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<?php
namespace PhpOffice\PhpSpreadsheet\Calculation\Financial;
use PhpOffice\PhpSpreadsheet\Calculation\DateTimeExcel;
use PhpOffice\PhpSpreadsheet\Calculation\Exception;
use PhpOffice\PhpSpreadsheet\Calculation\Financial\Constants as FinancialConstants;
use PhpOffice\PhpSpreadsheet\Calculation\Functions;
class Amortization
{
/**
* AMORDEGRC.
*
* Returns the depreciation for each accounting period.
* This function is provided for the French accounting system. If an asset is purchased in
* the middle of the accounting period, the prorated depreciation is taken into account.
* The function is similar to AMORLINC, except that a depreciation coefficient is applied in
* the calculation depending on the life of the assets.
* This function will return the depreciation until the last period of the life of the assets
* or until the cumulated value of depreciation is greater than the cost of the assets minus
* the salvage value.
*
* Excel Function:
* AMORDEGRC(cost,purchased,firstPeriod,salvage,period,rate[,basis])
*
* @param mixed $cost The float cost of the asset
* @param mixed $purchased Date of the purchase of the asset
* @param mixed $firstPeriod Date of the end of the first period
* @param mixed $salvage The salvage value at the end of the life of the asset
* @param mixed $period the period (float)
* @param mixed $rate rate of depreciation (float)
* @param mixed $basis The type of day count to use (int).
* 0 or omitted US (NASD) 30/360
* 1 Actual/actual
* 2 Actual/360
* 3 Actual/365
* 4 European 30/360
*
* @return float|string (string containing the error type if there is an error)
*/
public static function AMORDEGRC(
$cost,
$purchased,
$firstPeriod,
$salvage,
$period,
$rate,
$basis = FinancialConstants::BASIS_DAYS_PER_YEAR_NASD
) {
$cost = Functions::flattenSingleValue($cost);
$purchased = Functions::flattenSingleValue($purchased);
$firstPeriod = Functions::flattenSingleValue($firstPeriod);
$salvage = Functions::flattenSingleValue($salvage);
$period = Functions::flattenSingleValue($period);
$rate = Functions::flattenSingleValue($rate);
$basis = ($basis === null)
? FinancialConstants::BASIS_DAYS_PER_YEAR_NASD
: Functions::flattenSingleValue($basis);
try {
$cost = FinancialValidations::validateFloat($cost);
$purchased = FinancialValidations::validateDate($purchased);
$firstPeriod = FinancialValidations::validateDate($firstPeriod);
$salvage = FinancialValidations::validateFloat($salvage);
$period = FinancialValidations::validateInt($period);
$rate = FinancialValidations::validateFloat($rate);
$basis = FinancialValidations::validateBasis($basis);
} catch (Exception $e) {
return $e->getMessage();
}
$yearFracx = DateTimeExcel\YearFrac::fraction($purchased, $firstPeriod, $basis);
if (is_string($yearFracx)) {
return $yearFracx;
}
/** @var float */
$yearFrac = $yearFracx;
$amortiseCoeff = self::getAmortizationCoefficient($rate);
$rate *= $amortiseCoeff;
$fNRate = round($yearFrac * $rate * $cost, 0);
$cost -= $fNRate;
$fRest = $cost - $salvage;
for ($n = 0; $n < $period; ++$n) {
$fNRate = round($rate * $cost, 0);
$fRest -= $fNRate;
if ($fRest < 0.0) {
switch ($period - $n) {
case 0:
case 1:
return round($cost * 0.5, 0);
default:
return 0.0;
}
}
$cost -= $fNRate;
}
return $fNRate;
}
/**
* AMORLINC.
*
* Returns the depreciation for each accounting period.
* This function is provided for the French accounting system. If an asset is purchased in
* the middle of the accounting period, the prorated depreciation is taken into account.
*
* Excel Function:
* AMORLINC(cost,purchased,firstPeriod,salvage,period,rate[,basis])
*
* @param mixed $cost The cost of the asset as a float
* @param mixed $purchased Date of the purchase of the asset
* @param mixed $firstPeriod Date of the end of the first period
* @param mixed $salvage The salvage value at the end of the life of the asset
* @param mixed $period The period as a float
* @param mixed $rate Rate of depreciation as float
* @param mixed $basis Integer indicating the type of day count to use.
* 0 or omitted US (NASD) 30/360
* 1 Actual/actual
* 2 Actual/360
* 3 Actual/365
* 4 European 30/360
*
* @return float|string (string containing the error type if there is an error)
*/
public static function AMORLINC(
$cost,
$purchased,
$firstPeriod,
$salvage,
$period,
$rate,
$basis = FinancialConstants::BASIS_DAYS_PER_YEAR_NASD
) {
$cost = Functions::flattenSingleValue($cost);
$purchased = Functions::flattenSingleValue($purchased);
$firstPeriod = Functions::flattenSingleValue($firstPeriod);
$salvage = Functions::flattenSingleValue($salvage);
$period = Functions::flattenSingleValue($period);
$rate = Functions::flattenSingleValue($rate);
$basis = ($basis === null)
? FinancialConstants::BASIS_DAYS_PER_YEAR_NASD
: Functions::flattenSingleValue($basis);
try {
$cost = FinancialValidations::validateFloat($cost);
$purchased = FinancialValidations::validateDate($purchased);
$firstPeriod = FinancialValidations::validateDate($firstPeriod);
$salvage = FinancialValidations::validateFloat($salvage);
$period = FinancialValidations::validateFloat($period);
$rate = FinancialValidations::validateFloat($rate);
$basis = FinancialValidations::validateBasis($basis);
} catch (Exception $e) {
return $e->getMessage();
}
$fOneRate = $cost * $rate;
$fCostDelta = $cost - $salvage;
// Note, quirky variation for leap years on the YEARFRAC for this function
$purchasedYear = DateTimeExcel\DateParts::year($purchased);
$yearFracx = DateTimeExcel\YearFrac::fraction($purchased, $firstPeriod, $basis);
if (is_string($yearFracx)) {
return $yearFracx;
}
/** @var float */
$yearFrac = $yearFracx;
if (
$basis == FinancialConstants::BASIS_DAYS_PER_YEAR_ACTUAL
&& $yearFrac < 1
&& DateTimeExcel\Helpers::isLeapYear(Functions::scalar($purchasedYear))
) {
$yearFrac *= 365 / 366;
}
$f0Rate = $yearFrac * $rate * $cost;
$nNumOfFullPeriods = (int) (($cost - $salvage - $f0Rate) / $fOneRate);
if ($period == 0) {
return $f0Rate;
} elseif ($period <= $nNumOfFullPeriods) {
return $fOneRate;
} elseif ($period == ($nNumOfFullPeriods + 1)) {
return $fCostDelta - $fOneRate * $nNumOfFullPeriods - $f0Rate;
}
return 0.0;
}
private static function getAmortizationCoefficient(float $rate): float
{
// The depreciation coefficients are:
// Life of assets (1/rate) Depreciation coefficient
// Less than 3 years 1
// Between 3 and 4 years 1.5
// Between 5 and 6 years 2
// More than 6 years 2.5
$fUsePer = 1.0 / $rate;
if ($fUsePer < 3.0) {
return 1.0;
} elseif ($fUsePer < 4.0) {
return 1.5;
} elseif ($fUsePer <= 6.0) {
return 2.0;
}
return 2.5;
}
}
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