First pass at extracting Financial Price functions for Securities (#1942)
* Extracting Financial Price functions for Securities - PRICE(), PRICEMAT(), PRICEDISC() * Additional unit tests for PRICEDISC() invalid arguments * Additional unit tests for PRICEMAT() invalid arguments * Add docblock for PRICE() * Clarification on validation checks for <= 0 and < 0
This commit is contained in:
Mark Baker
GitHub
parent
d346318c2b
commit
b87d78b206
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@ -1983,17 +1983,17 @@ class Calculation
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],
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'PRICE' => [
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'category' => Category::CATEGORY_FINANCIAL,
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'functionCall' => [Financial::class, 'PRICE'],
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'functionCall' => [Financial\Securities::class, 'price'],
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'argumentCount' => '6,7',
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],
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'PRICEDISC' => [
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'category' => Category::CATEGORY_FINANCIAL,
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'functionCall' => [Financial::class, 'PRICEDISC'],
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'functionCall' => [Financial\Securities::class, 'discounted'],
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'argumentCount' => '4,5',
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],
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'PRICEMAT' => [
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'category' => Category::CATEGORY_FINANCIAL,
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'functionCall' => [Financial::class, 'PRICEMAT'],
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'functionCall' => [Financial\Securities::class, 'maturity'],
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'argumentCount' => '5,6',
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],
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'PROB' => [
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@ -11,15 +11,6 @@ class Financial
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const FINANCIAL_PRECISION = 1.0e-08;
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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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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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@ -1370,79 +1361,39 @@ class Financial
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return $interestAndPrincipal[1];
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}
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private static function validatePrice($settlement, $maturity, $rate, $yield, $redemption, $frequency, $basis)
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{
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if (is_string($settlement)) {
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return Functions::VALUE();
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}
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if (is_string($maturity)) {
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return Functions::VALUE();
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}
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if (!is_numeric($rate)) {
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return Functions::VALUE();
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}
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if (!is_numeric($yield)) {
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return Functions::VALUE();
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}
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if (!is_numeric($redemption)) {
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return Functions::VALUE();
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}
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if (!is_numeric($frequency)) {
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return Functions::VALUE();
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}
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if (!is_numeric($basis)) {
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return Functions::VALUE();
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}
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return '';
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}
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/**
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* PRICE.
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*
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* Returns the price per $100 face value of a security that pays periodic interest.
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*
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* @Deprecated 1.18.0
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*
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* @see Use the price() method in the Financial\Securities class instead
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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 date when the security
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* 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 float $rate the security's annual coupon rate
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* @param float $yield the security's annual yield
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* @param float $redemption The number of coupon payments per year.
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* For annual payments, frequency = 1;
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* for semiannual, frequency = 2;
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* for quarterly, frequency = 4.
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* @param int $frequency
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* @param int $basis The type of day count to use.
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* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
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* @return float|string Result, or a string containing an error
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*/
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public static function PRICE($settlement, $maturity, $rate, $yield, $redemption, $frequency, $basis = 0)
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{
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$settlement = Functions::flattenSingleValue($settlement);
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$maturity = Functions::flattenSingleValue($maturity);
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$rate = Functions::flattenSingleValue($rate);
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$yield = Functions::flattenSingleValue($yield);
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$redemption = Functions::flattenSingleValue($redemption);
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$frequency = Functions::flattenSingleValue($frequency);
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$basis = Functions::flattenSingleValue($basis);
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$settlement = DateTime::getDateValue($settlement);
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$maturity = DateTime::getDateValue($maturity);
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$rslt = self::validatePrice($settlement, $maturity, $rate, $yield, $redemption, $frequency, $basis);
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if ($rslt) {
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return $rslt;
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}
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$rate = (float) $rate;
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$yield = (float) $yield;
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$redemption = (float) $redemption;
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$frequency = (int) $frequency;
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$basis = (int) $basis;
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if (
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($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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$dsc = self::COUPDAYSNC($settlement, $maturity, $frequency, $basis);
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$e = self::COUPDAYS($settlement, $maturity, $frequency, $basis);
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$n = self::COUPNUM($settlement, $maturity, $frequency, $basis);
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$a = self::COUPDAYBS($settlement, $maturity, $frequency, $basis);
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$baseYF = 1.0 + ($yield / $frequency);
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$rfp = 100 * ($rate / $frequency);
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$de = $dsc / $e;
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$result = $redemption / $baseYF ** (--$n + $de);
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for ($k = 0; $k <= $n; ++$k) {
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$result += $rfp / ($baseYF ** ($k + $de));
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}
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$result -= $rfp * ($a / $e);
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return $result;
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return Financial\Securities::price($settlement, $maturity, $rate, $yield, $redemption, $frequency, $basis);
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}
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/**
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@ -1450,6 +1401,10 @@ class Financial
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*
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* Returns the price per $100 face value of a discounted security.
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*
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* @Deprecated 1.18.0
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*
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* @see Use the discounted() method in the Financial\Securities class instead
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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 date when the security is traded to the buyer.
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* @param mixed $maturity The security's maturity date.
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@ -1467,27 +1422,7 @@ class Financial
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*/
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public static function PRICEDISC($settlement, $maturity, $discount, $redemption, $basis = 0)
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{
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$settlement = Functions::flattenSingleValue($settlement);
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$maturity = Functions::flattenSingleValue($maturity);
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$discount = (float) Functions::flattenSingleValue($discount);
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$redemption = (float) Functions::flattenSingleValue($redemption);
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$basis = (int) Functions::flattenSingleValue($basis);
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// Validate
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if ((is_numeric($discount)) && (is_numeric($redemption)) && (is_numeric($basis))) {
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if (($discount <= 0) || ($redemption <= 0)) {
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return Functions::NAN();
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}
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$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, $basis);
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if (!is_numeric($daysBetweenSettlementAndMaturity)) {
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// return date error
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return $daysBetweenSettlementAndMaturity;
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}
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return $redemption * (1 - $discount * $daysBetweenSettlementAndMaturity);
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}
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return Functions::VALUE();
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return Financial\Securities::discounted($settlement, $maturity, $discount, $redemption, $basis);
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}
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/**
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@ -1495,6 +1430,10 @@ class Financial
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*
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* Returns the price per $100 face value of a security that pays interest at maturity.
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*
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* @Deprecated 1.18.0
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*
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* @see Use the maturity() method in the Financial\Securities class instead
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*
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* @param mixed $settlement The security's settlement date.
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* The security's settlement date is the date after the issue date when the security is traded to the buyer.
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* @param mixed $maturity The security's maturity date.
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@ -1513,47 +1452,7 @@ class Financial
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*/
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public static function PRICEMAT($settlement, $maturity, $issue, $rate, $yield, $basis = 0)
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{
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$settlement = Functions::flattenSingleValue($settlement);
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$maturity = Functions::flattenSingleValue($maturity);
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$issue = Functions::flattenSingleValue($issue);
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$rate = Functions::flattenSingleValue($rate);
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$yield = Functions::flattenSingleValue($yield);
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$basis = (int) Functions::flattenSingleValue($basis);
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// Validate
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if (is_numeric($rate) && is_numeric($yield)) {
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if (($rate <= 0) || ($yield <= 0)) {
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return Functions::NAN();
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}
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$daysPerYear = Financial\Helpers::daysPerYear(DateTime::YEAR($settlement), $basis);
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if (!is_numeric($daysPerYear)) {
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return $daysPerYear;
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}
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$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 $daysBetweenIssueAndSettlement;
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}
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$daysBetweenIssueAndSettlement *= $daysPerYear;
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$daysBetweenIssueAndMaturity = DateTime::YEARFRAC($issue, $maturity, $basis);
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if (!is_numeric($daysBetweenIssueAndMaturity)) {
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// return date error
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return $daysBetweenIssueAndMaturity;
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}
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$daysBetweenIssueAndMaturity *= $daysPerYear;
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$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, $basis);
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if (!is_numeric($daysBetweenSettlementAndMaturity)) {
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// return date error
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return $daysBetweenSettlementAndMaturity;
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}
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$daysBetweenSettlementAndMaturity *= $daysPerYear;
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return (100 + (($daysBetweenIssueAndMaturity / $daysPerYear) * $rate * 100)) /
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(1 + (($daysBetweenSettlementAndMaturity / $daysPerYear) * $yield)) -
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(($daysBetweenIssueAndSettlement / $daysPerYear) * $rate * 100);
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}
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return Functions::VALUE();
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return Financial\Securities::maturity($settlement, $maturity, $issue, $rate, $yield, $basis);
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}
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/**
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@ -419,7 +419,7 @@ class Coupons
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return $frequency;
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}
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private static function validateBasis($basis)
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private static function validateBasis($basis): int
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{
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if (!is_numeric($basis)) {
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throw new Exception(Functions::NAN());
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@ -0,0 +1,321 @@
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<?php
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namespace PhpOffice\PhpSpreadsheet\Calculation\Financial;
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use PhpOffice\PhpSpreadsheet\Calculation\DateTime;
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use PhpOffice\PhpSpreadsheet\Calculation\Exception;
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use PhpOffice\PhpSpreadsheet\Calculation\Functions;
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class Securities
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{
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public const FREQUENCY_ANNUAL = 1;
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public const FREQUENCY_SEMI_ANNUAL = 2;
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public const FREQUENCY_QUARTERLY = 4;
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/**
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* PRICE.
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*
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* Returns the price per $100 face value of a security that pays periodic interest.
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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 date when the security
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* 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 float $rate the security's annual coupon rate
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* @param float $yield the security's annual yield
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* @param float $redemption The number of coupon payments per year.
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* For annual payments, frequency = 1;
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* for semiannual, frequency = 2;
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* for quarterly, frequency = 4.
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* @param int $frequency
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* @param int $basis The type of day count to use.
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* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
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* @return float|string Result, or a string containing an error
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*/
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public static function price($settlement, $maturity, $rate, $yield, $redemption, $frequency, $basis = 0)
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{
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$settlement = Functions::flattenSingleValue($settlement);
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$maturity = Functions::flattenSingleValue($maturity);
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$rate = Functions::flattenSingleValue($rate);
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$yield = Functions::flattenSingleValue($yield);
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$redemption = Functions::flattenSingleValue($redemption);
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$frequency = Functions::flattenSingleValue($frequency);
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$basis = Functions::flattenSingleValue($basis);
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try {
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$settlement = self::validateSettlementDate($settlement);
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$maturity = self::validateMaturityDate($maturity);
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self::validateSecurityPeriod($settlement, $maturity);
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$rate = self::validateRate($rate);
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$yield = self::validateYield($yield);
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$redemption = self::validateRedemption($redemption);
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$frequency = self::validateFrequency($frequency);
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$basis = self::validateBasis($basis);
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} catch (Exception $e) {
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return $e->getMessage();
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}
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$dsc = Coupons::COUPDAYSNC($settlement, $maturity, $frequency, $basis);
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$e = Coupons::COUPDAYS($settlement, $maturity, $frequency, $basis);
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$n = Coupons::COUPNUM($settlement, $maturity, $frequency, $basis);
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$a = Coupons::COUPDAYBS($settlement, $maturity, $frequency, $basis);
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$baseYF = 1.0 + ($yield / $frequency);
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$rfp = 100 * ($rate / $frequency);
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$de = $dsc / $e;
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$result = $redemption / $baseYF ** (--$n + $de);
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for ($k = 0; $k <= $n; ++$k) {
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$result += $rfp / ($baseYF ** ($k + $de));
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}
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$result -= $rfp * ($a / $e);
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return $result;
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}
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/**
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* PRICEDISC.
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*
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* Returns the price per $100 face value of a discounted security.
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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 date when the security
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* 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 float $discount The security's discount rate
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* @param float $redemption The security's redemption value per $100 face value
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* @param int $basis The type of day count to use.
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* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
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* @return float|string Result, or a string containing an error
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*/
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public static function discounted($settlement, $maturity, $discount, $redemption, $basis = 0)
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{
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$settlement = Functions::flattenSingleValue($settlement);
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$maturity = Functions::flattenSingleValue($maturity);
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$discount = Functions::flattenSingleValue($discount);
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$redemption = Functions::flattenSingleValue($redemption);
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$basis = Functions::flattenSingleValue($basis);
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try {
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$settlement = self::validateSettlementDate($settlement);
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$maturity = self::validateMaturityDate($maturity);
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self::validateSecurityPeriod($settlement, $maturity);
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$discount = self::validateDiscount($discount);
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$redemption = self::validateRedemption($redemption);
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$basis = self::validateBasis($basis);
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} catch (Exception $e) {
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return $e->getMessage();
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}
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$daysBetweenSettlementAndMaturity = DateTime::YEARFRAC($settlement, $maturity, $basis);
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if (!is_numeric($daysBetweenSettlementAndMaturity)) {
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// return date error
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return $daysBetweenSettlementAndMaturity;
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}
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return $redemption * (1 - $discount * $daysBetweenSettlementAndMaturity);
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}
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/**
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* PRICEMAT.
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*
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* Returns the price per $100 face value of a security that pays interest at maturity.
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*
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* @param mixed $settlement The security's settlement date.
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* The security's settlement date is the date after the issue date when the
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* 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 $issue The security's issue date
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* @param float $rate The security's interest rate at date of issue
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* @param float $yield The security's annual yield
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* @param int $basis The type of day count to use.
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* 0 or omitted US (NASD) 30/360
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* 1 Actual/actual
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* 2 Actual/360
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* 3 Actual/365
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* 4 European 30/360
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*
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* @return float|string Result, or a string containing an error
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*/
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public static function maturity($settlement, $maturity, $issue, $rate, $yield, $basis = 0)
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{
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$settlement = Functions::flattenSingleValue($settlement);
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$maturity = Functions::flattenSingleValue($maturity);
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$issue = Functions::flattenSingleValue($issue);
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$rate = Functions::flattenSingleValue($rate);
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$yield = Functions::flattenSingleValue($yield);
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$basis = Functions::flattenSingleValue($basis);
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try {
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$settlement = self::validateSettlementDate($settlement);
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$maturity = self::validateMaturityDate($maturity);
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self::validateSecurityPeriod($settlement, $maturity);
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$issue = self::validateIssueDate($issue);
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$rate = self::validateRate($rate);
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$yield = self::validateYield($yield);
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$basis = self::validateBasis($basis);
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} catch (Exception $e) {
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return $e->getMessage();
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}
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$daysPerYear = Helpers::daysPerYear(DateTime::YEAR($settlement), $basis);
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if (!is_numeric($daysPerYear)) {
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return $daysPerYear;
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}
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$daysBetweenIssueAndSettlement = DateTime::YEARFRAC($issue, $settlement, $basis);
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if (!is_numeric($daysBetweenIssueAndSettlement)) {
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// return date error
|
||||
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) * $rate * 100);
|
||||
}
|
||||
|
||||
private static function validateInputDate($date)
|
||||
{
|
||||
$date = DateTime::getDateValue($date);
|
||||
if (is_string($date)) {
|
||||
throw new Exception(Functions::VALUE());
|
||||
}
|
||||
|
||||
return $date;
|
||||
}
|
||||
|
||||
private static function validateSettlementDate($settlement)
|
||||
{
|
||||
return self::validateInputDate($settlement);
|
||||
}
|
||||
|
||||
private static function validateMaturityDate($maturity)
|
||||
{
|
||||
return self::validateInputDate($maturity);
|
||||
}
|
||||
|
||||
private static function validateIssueDate($issue)
|
||||
{
|
||||
return self::validateInputDate($issue);
|
||||
}
|
||||
|
||||
private static function validateSecurityPeriod($settlement, $maturity): void
|
||||
{
|
||||
if ($settlement >= $maturity) {
|
||||
throw new Exception(Functions::NAN());
|
||||
}
|
||||
}
|
||||
|
||||
private static function validateRate($rate): float
|
||||
{
|
||||
if (!is_numeric($rate)) {
|
||||
throw new Exception(Functions::VALUE());
|
||||
}
|
||||
|
||||
$rate = (float) $rate;
|
||||
if ($rate < 0.0) {
|
||||
throw new Exception(Functions::NAN());
|
||||
}
|
||||
|
||||
return $rate;
|
||||
}
|
||||
|
||||
private static function validateYield($yield): float
|
||||
{
|
||||
if (!is_numeric($yield)) {
|
||||
throw new Exception(Functions::VALUE());
|
||||
}
|
||||
|
||||
$yield = (float) $yield;
|
||||
if ($yield < 0.0) {
|
||||
throw new Exception(Functions::NAN());
|
||||
}
|
||||
|
||||
return $yield;
|
||||
}
|
||||
|
||||
private static function validateRedemption($redemption): float
|
||||
{
|
||||
if (!is_numeric($redemption)) {
|
||||
throw new Exception(Functions::VALUE());
|
||||
}
|
||||
|
||||
$redemption = (float) $redemption;
|
||||
if ($redemption <= 0.0) {
|
||||
throw new Exception(Functions::NAN());
|
||||
}
|
||||
|
||||
return $redemption;
|
||||
}
|
||||
|
||||
private static function validateDiscount($discount): float
|
||||
{
|
||||
if (!is_numeric($discount)) {
|
||||
throw new Exception(Functions::VALUE());
|
||||
}
|
||||
|
||||
$discount = (float) $discount;
|
||||
if ($discount <= 0.0) {
|
||||
throw new Exception(Functions::NAN());
|
||||
}
|
||||
|
||||
return $discount;
|
||||
}
|
||||
|
||||
private static function validateFrequency($frequency): int
|
||||
{
|
||||
if (!is_numeric($frequency)) {
|
||||
throw new Exception(Functions::VALUE());
|
||||
}
|
||||
|
||||
$frequency = (int) $frequency;
|
||||
if (
|
||||
($frequency !== self::FREQUENCY_ANNUAL) &&
|
||||
($frequency !== self::FREQUENCY_SEMI_ANNUAL) &&
|
||||
($frequency !== self::FREQUENCY_QUARTERLY)
|
||||
) {
|
||||
throw new Exception(Functions::NAN());
|
||||
}
|
||||
|
||||
return $frequency;
|
||||
}
|
||||
|
||||
private static function validateBasis($basis): int
|
||||
{
|
||||
if (!is_numeric($basis)) {
|
||||
throw new Exception(Functions::VALUE());
|
||||
}
|
||||
|
||||
$basis = (int) $basis;
|
||||
if (($basis < 0) || ($basis > 4)) {
|
||||
throw new Exception(Functions::NAN());
|
||||
}
|
||||
|
||||
return $basis;
|
||||
}
|
||||
}
|
||||
|
|
@ -9,4 +9,36 @@ return [
|
|||
97.6311475409836,
|
||||
['2008-02-15', '2008-11-30', 0.03, 100, 1],
|
||||
],
|
||||
[
|
||||
'#VALUE!',
|
||||
['Invalid Date', '2008-11-30', 0.03, 100, 1],
|
||||
],
|
||||
[
|
||||
'#VALUE!',
|
||||
['2008-02-15', 'Invalid Date', 0.03, 100, 1],
|
||||
],
|
||||
[
|
||||
'#VALUE!',
|
||||
['2008-02-15', '2008-11-30', 'NaN', 100, 1],
|
||||
],
|
||||
[
|
||||
'#NUM!',
|
||||
['2008-02-15', '2008-11-30', -0.03, 100, 1],
|
||||
],
|
||||
[
|
||||
'#VALUE!',
|
||||
['2008-02-15', '2008-11-30', 0.03, 'NaN', 1],
|
||||
],
|
||||
[
|
||||
'#NUM!',
|
||||
['2008-02-15', '2008-11-30', 0.03, -100, 1],
|
||||
],
|
||||
[
|
||||
'#VALUE!',
|
||||
['2008-02-15', '2008-11-30', 0.03, 100, 'NaN'],
|
||||
],
|
||||
[
|
||||
'#NUM!',
|
||||
['2008-02-15', '2008-11-30', 0.03, 100, -1],
|
||||
],
|
||||
];
|
||||
|
|
|
|||
|
|
@ -13,4 +13,32 @@ return [
|
|||
93.0909090909091,
|
||||
'1-Jul-2017', '1-Jan-2027', '1-Jan-2017', 0.07, 0.08,
|
||||
],
|
||||
[
|
||||
'#VALUE!',
|
||||
'Invalid Date', '1-Jan-2027', '1-Jan-2017', 0.07, 0.08,
|
||||
],
|
||||
[
|
||||
'#VALUE!',
|
||||
'1-Jul-2017', 'Invalid Date', '1-Jan-2017', 0.07, 0.08,
|
||||
],
|
||||
[
|
||||
'#VALUE!',
|
||||
'1-Jul-2017', '1-Jan-2027', 'Invalid Date', 0.07, 0.08,
|
||||
],
|
||||
[
|
||||
'#VALUE!',
|
||||
'1-Jul-2017', '1-Jan-2027', '1-Jan-2017', 'NaN', 0.08,
|
||||
],
|
||||
[
|
||||
'#NUM!',
|
||||
'1-Jul-2017', '1-Jan-2027', '1-Jan-2017', -0.07, 0.08,
|
||||
],
|
||||
[
|
||||
'#VALUE!',
|
||||
'1-Jul-2017', '1-Jan-2027', '1-Jan-2017', 0.07, 'NaN',
|
||||
],
|
||||
[
|
||||
'#NUM!',
|
||||
'1-Jul-2017', '1-Jan-2027', '1-Jan-2017', 0.07, -0.08,
|
||||
],
|
||||
];
|
||||
|
|
|
|||
Loading…
Reference in New Issue