settlement = Functions::flattenSingleValue($settlement);
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$rate = Functions::flattenSingleValue($rate);
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$par = ($par === null) ? 1000 : Functions::flattenSingleValue($par);
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$basis = ($basis === null) ? 0 : Functions::flattenSingleValue($basis);
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// Validate
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if ((is_numeric($rate)) && (is_numeric($par))) {
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$rate = (float) $rate;
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$par = (float) $par;
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if (($rate <= 0) || ($par <= 0)) {
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return Functions::NAN();
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}
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$daysBetweenIssueAndSettlement = DateTime::YEARFRAC($issue, $settlement, $basis);
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if (!is_numeric($daysBetweenIssueAndSettlement)) {
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// return date error
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return $daysBetweenIssueAndSettlement;
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}
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return $par * $rate * $daysBetweenIssueAndSettlement;
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}
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return Functions::VALUE();
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}
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/**
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* AMORDEGRC.
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*
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* Returns the depreciation for each accounting period.
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* This function is provided for the French accounting system. If an asset is purchased in
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* the middle of the accounting period, the prorated depreciation is taken into account.
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* The function is similar to AMORLINC, except that a depreciation coefficient is applied in
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* the calculation depending on the life of the assets.
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* This function will return the depreciation until the last period of the life of the assets
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* or until the cumulated value of depreciation is greater than the cost of the assets minus
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* the salvage value.
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*
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* Excel Function:
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* AMORDEGRC(cost,purchased,firstPeriod,salvage,period,rate[,basis])
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*
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* @param float $cost The cost of the asset
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* @param mixed $purchased Date of the purchase of the asset
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* @param mixed $firstPeriod Date of the end of the first period
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* @param mixed $salvage The salvage value at the end of the life of the asset
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* @param float $period The period
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* @param float $rate Rate of depreciation
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* @param int $basis The type of day count to use.
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* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
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* @return float
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*/
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public static function AMORDEGRC($cost, $purchased, $firstPeriod, $salvage, $period, $rate, $basis = 0)
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{
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$cost = Functions::flattenSingleValue($cost);
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$purchased = Functions::flattenSingleValue($purchased);
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$firstPeriod = Functions::flattenSingleValue($firstPeriod);
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$salvage = Functions::flattenSingleValue($salvage);
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$period = floor(Functions::flattenSingleValue($period));
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$rate = Functions::flattenSingleValue($rate);
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$basis = ($basis === null) ? 0 : (int) Functions::flattenSingleValue($basis);
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// The depreciation coefficients are:
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// Life of assets (1/rate) Depreciation coefficient
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// Less than 3 years 1
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// Between 3 and 4 years 1.5
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// Between 5 and 6 years 2
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// More than 6 years 2.5
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$fUsePer = 1.0 / $rate;
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if ($fUsePer < 3.0) {
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$amortiseCoeff = 1.0;
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} elseif ($fUsePer < 5.0) {
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$amortiseCoeff = 1.5;
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} elseif ($fUsePer <= 6.0) {
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$amortiseCoeff = 2.0;
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} else {
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$amortiseCoeff = 2.5;
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}
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$rate *= $amortiseCoeff;
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$fNRate = round(DateTime::YEARFRAC($purchased, $firstPeriod, $basis) * $rate * $cost, 0);
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$cost -= $fNRate;
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$fRest = $cost - $salvage;
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for ($n = 0; $n < $period; ++$n) {
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$fNRate = round($rate * $cost, 0);
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$fRest -= $fNRate;
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if ($fRest < 0.0) {
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switch ($period - $n) {
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case 0:
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case 1:
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return round($cost * 0.5, 0);
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default:
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return 0.0;
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}
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}
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$cost -= $fNRate;
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}
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return $fNRate;
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}
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/**
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* AMORLINC.
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*
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* Returns the depreciation for each accounting period.
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* This function is provided for the French accounting system. If an asset is purchased in
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* the middle of the accounting period, the prorated depreciation is taken into account.
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*
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* Excel Function:
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* AMORLINC(cost,purchased,firstPeriod,salvage,period,rate[,basis])
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*
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* @param float $cost The cost of the asset
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* @param mixed $purchased Date of the purchase of the asset
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* @param mixed $firstPeriod Date of the end of the first period
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* @param mixed $salvage The salvage value at the end of the life of the asset
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* @param float $period The period
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* @param float $rate Rate of depreciation
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* @param int $basis The type of day count to use.
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* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
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* @return float
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*/
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public static function AMORLINC($cost, $purchased, $firstPeriod, $salvage, $period, $rate, $basis = 0)
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{
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$cost = Functions::flattenSingleValue($cost);
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$purchased = Functions::flattenSingleValue($purchased);
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$firstPeriod = Functions::flattenSingleValue($firstPeriod);
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$salvage = Functions::flattenSingleValue($salvage);
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$period = Functions::flattenSingleValue($period);
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$rate = Functions::flattenSingleValue($rate);
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$basis = ($basis === null) ? 0 : (int) Functions::flattenSingleValue($basis);
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$fOneRate = $cost * $rate;
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$fCostDelta = $cost - $salvage;
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// Note, quirky variation for leap years on the YEARFRAC for this function
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$purchasedYear = DateTime::YEAR($purchased);
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$yearFrac = DateTime::YEARFRAC($purchased, $firstPeriod, $basis);
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if (($basis == 1) && ($yearFrac < 1) && (DateTime::isLeapYear($purchasedYear))) {
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$yearFrac *= 365 / 366;
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}
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$f0Rate = $yearFrac * $rate * $cost;
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$nNumOfFullPeriods = (int) (($cost - $salvage - $f0Rate) / $fOneRate);
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if ($period == 0) {
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return $f0Rate;
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} elseif ($period <= $nNumOfFullPeriods) {
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return $fOneRate;
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} elseif ($period == ($nNumOfFullPeriods + 1)) {
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return $fCostDelta - $fOneRate * $nNumOfFullPeriods - $f0Rate;
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}
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return 0.0;
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}
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/**
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* COUPDAYBS.
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*
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* Returns the number of days from the beginning of the coupon period to the settlement date.
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*
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* Excel Function:
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* COUPDAYBS(settlement,maturity,frequency[,basis])
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*
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* @param mixed $settlement The security's settlement date.
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* The security settlement date is the date after the issue
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* date when the security is traded to the buyer.
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* @param mixed $maturity The security's maturity date.
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* The maturity date is the date when the security expires.
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* @param int $frequency the number of coupon payments per year.
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* Valid frequency values are:
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* 1 Annual
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* 2 Semi-Annual
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* 4 Quarterly
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* @param int $basis The type of day count to use.
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* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
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* @return float|string
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*/
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public static function COUPDAYBS($settlement, $maturity, $frequency, $basis = 0)
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{
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$settlement = Functions::flattenSingleValue($settlement);
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$maturity = Functions::flattenSingleValue($maturity);
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$frequency = (int) Functions::flattenSingleValue($frequency);
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$basis = ($basis === null) ? 0 : (int) Functions::flattenSingleValue($basis);
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if (is_string($settlement = DateTime::getDateValue($settlement))) {
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return Functions::VALUE();
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}
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if (is_string($maturity = DateTime::getDateValue($maturity))) {
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return Functions::VALUE();
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}
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if (
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($settlement >= $maturity) ||
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(!self::isValidFrequency($frequency)) ||
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(($basis < 0) || ($basis > 4))
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) {
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return Functions::NAN();
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}
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$daysPerYear = self::daysPerYear(DateTime::YEAR($settlement), $basis);
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$prev = self::couponFirstPeriodDate($settlement, $maturity, $frequency, false);
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if ($basis == 1) {
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return abs(DateTime::DAYS($prev, $settlement));
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}
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return DateTime::YEARFRAC($prev, $settlement, $basis) * $daysPerYear;
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}
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/**
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* COUPDAYS.
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*
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* Returns the number of days in the coupon period that contains the settlement date.
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*
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* Excel Function:
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* COUPDAYS(settlement,maturity,frequency[,basis])
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*
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* @param mixed $settlement The security's settlement date.
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* The security settlement date is the date after the issue
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* date when the security is traded to the buyer.
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* @param mixed $maturity The security's maturity date.
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* The maturity date is the date when the security expires.
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* @param mixed $frequency the number of coupon payments per year.
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* Valid frequency values are:
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* 1 Annual
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* 2 Semi-Annual
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* 4 Quarterly
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* @param int $basis The type of day count to use.
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* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
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* @return float|string
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*/
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public static function COUPDAYS($settlement, $maturity, $frequency, $basis = 0)
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{
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$settlement = Functions::flattenSingleValue($settlement);
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$maturity = Functions::flattenSingleValue($maturity);
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$frequency = (int) Functions::flattenSingleValue($frequency);
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$basis = ($basis === null) ? 0 : (int) Functions::flattenSingleValue($basis);
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if (is_string($settlement = DateTime::getDateValue($settlement))) {
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return Functions::VALUE();
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}
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if (is_string($maturity = DateTime::getDateValue($maturity))) {
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return Functions::VALUE();
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}
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if (
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($settlement >= $maturity) ||
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(!self::isValidFrequency($frequency)) ||
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(($basis < 0) || ($basis > 4))
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) {
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return Functions::NAN();
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}
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switch ($basis) {
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case 3:
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// Actual/365
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return 365 / $frequency;
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case 1:
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// Actual/actual
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if ($frequency == 1) {
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$daysPerYear = self::daysPerYear(DateTime::YEAR($settlement), $basis);
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return $daysPerYear / $frequency;
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}
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$prev = self::couponFirstPeriodDate($settlement, $maturity, $frequency, false);
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$next = self::couponFirstPeriodDate($settlement, $maturity, $frequency, true);
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return $next - $prev;
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default:
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// US (NASD) 30/360, Actual/360 or European 30/360
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return 360 / $frequency;
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}
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}
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|
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/**
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|
* COUPDAYSNC.
|
|
*
|
|
* Returns the number of days from the settlement date to the next coupon date.
|
|
*
|
|
* Excel Function:
|
|
* COUPDAYSNC(settlement,maturity,frequency[,basis])
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security settlement date is the date after the issue
|
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* date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param mixed $frequency the number of coupon payments per year.
|
|
* Valid frequency values are:
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* 1 Annual
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* 2 Semi-Annual
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|
* 4 Quarterly
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
|
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* @return float|string
|
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*/
|
|
public static function COUPDAYSNC($settlement, $maturity, $frequency, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$frequency = (int) Functions::flattenSingleValue($frequency);
|
|
$basis = ($basis === null) ? 0 : (int) Functions::flattenSingleValue($basis);
|
|
|
|
if (is_string($settlement = DateTime::getDateValue($settlement))) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (is_string($maturity = DateTime::getDateValue($maturity))) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
if (
|
|
($settlement >= $maturity) ||
|
|
(!self::isValidFrequency($frequency)) ||
|
|
(($basis < 0) || ($basis > 4))
|
|
) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
$daysPerYear = self::daysPerYear(DateTime::YEAR($settlement), $basis);
|
|
$next = self::couponFirstPeriodDate($settlement, $maturity, $frequency, true);
|
|
|
|
return DateTime::YEARFRAC($settlement, $next, $basis) * $daysPerYear;
|
|
}
|
|
|
|
/**
|
|
* COUPNCD.
|
|
*
|
|
* Returns the next coupon date after the settlement date.
|
|
*
|
|
* Excel Function:
|
|
* COUPNCD(settlement,maturity,frequency[,basis])
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security settlement date is the date after the issue
|
|
* date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param mixed $frequency the number of coupon payments per year.
|
|
* Valid frequency values are:
|
|
* 1 Annual
|
|
* 2 Semi-Annual
|
|
* 4 Quarterly
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
|
|
* 1 Actual/actual
|
|
* 2 Actual/360
|
|
* 3 Actual/365
|
|
* 4 European 30/360
|
|
*
|
|
* @return mixed Excel date/time serial value, PHP date/time serial value or PHP date/time object,
|
|
* depending on the value of the ReturnDateType flag
|
|
*/
|
|
public static function COUPNCD($settlement, $maturity, $frequency, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$frequency = (int) Functions::flattenSingleValue($frequency);
|
|
$basis = ($basis === null) ? 0 : (int) Functions::flattenSingleValue($basis);
|
|
|
|
if (is_string($settlement = DateTime::getDateValue($settlement))) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (is_string($maturity = DateTime::getDateValue($maturity))) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
if (
|
|
($settlement >= $maturity) ||
|
|
(!self::isValidFrequency($frequency)) ||
|
|
(($basis < 0) || ($basis > 4))
|
|
) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return self::couponFirstPeriodDate($settlement, $maturity, $frequency, true);
|
|
}
|
|
|
|
/**
|
|
* COUPNUM.
|
|
*
|
|
* Returns the number of coupons payable between the settlement date and maturity date,
|
|
* rounded up to the nearest whole coupon.
|
|
*
|
|
* Excel Function:
|
|
* COUPNUM(settlement,maturity,frequency[,basis])
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security settlement date is the date after the issue
|
|
* date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param mixed $frequency the number of coupon payments per year.
|
|
* Valid frequency values are:
|
|
* 1 Annual
|
|
* 2 Semi-Annual
|
|
* 4 Quarterly
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
|
|
* 1 Actual/actual
|
|
* 2 Actual/360
|
|
* 3 Actual/365
|
|
* 4 European 30/360
|
|
*
|
|
* @return int|string
|
|
*/
|
|
public static function COUPNUM($settlement, $maturity, $frequency, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$frequency = (int) Functions::flattenSingleValue($frequency);
|
|
$basis = ($basis === null) ? 0 : (int) Functions::flattenSingleValue($basis);
|
|
|
|
if (is_string($settlement = DateTime::getDateValue($settlement))) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (is_string($maturity = DateTime::getDateValue($maturity))) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
if (
|
|
($settlement >= $maturity) ||
|
|
(!self::isValidFrequency($frequency)) ||
|
|
(($basis < 0) || ($basis > 4))
|
|
) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
$yearsBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, 0);
|
|
|
|
return ceil($yearsBetweenSettlementAndMaturity * $frequency);
|
|
}
|
|
|
|
/**
|
|
* COUPPCD.
|
|
*
|
|
* Returns the previous coupon date before the settlement date.
|
|
*
|
|
* Excel Function:
|
|
* COUPPCD(settlement,maturity,frequency[,basis])
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security settlement date is the date after the issue
|
|
* date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param mixed $frequency the number of coupon payments per year.
|
|
* Valid frequency values are:
|
|
* 1 Annual
|
|
* 2 Semi-Annual
|
|
* 4 Quarterly
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
|
|
* 1 Actual/actual
|
|
* 2 Actual/360
|
|
* 3 Actual/365
|
|
* 4 European 30/360
|
|
*
|
|
* @return mixed Excel date/time serial value, PHP date/time serial value or PHP date/time object,
|
|
* depending on the value of the ReturnDateType flag
|
|
*/
|
|
public static function COUPPCD($settlement, $maturity, $frequency, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$frequency = (int) Functions::flattenSingleValue($frequency);
|
|
$basis = ($basis === null) ? 0 : (int) Functions::flattenSingleValue($basis);
|
|
|
|
if (is_string($settlement = DateTime::getDateValue($settlement))) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (is_string($maturity = DateTime::getDateValue($maturity))) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
if (
|
|
($settlement >= $maturity) ||
|
|
(!self::isValidFrequency($frequency)) ||
|
|
(($basis < 0) || ($basis > 4))
|
|
) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return self::couponFirstPeriodDate($settlement, $maturity, $frequency, false);
|
|
}
|
|
|
|
/**
|
|
* CUMIPMT.
|
|
*
|
|
* Returns the cumulative interest paid on a loan between the start and end periods.
|
|
*
|
|
* Excel Function:
|
|
* CUMIPMT(rate,nper,pv,start,end[,type])
|
|
*
|
|
* @param float $rate The Interest rate
|
|
* @param int $nper The total number of payment periods
|
|
* @param float $pv Present Value
|
|
* @param int $start The first period in the calculation.
|
|
* Payment periods are numbered beginning with 1.
|
|
* @param int $end the last period in the calculation
|
|
* @param int $type A number 0 or 1 and indicates when payments are due:
|
|
* 0 or omitted At the end of the period.
|
|
* 1 At the beginning of the period.
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function CUMIPMT($rate, $nper, $pv, $start, $end, $type = 0)
|
|
{
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$nper = (int) Functions::flattenSingleValue($nper);
|
|
$pv = Functions::flattenSingleValue($pv);
|
|
$start = (int) Functions::flattenSingleValue($start);
|
|
$end = (int) Functions::flattenSingleValue($end);
|
|
$type = (int) Functions::flattenSingleValue($type);
|
|
|
|
// Validate parameters
|
|
if ($type != 0 && $type != 1) {
|
|
return Functions::NAN();
|
|
}
|
|
if ($start < 1 || $start > $end) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
// Calculate
|
|
$interest = 0;
|
|
for ($per = $start; $per <= $end; ++$per) {
|
|
$interest += self::IPMT($rate, $per, $nper, $pv, 0, $type);
|
|
}
|
|
|
|
return $interest;
|
|
}
|
|
|
|
/**
|
|
* CUMPRINC.
|
|
*
|
|
* Returns the cumulative principal paid on a loan between the start and end periods.
|
|
*
|
|
* Excel Function:
|
|
* CUMPRINC(rate,nper,pv,start,end[,type])
|
|
*
|
|
* @param float $rate The Interest rate
|
|
* @param int $nper The total number of payment periods
|
|
* @param float $pv Present Value
|
|
* @param int $start The first period in the calculation.
|
|
* Payment periods are numbered beginning with 1.
|
|
* @param int $end the last period in the calculation
|
|
* @param int $type A number 0 or 1 and indicates when payments are due:
|
|
* 0 or omitted At the end of the period.
|
|
* 1 At the beginning of the period.
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function CUMPRINC($rate, $nper, $pv, $start, $end, $type = 0)
|
|
{
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$nper = (int) Functions::flattenSingleValue($nper);
|
|
$pv = Functions::flattenSingleValue($pv);
|
|
$start = (int) Functions::flattenSingleValue($start);
|
|
$end = (int) Functions::flattenSingleValue($end);
|
|
$type = (int) Functions::flattenSingleValue($type);
|
|
|
|
// Validate parameters
|
|
if ($type != 0 && $type != 1) {
|
|
return Functions::NAN();
|
|
}
|
|
if ($start < 1 || $start > $end) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
// Calculate
|
|
$principal = 0;
|
|
for ($per = $start; $per <= $end; ++$per) {
|
|
$principal += self::PPMT($rate, $per, $nper, $pv, 0, $type);
|
|
}
|
|
|
|
return $principal;
|
|
}
|
|
|
|
/**
|
|
* DB.
|
|
*
|
|
* Returns the depreciation of an asset for a specified period using the
|
|
* fixed-declining balance method.
|
|
* This form of depreciation is used if you want to get a higher depreciation value
|
|
* at the beginning of the depreciation (as opposed to linear depreciation). The
|
|
* depreciation value is reduced with every depreciation period by the depreciation
|
|
* already deducted from the initial cost.
|
|
*
|
|
* Excel Function:
|
|
* DB(cost,salvage,life,period[,month])
|
|
*
|
|
* @param float $cost Initial cost of the asset
|
|
* @param float $salvage Value at the end of the depreciation.
|
|
* (Sometimes called the salvage value of the asset)
|
|
* @param int $life Number of periods over which the asset is depreciated.
|
|
* (Sometimes called the useful life of the asset)
|
|
* @param int $period The period for which you want to calculate the
|
|
* depreciation. Period must use the same units as life.
|
|
* @param int $month Number of months in the first year. If month is omitted,
|
|
* it defaults to 12.
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function DB($cost, $salvage, $life, $period, $month = 12)
|
|
{
|
|
$cost = Functions::flattenSingleValue($cost);
|
|
$salvage = Functions::flattenSingleValue($salvage);
|
|
$life = Functions::flattenSingleValue($life);
|
|
$period = Functions::flattenSingleValue($period);
|
|
$month = Functions::flattenSingleValue($month);
|
|
|
|
// Validate
|
|
if ((is_numeric($cost)) && (is_numeric($salvage)) && (is_numeric($life)) && (is_numeric($period)) && (is_numeric($month))) {
|
|
$cost = (float) $cost;
|
|
$salvage = (float) $salvage;
|
|
$life = (int) $life;
|
|
$period = (int) $period;
|
|
$month = (int) $month;
|
|
if ($cost == 0) {
|
|
return 0.0;
|
|
} elseif (($cost < 0) || (($salvage / $cost) < 0) || ($life <= 0) || ($period < 1) || ($month < 1)) {
|
|
return Functions::NAN();
|
|
}
|
|
// Set Fixed Depreciation Rate
|
|
$fixedDepreciationRate = 1 - ($salvage / $cost) ** (1 / $life);
|
|
$fixedDepreciationRate = round($fixedDepreciationRate, 3);
|
|
|
|
// Loop through each period calculating the depreciation
|
|
$previousDepreciation = 0;
|
|
$depreciation = 0;
|
|
for ($per = 1; $per <= $period; ++$per) {
|
|
if ($per == 1) {
|
|
$depreciation = $cost * $fixedDepreciationRate * $month / 12;
|
|
} elseif ($per == ($life + 1)) {
|
|
$depreciation = ($cost - $previousDepreciation) * $fixedDepreciationRate * (12 - $month) / 12;
|
|
} else {
|
|
$depreciation = ($cost - $previousDepreciation) * $fixedDepreciationRate;
|
|
}
|
|
$previousDepreciation += $depreciation;
|
|
}
|
|
|
|
return $depreciation;
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* DDB.
|
|
*
|
|
* Returns the depreciation of an asset for a specified period using the
|
|
* double-declining balance method or some other method you specify.
|
|
*
|
|
* Excel Function:
|
|
* DDB(cost,salvage,life,period[,factor])
|
|
*
|
|
* @param float $cost Initial cost of the asset
|
|
* @param float $salvage Value at the end of the depreciation.
|
|
* (Sometimes called the salvage value of the asset)
|
|
* @param int $life Number of periods over which the asset is depreciated.
|
|
* (Sometimes called the useful life of the asset)
|
|
* @param int $period The period for which you want to calculate the
|
|
* depreciation. Period must use the same units as life.
|
|
* @param float $factor The rate at which the balance declines.
|
|
* If factor is omitted, it is assumed to be 2 (the
|
|
* double-declining balance method).
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function DDB($cost, $salvage, $life, $period, $factor = 2.0)
|
|
{
|
|
$cost = Functions::flattenSingleValue($cost);
|
|
$salvage = Functions::flattenSingleValue($salvage);
|
|
$life = Functions::flattenSingleValue($life);
|
|
$period = Functions::flattenSingleValue($period);
|
|
$factor = Functions::flattenSingleValue($factor);
|
|
|
|
// Validate
|
|
if ((is_numeric($cost)) && (is_numeric($salvage)) && (is_numeric($life)) && (is_numeric($period)) && (is_numeric($factor))) {
|
|
$cost = (float) $cost;
|
|
$salvage = (float) $salvage;
|
|
$life = (int) $life;
|
|
$period = (int) $period;
|
|
$factor = (float) $factor;
|
|
if (($cost <= 0) || (($salvage / $cost) < 0) || ($life <= 0) || ($period < 1) || ($factor <= 0.0) || ($period > $life)) {
|
|
return Functions::NAN();
|
|
}
|
|
// Set Fixed Depreciation Rate
|
|
$fixedDepreciationRate = 1 - ($salvage / $cost) ** (1 / $life);
|
|
$fixedDepreciationRate = round($fixedDepreciationRate, 3);
|
|
|
|
// Loop through each period calculating the depreciation
|
|
$previousDepreciation = 0;
|
|
$depreciation = 0;
|
|
for ($per = 1; $per <= $period; ++$per) {
|
|
$depreciation = min(($cost - $previousDepreciation) * ($factor / $life), ($cost - $salvage - $previousDepreciation));
|
|
$previousDepreciation += $depreciation;
|
|
}
|
|
|
|
return $depreciation;
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* DISC.
|
|
*
|
|
* Returns the discount rate for a security.
|
|
*
|
|
* Excel Function:
|
|
* DISC(settlement,maturity,price,redemption[,basis])
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security settlement date is the date after the issue
|
|
* date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param int $price The security's price per $100 face value
|
|
* @param int $redemption The security's redemption value per $100 face value
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
|
|
* 1 Actual/actual
|
|
* 2 Actual/360
|
|
* 3 Actual/365
|
|
* 4 European 30/360
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function DISC($settlement, $maturity, $price, $redemption, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$price = Functions::flattenSingleValue($price);
|
|
$redemption = Functions::flattenSingleValue($redemption);
|
|
$basis = Functions::flattenSingleValue($basis);
|
|
|
|
// Validate
|
|
if ((is_numeric($price)) && (is_numeric($redemption)) && (is_numeric($basis))) {
|
|
$price = (float) $price;
|
|
$redemption = (float) $redemption;
|
|
$basis = (int) $basis;
|
|
if (($price <= 0) || ($redemption <= 0)) {
|
|
return Functions::NAN();
|
|
}
|
|
$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, $basis);
|
|
if (!is_numeric($daysBetweenSettlementAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenSettlementAndMaturity;
|
|
}
|
|
|
|
return (1 - $price / $redemption) / $daysBetweenSettlementAndMaturity;
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* DOLLARDE.
|
|
*
|
|
* Converts a dollar price expressed as an integer part and a fraction
|
|
* part into a dollar price expressed as a decimal number.
|
|
* Fractional dollar numbers are sometimes used for security prices.
|
|
*
|
|
* Excel Function:
|
|
* DOLLARDE(fractional_dollar,fraction)
|
|
*
|
|
* @param float $fractional_dollar Fractional Dollar
|
|
* @param int $fraction Fraction
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function DOLLARDE($fractional_dollar = null, $fraction = 0)
|
|
{
|
|
$fractional_dollar = Functions::flattenSingleValue($fractional_dollar);
|
|
$fraction = (int) Functions::flattenSingleValue($fraction);
|
|
|
|
// Validate parameters
|
|
if ($fractional_dollar === null || $fraction < 0) {
|
|
return Functions::NAN();
|
|
}
|
|
if ($fraction == 0) {
|
|
return Functions::DIV0();
|
|
}
|
|
|
|
$dollars = floor($fractional_dollar);
|
|
$cents = fmod($fractional_dollar, 1);
|
|
$cents /= $fraction;
|
|
$cents *= 10 ** ceil(log10($fraction));
|
|
|
|
return $dollars + $cents;
|
|
}
|
|
|
|
/**
|
|
* DOLLARFR.
|
|
*
|
|
* Converts a dollar price expressed as a decimal number into a dollar price
|
|
* expressed as a fraction.
|
|
* Fractional dollar numbers are sometimes used for security prices.
|
|
*
|
|
* Excel Function:
|
|
* DOLLARFR(decimal_dollar,fraction)
|
|
*
|
|
* @param float $decimal_dollar Decimal Dollar
|
|
* @param int $fraction Fraction
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function DOLLARFR($decimal_dollar = null, $fraction = 0)
|
|
{
|
|
$decimal_dollar = Functions::flattenSingleValue($decimal_dollar);
|
|
$fraction = (int) Functions::flattenSingleValue($fraction);
|
|
|
|
// Validate parameters
|
|
if ($decimal_dollar === null || $fraction < 0) {
|
|
return Functions::NAN();
|
|
}
|
|
if ($fraction == 0) {
|
|
return Functions::DIV0();
|
|
}
|
|
|
|
$dollars = floor($decimal_dollar);
|
|
$cents = fmod($decimal_dollar, 1);
|
|
$cents *= $fraction;
|
|
$cents *= 10 ** (-ceil(log10($fraction)));
|
|
|
|
return $dollars + $cents;
|
|
}
|
|
|
|
/**
|
|
* EFFECT.
|
|
*
|
|
* Returns the effective interest rate given the nominal rate and the number of
|
|
* compounding payments per year.
|
|
*
|
|
* Excel Function:
|
|
* EFFECT(nominal_rate,npery)
|
|
*
|
|
* @param float $nominal_rate Nominal interest rate
|
|
* @param int $npery Number of compounding payments per year
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function EFFECT($nominal_rate = 0, $npery = 0)
|
|
{
|
|
$nominal_rate = Functions::flattenSingleValue($nominal_rate);
|
|
$npery = (int) Functions::flattenSingleValue($npery);
|
|
|
|
// Validate parameters
|
|
if ($nominal_rate <= 0 || $npery < 1) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return (1 + $nominal_rate / $npery) ** $npery - 1;
|
|
}
|
|
|
|
/**
|
|
* FV.
|
|
*
|
|
* Returns the Future Value of a cash flow with constant payments and interest rate (annuities).
|
|
*
|
|
* Excel Function:
|
|
* FV(rate,nper,pmt[,pv[,type]])
|
|
*
|
|
* @param float $rate The interest rate per period
|
|
* @param int $nper Total number of payment periods in an annuity
|
|
* @param float $pmt The payment made each period: it cannot change over the
|
|
* life of the annuity. Typically, pmt contains principal
|
|
* and interest but no other fees or taxes.
|
|
* @param float $pv present Value, or the lump-sum amount that a series of
|
|
* future payments is worth right now
|
|
* @param int $type A number 0 or 1 and indicates when payments are due:
|
|
* 0 or omitted At the end of the period.
|
|
* 1 At the beginning of the period.
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function FV($rate = 0, $nper = 0, $pmt = 0, $pv = 0, $type = 0)
|
|
{
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$nper = Functions::flattenSingleValue($nper);
|
|
$pmt = Functions::flattenSingleValue($pmt);
|
|
$pv = Functions::flattenSingleValue($pv);
|
|
$type = Functions::flattenSingleValue($type);
|
|
|
|
// Validate parameters
|
|
if ($type != 0 && $type != 1) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
// Calculate
|
|
if ($rate !== null && $rate != 0) {
|
|
return -$pv * (1 + $rate) ** $nper - $pmt * (1 + $rate * $type) * ((1 + $rate) ** $nper - 1) / $rate;
|
|
}
|
|
|
|
return -$pv - $pmt * $nper;
|
|
}
|
|
|
|
/**
|
|
* FVSCHEDULE.
|
|
*
|
|
* Returns the future value of an initial principal after applying a series of compound interest rates.
|
|
* Use FVSCHEDULE to calculate the future value of an investment with a variable or adjustable rate.
|
|
*
|
|
* Excel Function:
|
|
* FVSCHEDULE(principal,schedule)
|
|
*
|
|
* @param float $principal the present value
|
|
* @param float[] $schedule an array of interest rates to apply
|
|
*
|
|
* @return float
|
|
*/
|
|
public static function FVSCHEDULE($principal, $schedule)
|
|
{
|
|
$principal = Functions::flattenSingleValue($principal);
|
|
$schedule = Functions::flattenArray($schedule);
|
|
|
|
foreach ($schedule as $rate) {
|
|
$principal *= 1 + $rate;
|
|
}
|
|
|
|
return $principal;
|
|
}
|
|
|
|
/**
|
|
* INTRATE.
|
|
*
|
|
* Returns the interest rate for a fully invested security.
|
|
*
|
|
* Excel Function:
|
|
* INTRATE(settlement,maturity,investment,redemption[,basis])
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security settlement date is the date after the issue date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param int $investment the amount invested in the security
|
|
* @param int $redemption the amount to be received at maturity
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
|
|
* 1 Actual/actual
|
|
* 2 Actual/360
|
|
* 3 Actual/365
|
|
* 4 European 30/360
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function INTRATE($settlement, $maturity, $investment, $redemption, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$investment = Functions::flattenSingleValue($investment);
|
|
$redemption = Functions::flattenSingleValue($redemption);
|
|
$basis = Functions::flattenSingleValue($basis);
|
|
|
|
// Validate
|
|
if ((is_numeric($investment)) && (is_numeric($redemption)) && (is_numeric($basis))) {
|
|
$investment = (float) $investment;
|
|
$redemption = (float) $redemption;
|
|
$basis = (int) $basis;
|
|
if (($investment <= 0) || ($redemption <= 0)) {
|
|
return Functions::NAN();
|
|
}
|
|
$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, $basis);
|
|
if (!is_numeric($daysBetweenSettlementAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenSettlementAndMaturity;
|
|
}
|
|
|
|
return (($redemption / $investment) - 1) / ($daysBetweenSettlementAndMaturity);
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* IPMT.
|
|
*
|
|
* Returns the interest payment for a given period for an investment based on periodic, constant payments and a constant interest rate.
|
|
*
|
|
* Excel Function:
|
|
* IPMT(rate,per,nper,pv[,fv][,type])
|
|
*
|
|
* @param float $rate Interest rate per period
|
|
* @param int $per Period for which we want to find the interest
|
|
* @param int $nper Number of periods
|
|
* @param float $pv Present Value
|
|
* @param float $fv Future Value
|
|
* @param int $type Payment type: 0 = at the end of each period, 1 = at the beginning of each period
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function IPMT($rate, $per, $nper, $pv, $fv = 0, $type = 0)
|
|
{
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$per = (int) Functions::flattenSingleValue($per);
|
|
$nper = (int) Functions::flattenSingleValue($nper);
|
|
$pv = Functions::flattenSingleValue($pv);
|
|
$fv = Functions::flattenSingleValue($fv);
|
|
$type = (int) Functions::flattenSingleValue($type);
|
|
|
|
// Validate parameters
|
|
if ($type != 0 && $type != 1) {
|
|
return Functions::NAN();
|
|
}
|
|
if ($per <= 0 || $per > $nper) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
// Calculate
|
|
$interestAndPrincipal = self::interestAndPrincipal($rate, $per, $nper, $pv, $fv, $type);
|
|
|
|
return $interestAndPrincipal[0];
|
|
}
|
|
|
|
/**
|
|
* IRR.
|
|
*
|
|
* Returns the internal rate of return for a series of cash flows represented by the numbers in values.
|
|
* These cash flows do not have to be even, as they would be for an annuity. However, the cash flows must occur
|
|
* at regular intervals, such as monthly or annually. The internal rate of return is the interest rate received
|
|
* for an investment consisting of payments (negative values) and income (positive values) that occur at regular
|
|
* periods.
|
|
*
|
|
* Excel Function:
|
|
* IRR(values[,guess])
|
|
*
|
|
* @param float[] $values An array or a reference to cells that contain numbers for which you want
|
|
* to calculate the internal rate of return.
|
|
* Values must contain at least one positive value and one negative value to
|
|
* calculate the internal rate of return.
|
|
* @param float $guess A number that you guess is close to the result of IRR
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function IRR($values, $guess = 0.1)
|
|
{
|
|
if (!is_array($values)) {
|
|
return Functions::VALUE();
|
|
}
|
|
$values = Functions::flattenArray($values);
|
|
$guess = Functions::flattenSingleValue($guess);
|
|
|
|
// create an initial range, with a root somewhere between 0 and guess
|
|
$x1 = 0.0;
|
|
$x2 = $guess;
|
|
$f1 = self::NPV($x1, $values);
|
|
$f2 = self::NPV($x2, $values);
|
|
for ($i = 0; $i < self::FINANCIAL_MAX_ITERATIONS; ++$i) {
|
|
if (($f1 * $f2) < 0.0) {
|
|
break;
|
|
}
|
|
if (abs($f1) < abs($f2)) {
|
|
$f1 = self::NPV($x1 += 1.6 * ($x1 - $x2), $values);
|
|
} else {
|
|
$f2 = self::NPV($x2 += 1.6 * ($x2 - $x1), $values);
|
|
}
|
|
}
|
|
if (($f1 * $f2) > 0.0) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
$f = self::NPV($x1, $values);
|
|
if ($f < 0.0) {
|
|
$rtb = $x1;
|
|
$dx = $x2 - $x1;
|
|
} else {
|
|
$rtb = $x2;
|
|
$dx = $x1 - $x2;
|
|
}
|
|
|
|
for ($i = 0; $i < self::FINANCIAL_MAX_ITERATIONS; ++$i) {
|
|
$dx *= 0.5;
|
|
$x_mid = $rtb + $dx;
|
|
$f_mid = self::NPV($x_mid, $values);
|
|
if ($f_mid <= 0.0) {
|
|
$rtb = $x_mid;
|
|
}
|
|
if ((abs($f_mid) < self::FINANCIAL_PRECISION) || (abs($dx) < self::FINANCIAL_PRECISION)) {
|
|
return $x_mid;
|
|
}
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* ISPMT.
|
|
*
|
|
* Returns the interest payment for an investment based on an interest rate and a constant payment schedule.
|
|
*
|
|
* Excel Function:
|
|
* =ISPMT(interest_rate, period, number_payments, PV)
|
|
*
|
|
* interest_rate is the interest rate for the investment
|
|
*
|
|
* period is the period to calculate the interest rate. It must be betweeen 1 and number_payments.
|
|
*
|
|
* number_payments is the number of payments for the annuity
|
|
*
|
|
* PV is the loan amount or present value of the payments
|
|
*/
|
|
public static function ISPMT(...$args)
|
|
{
|
|
// Return value
|
|
$returnValue = 0;
|
|
|
|
// Get the parameters
|
|
$aArgs = Functions::flattenArray($args);
|
|
$interestRate = array_shift($aArgs);
|
|
$period = array_shift($aArgs);
|
|
$numberPeriods = array_shift($aArgs);
|
|
$principleRemaining = array_shift($aArgs);
|
|
|
|
// Calculate
|
|
$principlePayment = ($principleRemaining * 1.0) / ($numberPeriods * 1.0);
|
|
for ($i = 0; $i <= $period; ++$i) {
|
|
$returnValue = $interestRate * $principleRemaining * -1;
|
|
$principleRemaining -= $principlePayment;
|
|
// principle needs to be 0 after the last payment, don't let floating point screw it up
|
|
if ($i == $numberPeriods) {
|
|
$returnValue = 0;
|
|
}
|
|
}
|
|
|
|
return $returnValue;
|
|
}
|
|
|
|
/**
|
|
* MIRR.
|
|
*
|
|
* Returns the modified internal rate of return for a series of periodic cash flows. MIRR considers both
|
|
* the cost of the investment and the interest received on reinvestment of cash.
|
|
*
|
|
* Excel Function:
|
|
* MIRR(values,finance_rate, reinvestment_rate)
|
|
*
|
|
* @param float[] $values An array or a reference to cells that contain a series of payments and
|
|
* income occurring at regular intervals.
|
|
* Payments are negative value, income is positive values.
|
|
* @param float $finance_rate The interest rate you pay on the money used in the cash flows
|
|
* @param float $reinvestment_rate The interest rate you receive on the cash flows as you reinvest them
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function MIRR($values, $finance_rate, $reinvestment_rate)
|
|
{
|
|
if (!is_array($values)) {
|
|
return Functions::VALUE();
|
|
}
|
|
$values = Functions::flattenArray($values);
|
|
$finance_rate = Functions::flattenSingleValue($finance_rate);
|
|
$reinvestment_rate = Functions::flattenSingleValue($reinvestment_rate);
|
|
$n = count($values);
|
|
|
|
$rr = 1.0 + $reinvestment_rate;
|
|
$fr = 1.0 + $finance_rate;
|
|
|
|
$npv_pos = $npv_neg = 0.0;
|
|
foreach ($values as $i => $v) {
|
|
if ($v >= 0) {
|
|
$npv_pos += $v / $rr ** $i;
|
|
} else {
|
|
$npv_neg += $v / $fr ** $i;
|
|
}
|
|
}
|
|
|
|
if (($npv_neg == 0) || ($npv_pos == 0) || ($reinvestment_rate <= -1)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
$mirr = ((-$npv_pos * $rr ** $n)
|
|
/ ($npv_neg * ($rr))) ** (1.0 / ($n - 1)) - 1.0;
|
|
|
|
return is_finite($mirr) ? $mirr : Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* NOMINAL.
|
|
*
|
|
* Returns the nominal interest rate given the effective rate and the number of compounding payments per year.
|
|
*
|
|
* @param float $effect_rate Effective interest rate
|
|
* @param int $npery Number of compounding payments per year
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function NOMINAL($effect_rate = 0, $npery = 0)
|
|
{
|
|
$effect_rate = Functions::flattenSingleValue($effect_rate);
|
|
$npery = (int) Functions::flattenSingleValue($npery);
|
|
|
|
// Validate parameters
|
|
if ($effect_rate <= 0 || $npery < 1) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
// Calculate
|
|
return $npery * (($effect_rate + 1) ** (1 / $npery) - 1);
|
|
}
|
|
|
|
/**
|
|
* NPER.
|
|
*
|
|
* Returns the number of periods for a cash flow with constant periodic payments (annuities), and interest rate.
|
|
*
|
|
* @param float $rate Interest rate per period
|
|
* @param int $pmt Periodic payment (annuity)
|
|
* @param float $pv Present Value
|
|
* @param float $fv Future Value
|
|
* @param int $type Payment type: 0 = at the end of each period, 1 = at the beginning of each period
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function NPER($rate = 0, $pmt = 0, $pv = 0, $fv = 0, $type = 0)
|
|
{
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$pmt = Functions::flattenSingleValue($pmt);
|
|
$pv = Functions::flattenSingleValue($pv);
|
|
$fv = Functions::flattenSingleValue($fv);
|
|
$type = Functions::flattenSingleValue($type);
|
|
|
|
// Validate parameters
|
|
if ($type != 0 && $type != 1) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
// Calculate
|
|
if ($rate !== null && $rate != 0) {
|
|
if ($pmt == 0 && $pv == 0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return log(($pmt * (1 + $rate * $type) / $rate - $fv) / ($pv + $pmt * (1 + $rate * $type) / $rate)) / log(1 + $rate);
|
|
}
|
|
if ($pmt == 0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return (-$pv - $fv) / $pmt;
|
|
}
|
|
|
|
/**
|
|
* NPV.
|
|
*
|
|
* Returns the Net Present Value of a cash flow series given a discount rate.
|
|
*
|
|
* @return float
|
|
*/
|
|
public static function NPV(...$args)
|
|
{
|
|
// Return value
|
|
$returnValue = 0;
|
|
|
|
// Loop through arguments
|
|
$aArgs = Functions::flattenArray($args);
|
|
|
|
// Calculate
|
|
$rate = array_shift($aArgs);
|
|
$countArgs = count($aArgs);
|
|
for ($i = 1; $i <= $countArgs; ++$i) {
|
|
// Is it a numeric value?
|
|
if (is_numeric($aArgs[$i - 1])) {
|
|
$returnValue += $aArgs[$i - 1] / (1 + $rate) ** $i;
|
|
}
|
|
}
|
|
|
|
// Return
|
|
return $returnValue;
|
|
}
|
|
|
|
/**
|
|
* PDURATION.
|
|
*
|
|
* Calculates the number of periods required for an investment to reach a specified value.
|
|
*
|
|
* @param float $rate Interest rate per period
|
|
* @param float $pv Present Value
|
|
* @param float $fv Future Value
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function PDURATION($rate = 0, $pv = 0, $fv = 0)
|
|
{
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$pv = Functions::flattenSingleValue($pv);
|
|
$fv = Functions::flattenSingleValue($fv);
|
|
|
|
// Validate parameters
|
|
if (!is_numeric($rate) || !is_numeric($pv) || !is_numeric($fv)) {
|
|
return Functions::VALUE();
|
|
} elseif ($rate <= 0.0 || $pv <= 0.0 || $fv <= 0.0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return (log($fv) - log($pv)) / log(1 + $rate);
|
|
}
|
|
|
|
/**
|
|
* PMT.
|
|
*
|
|
* Returns the constant payment (annuity) for a cash flow with a constant interest rate.
|
|
*
|
|
* @param float $rate Interest rate per period
|
|
* @param int $nper Number of periods
|
|
* @param float $pv Present Value
|
|
* @param float $fv Future Value
|
|
* @param int $type Payment type: 0 = at the end of each period, 1 = at the beginning of each period
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function PMT($rate = 0, $nper = 0, $pv = 0, $fv = 0, $type = 0)
|
|
{
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$nper = Functions::flattenSingleValue($nper);
|
|
$pv = Functions::flattenSingleValue($pv);
|
|
$fv = Functions::flattenSingleValue($fv);
|
|
$type = Functions::flattenSingleValue($type);
|
|
|
|
// Validate parameters
|
|
if ($type != 0 && $type != 1) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
// Calculate
|
|
if ($rate !== null && $rate != 0) {
|
|
return (-$fv - $pv * (1 + $rate) ** $nper) / (1 + $rate * $type) / (((1 + $rate) ** $nper - 1) / $rate);
|
|
}
|
|
|
|
return (-$pv - $fv) / $nper;
|
|
}
|
|
|
|
/**
|
|
* PPMT.
|
|
*
|
|
* Returns the interest payment for a given period for an investment based on periodic, constant payments and a constant interest rate.
|
|
*
|
|
* @param float $rate Interest rate per period
|
|
* @param int $per Period for which we want to find the interest
|
|
* @param int $nper Number of periods
|
|
* @param float $pv Present Value
|
|
* @param float $fv Future Value
|
|
* @param int $type Payment type: 0 = at the end of each period, 1 = at the beginning of each period
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function PPMT($rate, $per, $nper, $pv, $fv = 0, $type = 0)
|
|
{
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$per = (int) Functions::flattenSingleValue($per);
|
|
$nper = (int) Functions::flattenSingleValue($nper);
|
|
$pv = Functions::flattenSingleValue($pv);
|
|
$fv = Functions::flattenSingleValue($fv);
|
|
$type = (int) Functions::flattenSingleValue($type);
|
|
|
|
// Validate parameters
|
|
if ($type != 0 && $type != 1) {
|
|
return Functions::NAN();
|
|
}
|
|
if ($per <= 0 || $per > $nper) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
// Calculate
|
|
$interestAndPrincipal = self::interestAndPrincipal($rate, $per, $nper, $pv, $fv, $type);
|
|
|
|
return $interestAndPrincipal[1];
|
|
}
|
|
|
|
private static function validatePrice($settlement, $maturity, $rate, $yield, $redemption, $frequency, $basis)
|
|
{
|
|
if (is_string($settlement)) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (is_string($maturity)) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (!is_numeric($rate)) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (!is_numeric($yield)) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (!is_numeric($redemption)) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (!is_numeric($frequency)) {
|
|
return Functions::VALUE();
|
|
}
|
|
if (!is_numeric($basis)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
return '';
|
|
}
|
|
|
|
public static function PRICE($settlement, $maturity, $rate, $yield, $redemption, $frequency, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$yield = Functions::flattenSingleValue($yield);
|
|
$redemption = Functions::flattenSingleValue($redemption);
|
|
$frequency = Functions::flattenSingleValue($frequency);
|
|
$basis = Functions::flattenSingleValue($basis);
|
|
|
|
$settlement = DateTime::getDateValue($settlement);
|
|
$maturity = DateTime::getDateValue($maturity);
|
|
$rslt = self::validatePrice($settlement, $maturity, $rate, $yield, $redemption, $frequency, $basis);
|
|
if ($rslt) {
|
|
return $rslt;
|
|
}
|
|
$rate = (float) $rate;
|
|
$yield = (float) $yield;
|
|
$redemption = (float) $redemption;
|
|
$frequency = (int) $frequency;
|
|
$basis = (int) $basis;
|
|
|
|
if (
|
|
($settlement > $maturity) ||
|
|
(!self::isValidFrequency($frequency)) ||
|
|
(($basis < 0) || ($basis > 4))
|
|
) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
$dsc = self::COUPDAYSNC($settlement, $maturity, $frequency, $basis);
|
|
$e = self::COUPDAYS($settlement, $maturity, $frequency, $basis);
|
|
$n = self::COUPNUM($settlement, $maturity, $frequency, $basis);
|
|
$a = self::COUPDAYBS($settlement, $maturity, $frequency, $basis);
|
|
|
|
$baseYF = 1.0 + ($yield / $frequency);
|
|
$rfp = 100 * ($rate / $frequency);
|
|
$de = $dsc / $e;
|
|
|
|
$result = $redemption / $baseYF ** (--$n + $de);
|
|
for ($k = 0; $k <= $n; ++$k) {
|
|
$result += $rfp / ($baseYF ** ($k + $de));
|
|
}
|
|
$result -= $rfp * ($a / $e);
|
|
|
|
return $result;
|
|
}
|
|
|
|
/**
|
|
* PRICEDISC.
|
|
*
|
|
* Returns the price per $100 face value of a discounted security.
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security settlement date is the date after the issue date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param int $discount The security's discount rate
|
|
* @param int $redemption The security's redemption value per $100 face value
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
|
|
* 1 Actual/actual
|
|
* 2 Actual/360
|
|
* 3 Actual/365
|
|
* 4 European 30/360
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function PRICEDISC($settlement, $maturity, $discount, $redemption, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$discount = (float) Functions::flattenSingleValue($discount);
|
|
$redemption = (float) Functions::flattenSingleValue($redemption);
|
|
$basis = (int) Functions::flattenSingleValue($basis);
|
|
|
|
// Validate
|
|
if ((is_numeric($discount)) && (is_numeric($redemption)) && (is_numeric($basis))) {
|
|
if (($discount <= 0) || ($redemption <= 0)) {
|
|
return Functions::NAN();
|
|
}
|
|
$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, $basis);
|
|
if (!is_numeric($daysBetweenSettlementAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenSettlementAndMaturity;
|
|
}
|
|
|
|
return $redemption * (1 - $discount * $daysBetweenSettlementAndMaturity);
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* PRICEMAT.
|
|
*
|
|
* Returns the price per $100 face value of a security that pays interest at maturity.
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security's settlement date is the date after the issue date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param mixed $issue The security's issue date
|
|
* @param int $rate The security's interest rate at date of issue
|
|
* @param int $yield The security's annual yield
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
|
|
* 1 Actual/actual
|
|
* 2 Actual/360
|
|
* 3 Actual/365
|
|
* 4 European 30/360
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function PRICEMAT($settlement, $maturity, $issue, $rate, $yield, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$issue = Functions::flattenSingleValue($issue);
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$yield = Functions::flattenSingleValue($yield);
|
|
$basis = (int) Functions::flattenSingleValue($basis);
|
|
|
|
// Validate
|
|
if (is_numeric($rate) && is_numeric($yield)) {
|
|
if (($rate <= 0) || ($yield <= 0)) {
|
|
return Functions::NAN();
|
|
}
|
|
$daysPerYear = self::daysPerYear(DateTime::YEAR($settlement), $basis);
|
|
if (!is_numeric($daysPerYear)) {
|
|
return $daysPerYear;
|
|
}
|
|
$daysBetweenIssueAndSettlement = DateTime::YEARFRAC($issue, $settlement, $basis);
|
|
if (!is_numeric($daysBetweenIssueAndSettlement)) {
|
|
// return date error
|
|
return $daysBetweenIssueAndSettlement;
|
|
}
|
|
$daysBetweenIssueAndSettlement *= $daysPerYear;
|
|
$daysBetweenIssueAndMaturity = DateTime::YEARFRAC($issue, $maturity, $basis);
|
|
if (!is_numeric($daysBetweenIssueAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenIssueAndMaturity;
|
|
}
|
|
$daysBetweenIssueAndMaturity *= $daysPerYear;
|
|
$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, $basis);
|
|
if (!is_numeric($daysBetweenSettlementAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenSettlementAndMaturity;
|
|
}
|
|
$daysBetweenSettlementAndMaturity *= $daysPerYear;
|
|
|
|
return (100 + (($daysBetweenIssueAndMaturity / $daysPerYear) * $rate * 100)) /
|
|
(1 + (($daysBetweenSettlementAndMaturity / $daysPerYear) * $yield)) -
|
|
(($daysBetweenIssueAndSettlement / $daysPerYear) * $rate * 100);
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* PV.
|
|
*
|
|
* Returns the Present Value of a cash flow with constant payments and interest rate (annuities).
|
|
*
|
|
* @param float $rate Interest rate per period
|
|
* @param int $nper Number of periods
|
|
* @param float $pmt Periodic payment (annuity)
|
|
* @param float $fv Future Value
|
|
* @param int $type Payment type: 0 = at the end of each period, 1 = at the beginning of each period
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function PV($rate = 0, $nper = 0, $pmt = 0, $fv = 0, $type = 0)
|
|
{
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$nper = Functions::flattenSingleValue($nper);
|
|
$pmt = Functions::flattenSingleValue($pmt);
|
|
$fv = Functions::flattenSingleValue($fv);
|
|
$type = Functions::flattenSingleValue($type);
|
|
|
|
// Validate parameters
|
|
if ($type != 0 && $type != 1) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
// Calculate
|
|
if ($rate !== null && $rate != 0) {
|
|
return (-$pmt * (1 + $rate * $type) * (((1 + $rate) ** $nper - 1) / $rate) - $fv) / (1 + $rate) ** $nper;
|
|
}
|
|
|
|
return -$fv - $pmt * $nper;
|
|
}
|
|
|
|
/**
|
|
* RATE.
|
|
*
|
|
* Returns the interest rate per period of an annuity.
|
|
* RATE is calculated by iteration and can have zero or more solutions.
|
|
* If the successive results of RATE do not converge to within 0.0000001 after 20 iterations,
|
|
* RATE returns the #NUM! error value.
|
|
*
|
|
* Excel Function:
|
|
* RATE(nper,pmt,pv[,fv[,type[,guess]]])
|
|
*
|
|
* @param float $nper The total number of payment periods in an annuity
|
|
* @param float $pmt The payment made each period and cannot change over the life
|
|
* of the annuity.
|
|
* Typically, pmt includes principal and interest but no other
|
|
* fees or taxes.
|
|
* @param float $pv The present value - the total amount that a series of future
|
|
* payments is worth now
|
|
* @param float $fv The future value, or a cash balance you want to attain after
|
|
* the last payment is made. If fv is omitted, it is assumed
|
|
* to be 0 (the future value of a loan, for example, is 0).
|
|
* @param int $type A number 0 or 1 and indicates when payments are due:
|
|
* 0 or omitted At the end of the period.
|
|
* 1 At the beginning of the period.
|
|
* @param float $guess Your guess for what the rate will be.
|
|
* If you omit guess, it is assumed to be 10 percent.
|
|
*
|
|
* @return float|string
|
|
*/
|
|
public static function RATE($nper, $pmt, $pv, $fv = 0.0, $type = 0, $guess = 0.1)
|
|
{
|
|
$nper = (int) Functions::flattenSingleValue($nper);
|
|
$pmt = Functions::flattenSingleValue($pmt);
|
|
$pv = Functions::flattenSingleValue($pv);
|
|
$fv = ($fv === null) ? 0.0 : Functions::flattenSingleValue($fv);
|
|
$type = ($type === null) ? 0 : (int) Functions::flattenSingleValue($type);
|
|
$guess = ($guess === null) ? 0.1 : Functions::flattenSingleValue($guess);
|
|
|
|
$rate = $guess;
|
|
// rest of code adapted from python/numpy
|
|
$close = false;
|
|
$iter = 0;
|
|
while (!$close && $iter < self::FINANCIAL_MAX_ITERATIONS) {
|
|
$nextdiff = self::rateNextGuess($rate, $nper, $pmt, $pv, $fv, $type);
|
|
if (!is_numeric($nextdiff)) {
|
|
break;
|
|
}
|
|
$rate1 = $rate - $nextdiff;
|
|
$close = abs($rate1 - $rate) < self::FINANCIAL_PRECISION;
|
|
++$iter;
|
|
$rate = $rate1;
|
|
}
|
|
|
|
return $close ? $rate : Functions::NAN();
|
|
}
|
|
|
|
private static function rateNextGuess($rate, $nper, $pmt, $pv, $fv, $type)
|
|
{
|
|
if ($rate == 0) {
|
|
return Functions::NAN();
|
|
}
|
|
$tt1 = ($rate + 1) ** $nper;
|
|
$tt2 = ($rate + 1) ** ($nper - 1);
|
|
$numerator = $fv + $tt1 * $pv + $pmt * ($tt1 - 1) * ($rate * $type + 1) / $rate;
|
|
$denominator = $nper * $tt2 * $pv - $pmt * ($tt1 - 1) * ($rate * $type + 1) / ($rate * $rate)
|
|
+ $nper * $pmt * $tt2 * ($rate * $type + 1) / $rate
|
|
+ $pmt * ($tt1 - 1) * $type / $rate;
|
|
if ($denominator == 0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return $numerator / $denominator;
|
|
}
|
|
|
|
/**
|
|
* RECEIVED.
|
|
*
|
|
* Returns the price per $100 face value of a discounted security.
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security settlement date is the date after the issue date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param int $investment The amount invested in the security
|
|
* @param int $discount The security's discount rate
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
|
|
* 1 Actual/actual
|
|
* 2 Actual/360
|
|
* 3 Actual/365
|
|
* 4 European 30/360
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function RECEIVED($settlement, $maturity, $investment, $discount, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$investment = (float) Functions::flattenSingleValue($investment);
|
|
$discount = (float) Functions::flattenSingleValue($discount);
|
|
$basis = (int) Functions::flattenSingleValue($basis);
|
|
|
|
// Validate
|
|
if ((is_numeric($investment)) && (is_numeric($discount)) && (is_numeric($basis))) {
|
|
if (($investment <= 0) || ($discount <= 0)) {
|
|
return Functions::NAN();
|
|
}
|
|
$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, $basis);
|
|
if (!is_numeric($daysBetweenSettlementAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenSettlementAndMaturity;
|
|
}
|
|
|
|
return $investment / (1 - ($discount * $daysBetweenSettlementAndMaturity));
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* RRI.
|
|
*
|
|
* Calculates the interest rate required for an investment to grow to a specified future value .
|
|
*
|
|
* @param float $nper The number of periods over which the investment is made
|
|
* @param float $pv Present Value
|
|
* @param float $fv Future Value
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function RRI($nper = 0, $pv = 0, $fv = 0)
|
|
{
|
|
$nper = Functions::flattenSingleValue($nper);
|
|
$pv = Functions::flattenSingleValue($pv);
|
|
$fv = Functions::flattenSingleValue($fv);
|
|
|
|
// Validate parameters
|
|
if (!is_numeric($nper) || !is_numeric($pv) || !is_numeric($fv)) {
|
|
return Functions::VALUE();
|
|
} elseif ($nper <= 0.0 || $pv <= 0.0 || $fv < 0.0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return ($fv / $pv) ** (1 / $nper) - 1;
|
|
}
|
|
|
|
/**
|
|
* SLN.
|
|
*
|
|
* Returns the straight-line depreciation of an asset for one period
|
|
*
|
|
* @param mixed $cost Initial cost of the asset
|
|
* @param mixed $salvage Value at the end of the depreciation
|
|
* @param mixed $life Number of periods over which the asset is depreciated
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function SLN($cost, $salvage, $life)
|
|
{
|
|
$cost = Functions::flattenSingleValue($cost);
|
|
$salvage = Functions::flattenSingleValue($salvage);
|
|
$life = Functions::flattenSingleValue($life);
|
|
|
|
// Calculate
|
|
if ((is_numeric($cost)) && (is_numeric($salvage)) && (is_numeric($life))) {
|
|
if ($life < 0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return ($cost - $salvage) / $life;
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* SYD.
|
|
*
|
|
* Returns the sum-of-years' digits depreciation of an asset for a specified period.
|
|
*
|
|
* @param mixed $cost Initial cost of the asset
|
|
* @param mixed $salvage Value at the end of the depreciation
|
|
* @param mixed $life Number of periods over which the asset is depreciated
|
|
* @param mixed $period Period
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function SYD($cost, $salvage, $life, $period)
|
|
{
|
|
$cost = Functions::flattenSingleValue($cost);
|
|
$salvage = Functions::flattenSingleValue($salvage);
|
|
$life = Functions::flattenSingleValue($life);
|
|
$period = Functions::flattenSingleValue($period);
|
|
|
|
// Calculate
|
|
if ((is_numeric($cost)) && (is_numeric($salvage)) && (is_numeric($life)) && (is_numeric($period))) {
|
|
if (($life < 1) || ($period > $life)) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return (($cost - $salvage) * ($life - $period + 1) * 2) / ($life * ($life + 1));
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* TBILLEQ.
|
|
*
|
|
* Returns the bond-equivalent yield for a Treasury bill.
|
|
*
|
|
* @param mixed $settlement The Treasury bill's settlement date.
|
|
* The Treasury bill's settlement date is the date after the issue date when the Treasury bill is traded to the buyer.
|
|
* @param mixed $maturity The Treasury bill's maturity date.
|
|
* The maturity date is the date when the Treasury bill expires.
|
|
* @param int $discount The Treasury bill's discount rate
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function TBILLEQ($settlement, $maturity, $discount)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$discount = Functions::flattenSingleValue($discount);
|
|
|
|
// Use TBILLPRICE for validation
|
|
$testValue = self::TBILLPRICE($settlement, $maturity, $discount);
|
|
if (is_string($testValue)) {
|
|
return $testValue;
|
|
}
|
|
|
|
if (is_string($maturity = DateTime::getDateValue($maturity))) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) {
|
|
++$maturity;
|
|
$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity) * 360;
|
|
} else {
|
|
$daysBetweenSettlementAndMaturity = (DateTime::getDateValue($maturity) - DateTime::getDateValue($settlement));
|
|
}
|
|
|
|
return (365 * $discount) / (360 - $discount * $daysBetweenSettlementAndMaturity);
|
|
}
|
|
|
|
/**
|
|
* TBILLPRICE.
|
|
*
|
|
* Returns the yield for a Treasury bill.
|
|
*
|
|
* @param mixed $settlement The Treasury bill's settlement date.
|
|
* The Treasury bill's settlement date is the date after the issue date when the Treasury bill is traded to the buyer.
|
|
* @param mixed $maturity The Treasury bill's maturity date.
|
|
* The maturity date is the date when the Treasury bill expires.
|
|
* @param int $discount The Treasury bill's discount rate
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function TBILLPRICE($settlement, $maturity, $discount)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$discount = Functions::flattenSingleValue($discount);
|
|
|
|
if (is_string($maturity = DateTime::getDateValue($maturity))) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
// Validate
|
|
if (is_numeric($discount)) {
|
|
if ($discount <= 0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) {
|
|
++$maturity;
|
|
$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity) * 360;
|
|
if (!is_numeric($daysBetweenSettlementAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenSettlementAndMaturity;
|
|
}
|
|
} else {
|
|
$daysBetweenSettlementAndMaturity = (DateTime::getDateValue($maturity) - DateTime::getDateValue($settlement));
|
|
}
|
|
|
|
if ($daysBetweenSettlementAndMaturity > 360) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
$price = 100 * (1 - (($discount * $daysBetweenSettlementAndMaturity) / 360));
|
|
if ($price <= 0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return $price;
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* TBILLYIELD.
|
|
*
|
|
* Returns the yield for a Treasury bill.
|
|
*
|
|
* @param mixed $settlement The Treasury bill's settlement date.
|
|
* The Treasury bill's settlement date is the date after the issue date when the Treasury bill is traded to the buyer.
|
|
* @param mixed $maturity The Treasury bill's maturity date.
|
|
* The maturity date is the date when the Treasury bill expires.
|
|
* @param int $price The Treasury bill's price per $100 face value
|
|
*
|
|
* @return float|mixed|string
|
|
*/
|
|
public static function TBILLYIELD($settlement, $maturity, $price)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$price = Functions::flattenSingleValue($price);
|
|
|
|
// Validate
|
|
if (is_numeric($price)) {
|
|
if ($price <= 0) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) {
|
|
++$maturity;
|
|
$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity) * 360;
|
|
if (!is_numeric($daysBetweenSettlementAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenSettlementAndMaturity;
|
|
}
|
|
} else {
|
|
$daysBetweenSettlementAndMaturity = (DateTime::getDateValue($maturity) - DateTime::getDateValue($settlement));
|
|
}
|
|
|
|
if ($daysBetweenSettlementAndMaturity > 360) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return ((100 - $price) / $price) * (360 / $daysBetweenSettlementAndMaturity);
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
private static function bothNegAndPos($neg, $pos)
|
|
{
|
|
return $neg && $pos;
|
|
}
|
|
|
|
private static function xirrPart2(&$values)
|
|
{
|
|
$valCount = count($values);
|
|
$foundpos = false;
|
|
$foundneg = false;
|
|
for ($i = 0; $i < $valCount; ++$i) {
|
|
$fld = $values[$i];
|
|
if (!is_numeric($fld)) {
|
|
return Functions::VALUE();
|
|
} elseif ($fld > 0) {
|
|
$foundpos = true;
|
|
} elseif ($fld < 0) {
|
|
$foundneg = true;
|
|
}
|
|
}
|
|
if (!self::bothNegAndPos($foundneg, $foundpos)) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return '';
|
|
}
|
|
|
|
private static function xirrPart1(&$values, &$dates)
|
|
{
|
|
if ((!is_array($values)) && (!is_array($dates))) {
|
|
return Functions::NA();
|
|
}
|
|
$values = Functions::flattenArray($values);
|
|
$dates = Functions::flattenArray($dates);
|
|
if (count($values) != count($dates)) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
$datesCount = count($dates);
|
|
for ($i = 0; $i < $datesCount; ++$i) {
|
|
$dates[$i] = DateTime::getDateValue($dates[$i]);
|
|
if (!is_numeric($dates[$i])) {
|
|
return Functions::VALUE();
|
|
}
|
|
}
|
|
|
|
return self::xirrPart2($values);
|
|
}
|
|
|
|
private static function xirrPart3($values, $dates, $x1, $x2)
|
|
{
|
|
$f = self::xnpvOrdered($x1, $values, $dates, false);
|
|
if ($f < 0.0) {
|
|
$rtb = $x1;
|
|
$dx = $x2 - $x1;
|
|
} else {
|
|
$rtb = $x2;
|
|
$dx = $x1 - $x2;
|
|
}
|
|
|
|
$rslt = Functions::VALUE();
|
|
for ($i = 0; $i < self::FINANCIAL_MAX_ITERATIONS; ++$i) {
|
|
$dx *= 0.5;
|
|
$x_mid = $rtb + $dx;
|
|
$f_mid = self::xnpvOrdered($x_mid, $values, $dates, false);
|
|
if ($f_mid <= 0.0) {
|
|
$rtb = $x_mid;
|
|
}
|
|
if ((abs($f_mid) < self::FINANCIAL_PRECISION) || (abs($dx) < self::FINANCIAL_PRECISION)) {
|
|
$rslt = $x_mid;
|
|
|
|
break;
|
|
}
|
|
}
|
|
|
|
return $rslt;
|
|
}
|
|
|
|
/**
|
|
* XIRR.
|
|
*
|
|
* Returns the internal rate of return for a schedule of cash flows that is not necessarily periodic.
|
|
*
|
|
* Excel Function:
|
|
* =XIRR(values,dates,guess)
|
|
*
|
|
* @param float[] $values A series of cash flow payments
|
|
* The series of values must contain at least one positive value & one negative value
|
|
* @param mixed[] $dates A series of payment dates
|
|
* The first payment date indicates the beginning of the schedule of payments
|
|
* All other dates must be later than this date, but they may occur in any order
|
|
* @param float $guess An optional guess at the expected answer
|
|
*
|
|
* @return float|mixed|string
|
|
*/
|
|
public static function XIRR($values, $dates, $guess = 0.1)
|
|
{
|
|
$rslt = self::xirrPart1($values, $dates);
|
|
if ($rslt) {
|
|
return $rslt;
|
|
}
|
|
|
|
// create an initial range, with a root somewhere between 0 and guess
|
|
$guess = Functions::flattenSingleValue($guess);
|
|
$x1 = 0.0;
|
|
$x2 = $guess ? $guess : 0.1;
|
|
$f1 = self::xnpvOrdered($x1, $values, $dates, false);
|
|
$f2 = self::xnpvOrdered($x2, $values, $dates, false);
|
|
$found = false;
|
|
for ($i = 0; $i < self::FINANCIAL_MAX_ITERATIONS; ++$i) {
|
|
if (!is_numeric($f1) || !is_numeric($f2)) {
|
|
break;
|
|
}
|
|
if (($f1 * $f2) < 0.0) {
|
|
$found = true;
|
|
|
|
break;
|
|
} elseif (abs($f1) < abs($f2)) {
|
|
$f1 = self::xnpvOrdered($x1 += 1.6 * ($x1 - $x2), $values, $dates, false);
|
|
} else {
|
|
$f2 = self::xnpvOrdered($x2 += 1.6 * ($x2 - $x1), $values, $dates, false);
|
|
}
|
|
}
|
|
if (!$found) {
|
|
return Functions::NAN();
|
|
}
|
|
|
|
return self::xirrPart3($values, $dates, $x1, $x2);
|
|
}
|
|
|
|
/**
|
|
* XNPV.
|
|
*
|
|
* Returns the net present value for a schedule of cash flows that is not necessarily periodic.
|
|
* To calculate the net present value for a series of cash flows that is periodic, use the NPV function.
|
|
*
|
|
* Excel Function:
|
|
* =XNPV(rate,values,dates)
|
|
*
|
|
* @param float $rate the discount rate to apply to the cash flows
|
|
* @param float[] $values A series of cash flows that corresponds to a schedule of payments in dates.
|
|
* The first payment is optional and corresponds to a cost or payment that occurs at the beginning of the investment.
|
|
* If the first value is a cost or payment, it must be a negative value. All succeeding payments are discounted based on a 365-day year.
|
|
* The series of values must contain at least one positive value and one negative value.
|
|
* @param mixed[] $dates A schedule of payment dates that corresponds to the cash flow payments.
|
|
* The first payment date indicates the beginning of the schedule of payments.
|
|
* All other dates must be later than this date, but they may occur in any order.
|
|
*
|
|
* @return float|mixed|string
|
|
*/
|
|
public static function XNPV($rate, $values, $dates)
|
|
{
|
|
return self::xnpvOrdered($rate, $values, $dates, true);
|
|
}
|
|
|
|
private static function validateXnpv($rate, $values, $dates)
|
|
{
|
|
if (!is_numeric($rate)) {
|
|
return Functions::VALUE();
|
|
}
|
|
$valCount = count($values);
|
|
if ($valCount != count($dates)) {
|
|
return Functions::NAN();
|
|
}
|
|
if ($valCount > 1 && ((min($values) > 0) || (max($values) < 0))) {
|
|
return Functions::NAN();
|
|
}
|
|
$date0 = DateTime::getDateValue($dates[0]);
|
|
if (is_string($date0)) {
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
return '';
|
|
}
|
|
|
|
private static function xnpvOrdered($rate, $values, $dates, $ordered = true)
|
|
{
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$values = Functions::flattenArray($values);
|
|
$dates = Functions::flattenArray($dates);
|
|
$valCount = count($values);
|
|
$date0 = DateTime::getDateValue($dates[0]);
|
|
$rslt = self::validateXnpv($rate, $values, $dates);
|
|
if ($rslt) {
|
|
return $rslt;
|
|
}
|
|
$xnpv = 0.0;
|
|
for ($i = 0; $i < $valCount; ++$i) {
|
|
if (!is_numeric($values[$i])) {
|
|
return Functions::VALUE();
|
|
}
|
|
$datei = DateTime::getDateValue($dates[$i]);
|
|
if (is_string($datei)) {
|
|
return Functions::VALUE();
|
|
}
|
|
if ($date0 > $datei) {
|
|
$dif = $ordered ? Functions::NAN() : -DateTime::DATEDIF($datei, $date0, 'd');
|
|
} else {
|
|
$dif = DateTime::DATEDIF($date0, $datei, 'd');
|
|
}
|
|
if (!is_numeric($dif)) {
|
|
return $dif;
|
|
}
|
|
$xnpv += $values[$i] / (1 + $rate) ** ($dif / 365);
|
|
}
|
|
|
|
return is_finite($xnpv) ? $xnpv : Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* YIELDDISC.
|
|
*
|
|
* Returns the annual yield of a security that pays interest at maturity.
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security's settlement date is the date after the issue date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param int $price The security's price per $100 face value
|
|
* @param int $redemption The security's redemption value per $100 face value
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
|
|
* 1 Actual/actual
|
|
* 2 Actual/360
|
|
* 3 Actual/365
|
|
* 4 European 30/360
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function YIELDDISC($settlement, $maturity, $price, $redemption, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$price = Functions::flattenSingleValue($price);
|
|
$redemption = Functions::flattenSingleValue($redemption);
|
|
$basis = (int) Functions::flattenSingleValue($basis);
|
|
|
|
// Validate
|
|
if (is_numeric($price) && is_numeric($redemption)) {
|
|
if (($price <= 0) || ($redemption <= 0)) {
|
|
return Functions::NAN();
|
|
}
|
|
$daysPerYear = self::daysPerYear(DateTime::YEAR($settlement), $basis);
|
|
if (!is_numeric($daysPerYear)) {
|
|
return $daysPerYear;
|
|
}
|
|
$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, $basis);
|
|
if (!is_numeric($daysBetweenSettlementAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenSettlementAndMaturity;
|
|
}
|
|
$daysBetweenSettlementAndMaturity *= $daysPerYear;
|
|
|
|
return (($redemption - $price) / $price) * ($daysPerYear / $daysBetweenSettlementAndMaturity);
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
|
|
/**
|
|
* YIELDMAT.
|
|
*
|
|
* Returns the annual yield of a security that pays interest at maturity.
|
|
*
|
|
* @param mixed $settlement The security's settlement date.
|
|
* The security's settlement date is the date after the issue date when the security is traded to the buyer.
|
|
* @param mixed $maturity The security's maturity date.
|
|
* The maturity date is the date when the security expires.
|
|
* @param mixed $issue The security's issue date
|
|
* @param int $rate The security's interest rate at date of issue
|
|
* @param int $price The security's price per $100 face value
|
|
* @param int $basis The type of day count to use.
|
|
* 0 or omitted US (NASD) 30/360
|
|
* 1 Actual/actual
|
|
* 2 Actual/360
|
|
* 3 Actual/365
|
|
* 4 European 30/360
|
|
*
|
|
* @return float|string Result, or a string containing an error
|
|
*/
|
|
public static function YIELDMAT($settlement, $maturity, $issue, $rate, $price, $basis = 0)
|
|
{
|
|
$settlement = Functions::flattenSingleValue($settlement);
|
|
$maturity = Functions::flattenSingleValue($maturity);
|
|
$issue = Functions::flattenSingleValue($issue);
|
|
$rate = Functions::flattenSingleValue($rate);
|
|
$price = Functions::flattenSingleValue($price);
|
|
$basis = (int) Functions::flattenSingleValue($basis);
|
|
|
|
// Validate
|
|
if (is_numeric($rate) && is_numeric($price)) {
|
|
if (($rate <= 0) || ($price <= 0)) {
|
|
return Functions::NAN();
|
|
}
|
|
$daysPerYear = self::daysPerYear(DateTime::YEAR($settlement), $basis);
|
|
if (!is_numeric($daysPerYear)) {
|
|
return $daysPerYear;
|
|
}
|
|
$daysBetweenIssueAndSettlement = DateTime::YEARFRAC($issue, $settlement, $basis);
|
|
if (!is_numeric($daysBetweenIssueAndSettlement)) {
|
|
// return date error
|
|
return $daysBetweenIssueAndSettlement;
|
|
}
|
|
$daysBetweenIssueAndSettlement *= $daysPerYear;
|
|
$daysBetweenIssueAndMaturity = DateTime::YEARFRAC($issue, $maturity, $basis);
|
|
if (!is_numeric($daysBetweenIssueAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenIssueAndMaturity;
|
|
}
|
|
$daysBetweenIssueAndMaturity *= $daysPerYear;
|
|
$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, $basis);
|
|
if (!is_numeric($daysBetweenSettlementAndMaturity)) {
|
|
// return date error
|
|
return $daysBetweenSettlementAndMaturity;
|
|
}
|
|
$daysBetweenSettlementAndMaturity *= $daysPerYear;
|
|
|
|
return ((1 + (($daysBetweenIssueAndMaturity / $daysPerYear) * $rate) - (($price / 100) + (($daysBetweenIssueAndSettlement / $daysPerYear) * $rate))) /
|
|
(($price / 100) + (($daysBetweenIssueAndSettlement / $daysPerYear) * $rate))) *
|
|
($daysPerYear / $daysBetweenSettlementAndMaturity);
|
|
}
|
|
|
|
return Functions::VALUE();
|
|
}
|
|
}
|