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447 lines
11 KiB
PHP
447 lines
11 KiB
PHP
<?php
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/**
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* Orange Management
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*
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* PHP Version 7.0
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*
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* @category TBD
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* @package TBD
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* @author OMS Development Team <dev@oms.com>
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* @author Dennis Eichhorn <d.eichhorn@oms.com>
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* @copyright 2013 Dennis Eichhorn
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* @license OMS License 1.0
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* @version 1.0.0
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* @link http://orange-management.com
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*/
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namespace phpOMS\Math\Finance;
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class FinanceFormulas
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{
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/**
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* @param \float $r Stated annual interest rate
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* @param \int $n number of times compounded
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getAnnualPercentageYield(\float $r, \int $n) : \float
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{
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return pow(1 + $r / $n, $n) - 1;
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}
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/**
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* @param \float $apy Annual percentage yield
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* @param \int $n Number of times compounded
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getStateAnnualInterestRateOfAPY(\float $apy, \int $n) : \float
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{
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return (pow($apy + 1, 1 / $n) - 1) * $n;
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}
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/**
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* @param \float $apy Annual percentage yield
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* @param \float $r Stated annual interest rate
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getNumberOfCompoundsOfAPY(\float $apy, \float $r) : \float
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{
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return 0.0;
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}
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/**
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* @param \float $P Periodic payment
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* @param \float $r Stated annual interest rate
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getFutureValueOfAnnuity(\float $P, \float $r, \int $n) : \float
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{
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return $P * (pow(1 + $r, $n) - 1) / $r;
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}
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/**
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* @param \float $fva Future value annuity
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* @param \float $P Periodic payment
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* @param \float $r Stated annual interest rate
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*
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* @return \int
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getNumberOfPeriodsOfFVA(\float $fva, \float $P, \float $r) : \int
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{
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return (int) round(log($fva / $P * $r + 1) / log(1 + $r));
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}
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/**
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* @param \float $fva Future value annuity
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* @param \float $r Stated annual interest rate
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getPeriodicPaymentOfFVA(\float $fva, \float $r, \int $n) : \float
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{
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return $fva / ((pow(1 + $r, $n) - 1) / $r);
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}
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/**
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* @param \float $fva Future value annuity
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* @param \float $P Periodic payment
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getRateOfFVA(\float $fva, \float $P, \int $n) : \float
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{
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return 0.0;
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}
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/**
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* @param \float $cf Cach flow
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* @param \float $r Rate
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* @param \int $t Time
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getFutureValueOfAnnuityConinuousCompounding(\float $cf, \float $r, \int $t) : \float
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{
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return $cf * (exp($r * $t) - 1) / (exp($r) - 1);
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}
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/**
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* @param \float $fvacc Future value annuity continuous compoinding
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* @param \float $r Rate
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* @param \int $t Time
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getCashFlowOfFVACC(\float $fvacc, \float $r, \int $t) : \float
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{
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return $fvacc / ((exp($r * $t) - 1) / (exp($r) - 1));
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}
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/**
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* @param \float $fvacc Future value annuity continuous compoinding
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* @param \float $cf Cach flow
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* @param \int $t Time
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getRateOfFVACC(\float $fvacc, \float $cf, \int $t) : \float
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{
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return 0.0;
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}
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/**
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* @param \float $fvacc Future value annuity continuous compoinding
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* @param \float $cf Cach flow
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* @param \float $r Rate
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*
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* @return \int
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getTimeOfFVACC(\float $fvacc, \float $cf, \float $r) : \int
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{
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return (int) round(log($fvacc / $cf * (exp($r) - 1) + 1) / $r);
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}
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/**
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* @param \float $pv Present value
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* @param \float $r Rate per period
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getAnnuityPaymentPV(\float $pv, \float $r, \int $n) : \float
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{
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return $r * $pv / (1 - pow(1 + $r, -$n));
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}
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/**
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* @param \float $p Payment
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* @param \float $pv Present value
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* @param \float $r Rate per period
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*
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* @return \int
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getNumberOfAPPV(\float $p, \float $pv, \float $r) : \int
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{
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return (int) round(-log(-($r * $pv / $p - 1)) / log(1 + $r));
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}
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/**
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* @param \float $p Payment
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* @param \float $pv Present value
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getRatePerPeriodOfAPPV(\float $p, \float $pv, \int $n) : \float
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{
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return 0.0;
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}
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/**
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* @param \float $p Payment
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* @param \float $r Rate per period
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getPresentValueOfAPPV(\float $p, \float $r, \int $n) : \float
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{
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return $p / $r * (1 - pow(1 + $r, -$n));
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}
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/**
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* @param \float $fv Present value
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* @param \float $r Rate per period
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getAnnuityPaymentFV(\float $fv, \float $r, \int $n) : \float
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{
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return $r * $fv / (pow(1 + $r, $n) - 1);
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}
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/**
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* @param \float $p Payment
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* @param \float $fv Present value
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* @param \float $r Rate per period
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*
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* @return \int
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getNumberOfAPFV(\float $p, \float $fv, \float $r) : \int
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{
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return (int) round(log($fv * $r / $p + 1) / log(1 + $r));
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}
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/**
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* @param \float $p Payment
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* @param \float $fv Present value
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* @param \int $n Rate per period
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getRatePerPeriodOfAPFV(\float $p, \float $fv, \int $n) : \float
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{
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return 0.0;
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}
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/**
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* @param \float $p Payment
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* @param \float $r Present value
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* @param \int $n Rate per period
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getFutureValueOfAPFV(\float $p, \float $r, \int $n) : \float
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{
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return $p / $r * (pow(1 + $r, $n) - 1);
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}
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/**
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* @param \float $r Rate per period
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getAnnutiyPaymentFactorPV(\float $r, \int $n) : \float
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{
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return $r / (1 - pow(1 + $r, -$n));
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}
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/**
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* @param \float $p Payment factor
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getRatePfAPFPV(\float $p, \int $n) : \float
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{
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return 0.0;
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}
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/**
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* @param \float $p Payment factor
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* @param \float $r Rate per period
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*
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* @return \int
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getNumberOfAPFPV(\float $p, \float $r) : \int
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{
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return (int) round(-log(-($r / $p - 1)) / log(1 + $r));
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}
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/**
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* @param \float $P Periodic payment
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* @param \float $r Stated annual interest rate
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getPresentValueOfAnnuity(\float $P, \float $r, \int $n) : \float
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{
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return $P * (1 - pow(1 + $r, -$n)) / $r;
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}
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/**
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* @param \float $pva Future value annuity
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* @param \float $P Periodic payment
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* @param \float $r Stated annual interest rate
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*
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* @return \int
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getNumberOfPeriodsOfPVA(\float $pva, \float $P, \float $r) : \int
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{
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return (int) round(-log(-($pva / $P * $r - 1)) / log(1 + $r));
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}
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/**
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* @param \float $pva Future value annuity
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* @param \float $r Stated annual interest rate
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getPeriodicPaymentOfPVA(\float $pva, \float $r, \int $n) : \float
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{
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return $pva / ((1 - pow(1 + $r, -$n)) / $r);
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}
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/**
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* @param \float $pva Future value annuity
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* @param \float $P Periodic payment
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getRateOfPVA(\float $pva, \float $P, \int $n) : \float
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{
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return 0.0;
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}
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/**
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* @param \float $r Rate per period
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getPresentValueAnnuityFactor(\float $r, \int $n) : \float
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{
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return (1 - pow(1 + $r, -$n)) / $r;
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}
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/**
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* @param \float $p Payment factor
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* @param \int $n Number of periods
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*
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* @return \float
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getRateOfPVAF(\float $p, \int $n) : \float
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{
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return 0.0;
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}
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/**
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* @param \float $p Payment factor
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* @param \float $r Number of periods
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*
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* @return \int
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*
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* @since 1.0.0
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* @author Dennis Eichhorn
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*/
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public static function getPeriodsOfPVAF(\float $p, \float $r) : \int
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{
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return (int) round(-log(-($p * $r - 1)) / log(1 + $r));
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}
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}
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