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<?php |
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namespace FinanCalc\Calculators { |
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use DateTime; |
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use Exception; |
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use FinanCalc\Constants\AnnuityPaymentTypes; |
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use FinanCalc\Constants\AnnuityValueTypes; |
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use FinanCalc\Interfaces\Calculator\CalculatorAbstract; |
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use FinanCalc\Utils\Helpers; |
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use FinanCalc\Utils\Lambdas; |
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use FinanCalc\Utils\MathFuncs; |
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use FinanCalc\Utils\Time\TimeSpan; |
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use FinanCalc\Utils\Time\TimeUtils; |
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/** |
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* Class AnnuityCalculator |
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* @package FinanCalc\Calculators |
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*/ |
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class AnnuityCalculator extends CalculatorAbstract |
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{ |
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// amount of each individual payment = 'K' |
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protected $annuitySinglePaymentAmount; |
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// number of periods pertaining to the interest compounding = 'n' |
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// if 'n = 0', the annuity is considered a perpetuity |
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protected $annuityNoOfCompoundingPeriods; |
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// length of a single period as a FinanCalc\Utils\Time\TimeSpan object |
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/** @var TimeSpan */ |
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protected $annuityPeriodLength; |
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// the interest rate by which the unpaid balance is multiplied (i.e., a decimal number) = 'i' |
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protected $annuityInterest; |
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// props returned by the getResultAsArray method by default |
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protected $propResultArray = [ |
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"annuitySinglePaymentAmount", |
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"annuityNoOfCompoundingPeriods", |
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"annuityInterest", |
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"annuityPeriodLength" => |
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[ |
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"years" => "annuityPeriodLengthInYears", |
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"months" => "annuityPeriodLengthInMonths", |
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"days" => "annuityPeriodLengthInDays" |
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], |
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"annuityPresentValue" => |
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[ |
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"in_advance" => "annuityPresentValueInAdvance", |
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"in_arrears" => "annuityPresentValueInArrears" |
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], |
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"annuityFutureValue" => |
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[ |
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"in_advance" => "annuityFutureValueInAdvance", |
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"in_arrears" => "annuityFutureValueInArrears" |
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], |
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]; |
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/** |
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* @param $annuitySinglePaymentAmount |
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* @param $annuityNoOfCompoundingPeriods |
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* @param $annuityPeriodLength |
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* @param $annuityInterest |
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*/ |
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public function __construct( |
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$annuitySinglePaymentAmount, |
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$annuityNoOfCompoundingPeriods, |
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TimeSpan $annuityPeriodLength, |
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$annuityInterest |
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) { |
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$this->setAnnuitySinglePaymentAmount($annuitySinglePaymentAmount); |
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$this->setAnnuityNoOfCompoundingPeriods($annuityNoOfCompoundingPeriods); |
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$this->setAnnuityPeriodLength($annuityPeriodLength); |
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$this->setAnnuityInterest($annuityInterest); |
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} |
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/** |
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* @param $annuitySinglePaymentAmount |
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*/ |
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public function setAnnuitySinglePaymentAmount($annuitySinglePaymentAmount) |
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{ |
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$this->setProperty("annuitySinglePaymentAmount", $annuitySinglePaymentAmount, Lambdas::checkIfPositive()); |
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} |
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/** |
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* @param $annuityNoOfCompoundingPeriods |
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*/ |
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public function setAnnuityNoOfCompoundingPeriods($annuityNoOfCompoundingPeriods) |
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{ |
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$this->setProperty("annuityNoOfCompoundingPeriods", $annuityNoOfCompoundingPeriods, |
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Lambdas::checkIfNotNegative()); |
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if ($this->annuityPeriodLength !== null) { |
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$this->setAnnuityPeriodLength($this->annuityPeriodLength); |
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} |
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} |
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/** |
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* @param $annuityPeriodLength |
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*/ |
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public function setAnnuityPeriodLength(TimeSpan $annuityPeriodLength) |
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{ |
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if (Helpers::checkIfNotNegativeNumberOrThrowAnException((string)$annuityPeriodLength)) { |
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if (Helpers::checkIfZero($this->annuityNoOfCompoundingPeriods)) { |
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$annuityPeriodLength = TimeSpan::asDuration(0); |
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} |
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$this->setProperty("annuityPeriodLength", $annuityPeriodLength); |
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} |
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} |
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/** |
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* @param $annuityInterest |
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*/ |
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public function setAnnuityInterest($annuityInterest) |
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{ |
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$this->setProperty("annuityInterest", $annuityInterest, Lambdas::checkIfPositive()); |
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} |
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/** |
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* @return mixed |
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*/ |
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public function getAnnuitySinglePaymentAmount() |
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{ |
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return $this->annuitySinglePaymentAmount; |
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} |
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/** |
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* @return mixed |
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*/ |
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public function getAnnuityNoOfCompoundingPeriods() |
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{ |
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return $this->annuityNoOfCompoundingPeriods; |
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} |
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/** |
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* @return TimeSpan |
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*/ |
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public function getAnnuityPeriodLength() |
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{ |
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return $this->annuityPeriodLength; |
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} |
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/** |
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* @return string |
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*/ |
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public function getAnnuityPeriodLengthInYears() |
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{ |
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return $this->annuityPeriodLength->toYears(); |
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} |
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/** |
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* @return string |
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*/ |
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public function getAnnuityPeriodLengthInMonths() |
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{ |
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return $this->annuityPeriodLength->toMonths(); |
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} |
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/** |
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* @return string |
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*/ |
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public function getAnnuityPeriodLengthInDays() |
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{ |
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return $this->annuityPeriodLength->toDays(); |
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} |
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/** |
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* @return mixed |
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*/ |
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public function getAnnuityInterest() |
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{ |
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return $this->annuityInterest; |
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} |
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/** |
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* @return string |
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* @throws Exception |
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*/ |
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public function getAnnuityLengthInYears() |
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{ |
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return MathFuncs::div( |
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$this->getAnnuityLengthInDays(), |
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TimeUtils::getCurrentDayCountConvention()['days_in_a_year'] |
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); |
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} |
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/** |
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* @return string |
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* @throws Exception |
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*/ |
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public function getAnnuityLengthInMonths() |
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{ |
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return MathFuncs::div( |
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$this->getAnnuityLengthInDays(), |
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TimeUtils::getCurrentDayCountConvention()['days_in_a_month'] |
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); |
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} |
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/** |
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* @return string |
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*/ |
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public function getAnnuityLengthInDays() |
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{ |
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return MathFuncs::mul( |
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$this->annuityNoOfCompoundingPeriods, |
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$this->annuityPeriodLength->toDays() |
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); |
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} |
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/** |
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* @param DateTime $startDate |
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* @return DateTime |
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*/ |
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public function getAnnuityEndDate(DateTime $startDate) |
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{ |
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return TimeSpan |
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::asDurationWithStartDate($startDate, 0, 0, (int)$this->getAnnuityLengthInDays()) |
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->getEndDate(); |
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} |
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/** |
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* @param AnnuityPaymentTypes $annuityType |
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* @return null|string |
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*/ |
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public function getAnnuityPresentValue(AnnuityPaymentTypes $annuityType = null) |
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{ |
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return $this |
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->getAnnuityValue( |
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$annuityType, |
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new AnnuityValueTypes(AnnuityValueTypes::PRESENT_VALUE) |
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); |
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} |
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/** |
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* @return null|string |
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*/ |
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public function getAnnuityPresentValueInAdvance() |
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{ |
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return $this |
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->getAnnuityPresentValue( |
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new AnnuityPaymentTypes(AnnuityPaymentTypes::IN_ADVANCE) |
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); |
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} |
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/** |
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* @return null|string |
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*/ |
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public function getAnnuityPresentValueInArrears() |
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{ |
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return $this |
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->getAnnuityPresentValue( |
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new AnnuityPaymentTypes(AnnuityPaymentTypes::IN_ARREARS) |
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); |
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} |
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/** |
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* @param AnnuityPaymentTypes $annuityType |
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* @return null|string |
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*/ |
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public function getAnnuityFutureValue(AnnuityPaymentTypes $annuityType = null) |
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{ |
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return $this |
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->getAnnuityValue( |
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$annuityType, |
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new AnnuityValueTypes(AnnuityValueTypes::FUTURE_VALUE) |
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); |
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} |
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/** |
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* @return null|string |
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*/ |
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public function getAnnuityFutureValueInAdvance() |
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{ |
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return $this |
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->getAnnuityFutureValue( |
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new AnnuityPaymentTypes(AnnuityPaymentTypes::IN_ADVANCE) |
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); |
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} |
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/** |
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* @return null|string |
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*/ |
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public function getAnnuityFutureValueInArrears() |
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{ |
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return $this->getAnnuityFutureValue( |
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new AnnuityPaymentTypes(AnnuityPaymentTypes::IN_ARREARS) |
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); |
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} |
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/** |
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* @param AnnuityPaymentTypes $annuityPaymentType |
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* @param AnnuityValueTypes $annuityValueType |
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* @return null|string |
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* @throws Exception |
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*/ |
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public function getAnnuityValue( |
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AnnuityPaymentTypes $annuityPaymentType = null, |
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AnnuityValueTypes $annuityValueType |
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) { |
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// if the number of the annuity's compounding periods |
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// is set to zero, we're dealing with a perpetuity |
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if (Helpers::checkIfZero($this->annuityNoOfCompoundingPeriods)) { |
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// we cannot calculate FV of a perpetuity, we therefore return null |
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// in case such a value is demanded |
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if ($annuityValueType->getValue() == AnnuityValueTypes::FUTURE_VALUE) { |
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return null; |
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} |
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// PV of a perpetuity = K/i |
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return Helpers::roundMoneyForDisplay( |
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MathFuncs::div( |
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$this->annuitySinglePaymentAmount, |
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$this->annuityInterest) |
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); |
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} |
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// when the annuity is not a perpetuity, we first need to check that |
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// the $annuityPaymentType is not null |
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if (Helpers::checkIfNotNull($annuityPaymentType)) { |
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// discount factor 'v = 1/(1+i)' |
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$discountFactor = MathFuncs::div( |
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1, |
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MathFuncs::add( |
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1, |
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$this->annuityInterest |
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) |
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); |
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if ($annuityValueType->getValue() == AnnuityValueTypes::PRESENT_VALUE) { |
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// PV numerator = 1-v^n |
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$numerator = MathFuncs::sub( |
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1, |
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MathFuncs::pow( |
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$discountFactor, |
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$this->annuityNoOfCompoundingPeriods |
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336
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) |
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337
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); |
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338
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} elseif ($annuityValueType->getValue() == AnnuityValueTypes::FUTURE_VALUE) { |
|
339
|
|
|
// FV numerator = (1+i)^n-1 |
|
340
|
|
|
$numerator = MathFuncs::sub( |
|
341
|
|
|
MathFuncs::pow( |
|
342
|
|
|
MathFuncs::add( |
|
343
|
|
|
1, |
|
344
|
|
|
$this->annuityInterest |
|
345
|
|
|
), |
|
346
|
|
|
$this->annuityNoOfCompoundingPeriods |
|
347
|
|
|
), |
|
348
|
|
|
1 |
|
349
|
|
|
); |
|
350
|
|
|
} |
|
351
|
|
|
|
|
352
|
|
|
if ($annuityPaymentType->getValue() == AnnuityPaymentTypes::IN_ADVANCE) { |
|
353
|
|
|
// in advance denom. = 1-v |
|
354
|
|
|
$denominator = MathFuncs::sub(1, $discountFactor); |
|
355
|
|
|
} elseif ($annuityPaymentType->getValue() == AnnuityPaymentTypes::IN_ARREARS) { |
|
|
|
|
|
|
356
|
|
|
// in arrears denom. = i |
|
357
|
|
|
$denominator = $this->annuityInterest; |
|
358
|
|
|
} |
|
359
|
|
|
|
|
360
|
|
|
if (isset($numerator) && isset($denominator)) { |
|
361
|
|
|
return |
|
362
|
|
|
// PV|FV = K*(PV|FV of unit annuity) |
|
363
|
|
|
MathFuncs::mul( |
|
364
|
|
|
MathFuncs::div( |
|
365
|
|
|
$numerator, |
|
366
|
|
|
$denominator), |
|
367
|
|
|
$this->annuitySinglePaymentAmount); |
|
368
|
|
|
} |
|
369
|
|
|
} |
|
370
|
|
|
|
|
371
|
|
|
return null; |
|
372
|
|
|
} |
|
373
|
|
|
} |
|
374
|
|
|
} |
|
375
|
|
|
|
If a variable is not always an object, we recommend to add an additional type check to ensure your method call is safe: