Financial.php 60.4 KB
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<?php

namespace PhpOffice\PhpSpreadsheet\Calculation;

use PhpOffice\PhpSpreadsheet\Calculation\Financial\Amortization;
use PhpOffice\PhpSpreadsheet\Calculation\Financial\Coupons;
use PhpOffice\PhpSpreadsheet\Calculation\Financial\Depreciation;
use PhpOffice\PhpSpreadsheet\Calculation\Financial\Dollar;
use PhpOffice\PhpSpreadsheet\Calculation\Financial\InterestRate;
use PhpOffice\PhpSpreadsheet\Calculation\Financial\Securities;
use PhpOffice\PhpSpreadsheet\Calculation\Financial\TreasuryBill;

/**
 * @deprecated 1.18.0
 */
class Financial
{
    const FINANCIAL_MAX_ITERATIONS = 128;

    const FINANCIAL_PRECISION = 1.0e-08;

    /**
     * ACCRINT.
     *
     * Returns the accrued interest for a security that pays periodic interest.
     *
     * Excel Function:
     *        ACCRINT(issue,firstinterest,settlement,rate,par,frequency[,basis][,calc_method])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Securities\AccruedInterest::periodic()
     *      Use the periodic() method in the Financial\Securities\AccruedInterest class instead
     *
     * @param mixed $issue the security's issue date
     * @param mixed $firstInterest the security's first interest date
     * @param mixed $settlement The security's settlement date.
     *                              The security settlement date is the date after the issue date
     *                                  when the security is traded to the buyer.
     * @param mixed $rate the security's annual coupon rate
     * @param mixed $parValue The security's par value.
     *                            If you omit par, ACCRINT uses $1,000.
     * @param mixed $frequency The number of coupon payments per year.
     *                             Valid frequency values are:
     *                               1    Annual
     *                               2    Semi-Annual
     *                               4    Quarterly
     * @param mixed $basis The type of day count to use.
     *                         0 or omitted    US (NASD) 30/360
     *                         1               Actual/actual
     *                         2               Actual/360
     *                         3               Actual/365
     *                         4               European 30/360
     * @param mixed $calcMethod
     *                          If true, use Issue to Settlement
     *                          If false, use FirstInterest to Settlement
     *
     * @return float|string Result, or a string containing an error
     */
    public static function ACCRINT(
        $issue,
        $firstInterest,
        $settlement,
        $rate,
        $parValue = 1000,
        $frequency = 1,
        $basis = 0,
        $calcMethod = true
    ) {
        return Securities\AccruedInterest::periodic(
            $issue,
            $firstInterest,
            $settlement,
            $rate,
            $parValue,
            $frequency,
            $basis,
            $calcMethod
        );
    }

    /**
     * ACCRINTM.
     *
     * Returns the accrued interest for a security that pays interest at maturity.
     *
     * Excel Function:
     *        ACCRINTM(issue,settlement,rate[,par[,basis]])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Securities\AccruedInterest::atMaturity()
     *      Use the atMaturity() method in the Financial\Securities\AccruedInterest class instead
     *
     * @param mixed $issue The security's issue date
     * @param mixed $settlement The security's settlement (or maturity) date
     * @param mixed $rate The security's annual coupon rate
     * @param mixed $parValue The security's par value.
     *                            If you omit par, ACCRINT uses $1,000.
     * @param mixed $basis The type of day count to use.
     *                            0 or omitted    US (NASD) 30/360
     *                            1               Actual/actual
     *                            2               Actual/360
     *                            3               Actual/365
     *                            4               European 30/360
     *
     * @return float|string Result, or a string containing an error
     */
    public static function ACCRINTM($issue, $settlement, $rate, $parValue = 1000, $basis = 0)
    {
        return Securities\AccruedInterest::atMaturity($issue, $settlement, $rate, $parValue, $basis);
    }

    /**
     * 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])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Amortization::AMORDEGRC()
     *      Use the AMORDEGRC() method in the Financial\Amortization class instead
     *
     * @param float $cost The 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 float $period The period
     * @param float $rate Rate of depreciation
     * @param int $basis The type of day count to use.
     *                       0 or omitted    US (NASD) 30/360
     *                       1                Actual/actual
     *                       2                Actual/360
     *                       3                Actual/365
     *                       4                European 30/360
     *
     * @return float|string (string containing the error type if there is an error)
     */
    public static function AMORDEGRC($cost, $purchased, $firstPeriod, $salvage, $period, $rate, $basis = 0)
    {
        return Amortization::AMORDEGRC($cost, $purchased, $firstPeriod, $salvage, $period, $rate, $basis);
    }

    /**
     * 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])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Amortization::AMORLINC()
     *      Use the AMORLINC() method in the Financial\Amortization class instead
     *
     * @param float $cost The 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 float $period The period
     * @param float $rate Rate of depreciation
     * @param int $basis The type of day count to use.
     *                       0 or omitted    US (NASD) 30/360
     *                       1               Actual/actual
     *                       2               Actual/360
     *                       3               Actual/365
     *                       4               European 30/360
     *
     * @return float|string (string containing the error type if there is an error)
     */
    public static function AMORLINC($cost, $purchased, $firstPeriod, $salvage, $period, $rate, $basis = 0)
    {
        return Amortization::AMORLINC($cost, $purchased, $firstPeriod, $salvage, $period, $rate, $basis);
    }

    /**
     * COUPDAYBS.
     *
     * Returns the number of days from the beginning of the coupon period to the settlement date.
     *
     * Excel Function:
     *        COUPDAYBS(settlement,maturity,frequency[,basis])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Coupons::COUPDAYBS()
     *      Use the COUPDAYBS() method in the Financial\Coupons class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                                The security settlement date is the date after the issue
     *                                date when the security is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                                The maturity date is the date when the security expires.
     * @param int $frequency the number of coupon payments per year.
     *                                    Valid frequency values are:
     *                                        1    Annual
     *                                        2    Semi-Annual
     *                                        4    Quarterly
     * @param int $basis The type of day count to use.
     *                                        0 or omitted    US (NASD) 30/360
     *                                        1                Actual/actual
     *                                        2                Actual/360
     *                                        3                Actual/365
     *                                        4                European 30/360
     *
     * @return float|string
     */
    public static function COUPDAYBS($settlement, $maturity, $frequency, $basis = 0)
    {
        return Coupons::COUPDAYBS($settlement, $maturity, $frequency, $basis);
    }

    /**
     * COUPDAYS.
     *
     * Returns the number of days in the coupon period that contains the settlement date.
     *
     * Excel Function:
     *        COUPDAYS(settlement,maturity,frequency[,basis])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Coupons::COUPDAYS()
     *      Use the COUPDAYS() method in the Financial\Coupons class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                                The security settlement date is the date after the issue
     *                                date when the security is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                                The maturity date is the date when the security expires.
     * @param mixed $frequency the number of coupon payments per year.
     *                                    Valid frequency values are:
     *                                        1    Annual
     *                                        2    Semi-Annual
     *                                        4    Quarterly
     * @param int $basis The type of day count to use.
     *                                        0 or omitted    US (NASD) 30/360
     *                                        1                Actual/actual
     *                                        2                Actual/360
     *                                        3                Actual/365
     *                                        4                European 30/360
     *
     * @return float|string
     */
    public static function COUPDAYS($settlement, $maturity, $frequency, $basis = 0)
    {
        return Coupons::COUPDAYS($settlement, $maturity, $frequency, $basis);
    }

    /**
     * COUPDAYSNC.
     *
     * Returns the number of days from the settlement date to the next coupon date.
     *
     * Excel Function:
     *        COUPDAYSNC(settlement,maturity,frequency[,basis])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Coupons::COUPDAYSNC()
     *      Use the COUPDAYSNC() method in the Financial\Coupons class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                                The security settlement date is the date after the issue
     *                                date when the security is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                                The maturity date is the date when the security expires.
     * @param mixed $frequency the number of coupon payments per year.
     *                                    Valid frequency values are:
     *                                        1    Annual
     *                                        2    Semi-Annual
     *                                        4    Quarterly
     * @param int $basis The type of day count to use.
     *                                        0 or omitted    US (NASD) 30/360
     *                                        1                Actual/actual
     *                                        2                Actual/360
     *                                        3                Actual/365
     *                                        4                European 30/360
     *
     * @return float|string
     */
    public static function COUPDAYSNC($settlement, $maturity, $frequency, $basis = 0)
    {
        return Coupons::COUPDAYSNC($settlement, $maturity, $frequency, $basis);
    }

    /**
     * COUPNCD.
     *
     * Returns the next coupon date after the settlement date.
     *
     * Excel Function:
     *        COUPNCD(settlement,maturity,frequency[,basis])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Coupons::COUPNCD()
     *      Use the COUPNCD() method in the Financial\Coupons class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                                The security settlement date is the date after the issue
     *                                date when the security is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                                The maturity date is the date when the security expires.
     * @param mixed $frequency the number of coupon payments per year.
     *                                    Valid frequency values are:
     *                                        1    Annual
     *                                        2    Semi-Annual
     *                                        4    Quarterly
     * @param int $basis The type of day count to use.
     *                                        0 or omitted    US (NASD) 30/360
     *                                        1                Actual/actual
     *                                        2                Actual/360
     *                                        3                Actual/365
     *                                        4                European 30/360
     *
     * @return mixed Excel date/time serial value, PHP date/time serial value or PHP date/time object,
     *                        depending on the value of the ReturnDateType flag
     */
    public static function COUPNCD($settlement, $maturity, $frequency, $basis = 0)
    {
        return Coupons::COUPNCD($settlement, $maturity, $frequency, $basis);
    }

    /**
     * COUPNUM.
     *
     * Returns the number of coupons payable between the settlement date and maturity date,
     * rounded up to the nearest whole coupon.
     *
     * Excel Function:
     *        COUPNUM(settlement,maturity,frequency[,basis])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Coupons::COUPNUM()
     *      Use the COUPNUM() method in the Financial\Coupons class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                                The security settlement date is the date after the issue
     *                                date when the security is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                                The maturity date is the date when the security expires.
     * @param mixed $frequency the number of coupon payments per year.
     *                                    Valid frequency values are:
     *                                        1    Annual
     *                                        2    Semi-Annual
     *                                        4    Quarterly
     * @param int $basis The type of day count to use.
     *                                        0 or omitted    US (NASD) 30/360
     *                                        1                Actual/actual
     *                                        2                Actual/360
     *                                        3                Actual/365
     *                                        4                European 30/360
     *
     * @return int|string
     */
    public static function COUPNUM($settlement, $maturity, $frequency, $basis = 0)
    {
        return Coupons::COUPNUM($settlement, $maturity, $frequency, $basis);
    }

    /**
     * COUPPCD.
     *
     * Returns the previous coupon date before the settlement date.
     *
     * Excel Function:
     *        COUPPCD(settlement,maturity,frequency[,basis])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Coupons::COUPPCD()
     *      Use the COUPPCD() method in the Financial\Coupons class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                                The security settlement date is the date after the issue
     *                                date when the security is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                                The maturity date is the date when the security expires.
     * @param mixed $frequency the number of coupon payments per year.
     *                                    Valid frequency values are:
     *                                        1    Annual
     *                                        2    Semi-Annual
     *                                        4    Quarterly
     * @param int $basis The type of day count to use.
     *                                        0 or omitted    US (NASD) 30/360
     *                                        1                Actual/actual
     *                                        2                Actual/360
     *                                        3                Actual/365
     *                                        4                European 30/360
     *
     * @return mixed Excel date/time serial value, PHP date/time serial value or PHP date/time object,
     *                        depending on the value of the ReturnDateType flag
     */
    public static function COUPPCD($settlement, $maturity, $frequency, $basis = 0)
    {
        return Coupons::COUPPCD($settlement, $maturity, $frequency, $basis);
    }

    /**
     * CUMIPMT.
     *
     * Returns the cumulative interest paid on a loan between the start and end periods.
     *
     * Excel Function:
     *        CUMIPMT(rate,nper,pv,start,end[,type])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Constant\Periodic\Cumulative::interest()
     *      Use the interest() method in the Financial\CashFlow\Constant\Periodic\Cumulative class instead
     *
     * @param float $rate The Interest rate
     * @param int $nper The total number of payment periods
     * @param float $pv Present Value
     * @param int $start The first period in the calculation.
     *                       Payment periods are numbered beginning with 1.
     * @param int $end the last period in the calculation
     * @param int $type A number 0 or 1 and indicates when payments are due:
     *                    0 or omitted    At the end of the period.
     *                    1               At the beginning of the period.
     *
     * @return float|string
     */
    public static function CUMIPMT($rate, $nper, $pv, $start, $end, $type = 0)
    {
        return Financial\CashFlow\Constant\Periodic\Cumulative::interest($rate, $nper, $pv, $start, $end, $type);
    }

    /**
     * CUMPRINC.
     *
     * Returns the cumulative principal paid on a loan between the start and end periods.
     *
     * Excel Function:
     *        CUMPRINC(rate,nper,pv,start,end[,type])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Constant\Periodic\Cumulative::principal()
     *      Use the principal() method in the Financial\CashFlow\Constant\Periodic\Cumulative class instead
     *
     * @param float $rate The Interest rate
     * @param int $nper The total number of payment periods
     * @param float $pv Present Value
     * @param int $start The first period in the calculation.
     *                       Payment periods are numbered beginning with 1.
     * @param int $end the last period in the calculation
     * @param int $type A number 0 or 1 and indicates when payments are due:
     *                    0 or omitted    At the end of the period.
     *                    1               At the beginning of the period.
     *
     * @return float|string
     */
    public static function CUMPRINC($rate, $nper, $pv, $start, $end, $type = 0)
    {
        return Financial\CashFlow\Constant\Periodic\Cumulative::principal($rate, $nper, $pv, $start, $end, $type);
    }

    /**
     * DB.
     *
     * Returns the depreciation of an asset for a specified period using the
     * fixed-declining balance method.
     * This form of depreciation is used if you want to get a higher depreciation value
     * at the beginning of the depreciation (as opposed to linear depreciation). The
     * depreciation value is reduced with every depreciation period by the depreciation
     * already deducted from the initial cost.
     *
     * Excel Function:
     *        DB(cost,salvage,life,period[,month])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Depreciation::DB()
     *      Use the DB() method in the Financial\Depreciation class instead
     *
     * @param float $cost Initial cost of the asset
     * @param float $salvage Value at the end of the depreciation.
     *                                (Sometimes called the salvage value of the asset)
     * @param int $life Number of periods over which the asset is depreciated.
     *                                (Sometimes called the useful life of the asset)
     * @param int $period The period for which you want to calculate the
     *                                depreciation. Period must use the same units as life.
     * @param int $month Number of months in the first year. If month is omitted,
     *                                it defaults to 12.
     *
     * @return float|string
     */
    public static function DB($cost, $salvage, $life, $period, $month = 12)
    {
        return Depreciation::DB($cost, $salvage, $life, $period, $month);
    }

    /**
     * DDB.
     *
     * Returns the depreciation of an asset for a specified period using the
     * double-declining balance method or some other method you specify.
     *
     * Excel Function:
     *        DDB(cost,salvage,life,period[,factor])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Depreciation::DDB()
     *      Use the DDB() method in the Financial\Depreciation class instead
     *
     * @param float $cost Initial cost of the asset
     * @param float $salvage Value at the end of the depreciation.
     *                                (Sometimes called the salvage value of the asset)
     * @param int $life Number of periods over which the asset is depreciated.
     *                                (Sometimes called the useful life of the asset)
     * @param int $period The period for which you want to calculate the
     *                                depreciation. Period must use the same units as life.
     * @param float $factor The rate at which the balance declines.
     *                                If factor is omitted, it is assumed to be 2 (the
     *                                double-declining balance method).
     *
     * @return float|string
     */
    public static function DDB($cost, $salvage, $life, $period, $factor = 2.0)
    {
        return Depreciation::DDB($cost, $salvage, $life, $period, $factor);
    }

    /**
     * DISC.
     *
     * Returns the discount rate for a security.
     *
     * Excel Function:
     *        DISC(settlement,maturity,price,redemption[,basis])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Securities\Rates::discount()
     *      Use the discount() method in the Financial\Securities\Rates class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                                The security settlement date is the date after the issue
     *                                date when the security is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                                The maturity date is the date when the security expires.
     * @param int $price The security's price per $100 face value
     * @param int $redemption The security's redemption value per $100 face value
     * @param int $basis The type of day count to use.
     *                                        0 or omitted    US (NASD) 30/360
     *                                        1                Actual/actual
     *                                        2                Actual/360
     *                                        3                Actual/365
     *                                        4                European 30/360
     *
     * @return float|string
     */
    public static function DISC($settlement, $maturity, $price, $redemption, $basis = 0)
    {
        return Financial\Securities\Rates::discount($settlement, $maturity, $price, $redemption, $basis);
    }

    /**
     * DOLLARDE.
     *
     * Converts a dollar price expressed as an integer part and a fraction
     *        part into a dollar price expressed as a decimal number.
     * Fractional dollar numbers are sometimes used for security prices.
     *
     * Excel Function:
     *        DOLLARDE(fractional_dollar,fraction)
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Dollar::decimal()
     *      Use the decimal() method in the Financial\Dollar class instead
     *
     * @param float $fractional_dollar Fractional Dollar
     * @param int $fraction Fraction
     *
     * @return float|string
     */
    public static function DOLLARDE($fractional_dollar = null, $fraction = 0)
    {
        return Dollar::decimal($fractional_dollar, $fraction);
    }

    /**
     * DOLLARFR.
     *
     * Converts a dollar price expressed as a decimal number into a dollar price
     *        expressed as a fraction.
     * Fractional dollar numbers are sometimes used for security prices.
     *
     * Excel Function:
     *        DOLLARFR(decimal_dollar,fraction)
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Dollar::fractional()
     *      Use the fractional() method in the Financial\Dollar class instead
     *
     * @param float $decimal_dollar Decimal Dollar
     * @param int $fraction Fraction
     *
     * @return float|string
     */
    public static function DOLLARFR($decimal_dollar = null, $fraction = 0)
    {
        return Dollar::fractional($decimal_dollar, $fraction);
    }

    /**
     * EFFECT.
     *
     * Returns the effective interest rate given the nominal rate and the number of
     *        compounding payments per year.
     *
     * Excel Function:
     *        EFFECT(nominal_rate,npery)
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\InterestRate::effective()
     *      Use the effective() method in the Financial\InterestRate class instead
     *
     * @param float $nominalRate Nominal interest rate
     * @param int $periodsPerYear Number of compounding payments per year
     *
     * @return float|string
     */
    public static function EFFECT($nominalRate = 0, $periodsPerYear = 0)
    {
        return Financial\InterestRate::effective($nominalRate, $periodsPerYear);
    }

    /**
     * FV.
     *
     * Returns the Future Value of a cash flow with constant payments and interest rate (annuities).
     *
     * Excel Function:
     *        FV(rate,nper,pmt[,pv[,type]])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Constant\Periodic::futureValue()
     *      Use the futureValue() method in the Financial\CashFlow\Constant\Periodic class instead
     *
     * @param float $rate The interest rate per period
     * @param int $nper Total number of payment periods in an annuity
     * @param float $pmt The payment made each period: it cannot change over the
     *                            life of the annuity. Typically, pmt contains principal
     *                            and interest but no other fees or taxes.
     * @param float $pv present Value, or the lump-sum amount that a series of
     *                            future payments is worth right now
     * @param int $type A number 0 or 1 and indicates when payments are due:
     *                                0 or omitted    At the end of the period.
     *                                1                At the beginning of the period.
     *
     * @return float|string
     */
    public static function FV($rate = 0, $nper = 0, $pmt = 0, $pv = 0, $type = 0)
    {
        return Financial\CashFlow\Constant\Periodic::futureValue($rate, $nper, $pmt, $pv, $type);
    }

    /**
     * FVSCHEDULE.
     *
     * Returns the future value of an initial principal after applying a series of compound interest rates.
     * Use FVSCHEDULE to calculate the future value of an investment with a variable or adjustable rate.
     *
     * Excel Function:
     *        FVSCHEDULE(principal,schedule)
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Single::futureValue()
     *      Use the futureValue() method in the Financial\CashFlow\Single class instead
     *
     * @param float $principal the present value
     * @param float[] $schedule an array of interest rates to apply
     *
     * @return float|string
     */
    public static function FVSCHEDULE($principal, $schedule)
    {
        return Financial\CashFlow\Single::futureValue($principal, $schedule);
    }

    /**
     * INTRATE.
     *
     * Returns the interest rate for a fully invested security.
     *
     * Excel Function:
     *        INTRATE(settlement,maturity,investment,redemption[,basis])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Securities\Rates::interest()
     *      Use the interest() method in the Financial\Securities\Rates class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                              The security settlement date is the date after the issue date when the security
     *                                  is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                            The maturity date is the date when the security expires.
     * @param int $investment the amount invested in the security
     * @param int $redemption the amount to be received at maturity
     * @param int $basis The type of day count to use.
     *                       0 or omitted    US (NASD) 30/360
     *                       1               Actual/actual
     *                       2               Actual/360
     *                       3               Actual/365
     *                       4               European 30/360
     *
     * @return float|string
     */
    public static function INTRATE($settlement, $maturity, $investment, $redemption, $basis = 0)
    {
        return Financial\Securities\Rates::interest($settlement, $maturity, $investment, $redemption, $basis);
    }

    /**
     * IPMT.
     *
     * Returns the interest payment for a given period for an investment based on periodic, constant payments
     *         and a constant interest rate.
     *
     * Excel Function:
     *        IPMT(rate,per,nper,pv[,fv][,type])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Constant\Periodic\Interest::payment()
     *      Use the payment() method in the Financial\CashFlow\Constant\Periodic class instead
     *
     * @param float $rate Interest rate per period
     * @param int $per Period for which we want to find the interest
     * @param int $nper Number of periods
     * @param float $pv Present Value
     * @param float $fv Future Value
     * @param int $type Payment type: 0 = at the end of each period, 1 = at the beginning of each period
     *
     * @return float|string
     */
    public static function IPMT($rate, $per, $nper, $pv, $fv = 0, $type = 0)
    {
        return Financial\CashFlow\Constant\Periodic\Interest::payment($rate, $per, $nper, $pv, $fv, $type);
    }

    /**
     * IRR.
     *
     * Returns the internal rate of return for a series of cash flows represented by the numbers in values.
     * These cash flows do not have to be even, as they would be for an annuity. However, the cash flows must occur
     * at regular intervals, such as monthly or annually. The internal rate of return is the interest rate received
     * for an investment consisting of payments (negative values) and income (positive values) that occur at regular
     * periods.
     *
     * Excel Function:
     *        IRR(values[,guess])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Variable\Periodic::rate()
     *      Use the rate() method in the Financial\CashFlow\Variable\Periodic class instead
     *
     * @param mixed $values An array or a reference to cells that contain numbers for which you want
     *                                    to calculate the internal rate of return.
     *                                Values must contain at least one positive value and one negative value to
     *                                    calculate the internal rate of return.
     * @param mixed $guess A number that you guess is close to the result of IRR
     *
     * @return float|string
     */
    public static function IRR($values, $guess = 0.1)
    {
        return Financial\CashFlow\Variable\Periodic::rate($values, $guess);
    }

    /**
     * ISPMT.
     *
     * Returns the interest payment for an investment based on an interest rate and a constant payment schedule.
     *
     * Excel Function:
     *     =ISPMT(interest_rate, period, number_payments, pv)
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Constant\Periodic\Interest::schedulePayment()
     *      Use the schedulePayment() method in the Financial\CashFlow\Constant\Periodic class instead
     *
     * interest_rate is the interest rate for the investment
     *
     * period is the period to calculate the interest rate.  It must be betweeen 1 and number_payments.
     *
     * number_payments is the number of payments for the annuity
     *
     * pv is the loan amount or present value of the payments
     */
    public static function ISPMT(...$args)
    {
        return Financial\CashFlow\Constant\Periodic\Interest::schedulePayment(...$args);
    }

    /**
     * MIRR.
     *
     * Returns the modified internal rate of return for a series of periodic cash flows. MIRR considers both
     *        the cost of the investment and the interest received on reinvestment of cash.
     *
     * Excel Function:
     *        MIRR(values,finance_rate, reinvestment_rate)
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Variable\Periodic::modifiedRate()
     *      Use the modifiedRate() method in the Financial\CashFlow\Variable\Periodic class instead
     *
     * @param mixed $values An array or a reference to cells that contain a series of payments and
     *                         income occurring at regular intervals.
     *                      Payments are negative value, income is positive values.
     * @param mixed $finance_rate The interest rate you pay on the money used in the cash flows
     * @param mixed $reinvestment_rate The interest rate you receive on the cash flows as you reinvest them
     *
     * @return float|string Result, or a string containing an error
     */
    public static function MIRR($values, $finance_rate, $reinvestment_rate)
    {
        return Financial\CashFlow\Variable\Periodic::modifiedRate($values, $finance_rate, $reinvestment_rate);
    }

    /**
     * NOMINAL.
     *
     * Returns the nominal interest rate given the effective rate and the number of compounding payments per year.
     *
     * Excel Function:
     *        NOMINAL(effect_rate, npery)
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\InterestRate::nominal()
     *      Use the nominal() method in the Financial\InterestRate class instead
     *
     * @param float $effectiveRate Effective interest rate
     * @param int $periodsPerYear Number of compounding payments per year
     *
     * @return float|string Result, or a string containing an error
     */
    public static function NOMINAL($effectiveRate = 0, $periodsPerYear = 0)
    {
        return InterestRate::nominal($effectiveRate, $periodsPerYear);
    }

    /**
     * NPER.
     *
     * Returns the number of periods for a cash flow with constant periodic payments (annuities), and interest rate.
     *
     * @Deprecated 1.18.0
     *
     * @param float $rate Interest rate per period
     * @param int $pmt Periodic payment (annuity)
     * @param float $pv Present Value
     * @param float $fv Future Value
     * @param int $type Payment type: 0 = at the end of each period, 1 = at the beginning of each period
     *
     * @return float|string Result, or a string containing an error
     *
     *@see Financial\CashFlow\Constant\Periodic::periods()
     *      Use the periods() method in the Financial\CashFlow\Constant\Periodic class instead
     */
    public static function NPER($rate = 0, $pmt = 0, $pv = 0, $fv = 0, $type = 0)
    {
        return Financial\CashFlow\Constant\Periodic::periods($rate, $pmt, $pv, $fv, $type);
    }

    /**
     * NPV.
     *
     * Returns the Net Present Value of a cash flow series given a discount rate.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Variable\Periodic::presentValue()
     *      Use the presentValue() method in the Financial\CashFlow\Variable\Periodic class instead
     *
     * @return float
     */
    public static function NPV(...$args)
    {
        return Financial\CashFlow\Variable\Periodic::presentValue(...$args);
    }

    /**
     * PDURATION.
     *
     * Calculates the number of periods required for an investment to reach a specified value.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Single::periods()
     *      Use the periods() method in the Financial\CashFlow\Single class instead
     *
     * @param float $rate Interest rate per period
     * @param float $pv Present Value
     * @param float $fv Future Value
     *
     * @return float|string Result, or a string containing an error
     */
    public static function PDURATION($rate = 0, $pv = 0, $fv = 0)
    {
        return Financial\CashFlow\Single::periods($rate, $pv, $fv);
    }

    /**
     * PMT.
     *
     * Returns the constant payment (annuity) for a cash flow with a constant interest rate.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Constant\Periodic\Payments::annuity()
     *      Use the annuity() method in the Financial\CashFlow\Constant\Periodic\Payments class instead
     *
     * @param float $rate Interest rate per period
     * @param int $nper Number of periods
     * @param float $pv Present Value
     * @param float $fv Future Value
     * @param int $type Payment type: 0 = at the end of each period, 1 = at the beginning of each period
     *
     * @return float|string Result, or a string containing an error
     */
    public static function PMT($rate = 0, $nper = 0, $pv = 0, $fv = 0, $type = 0)
    {
        return Financial\CashFlow\Constant\Periodic\Payments::annuity($rate, $nper, $pv, $fv, $type);
    }

    /**
     * PPMT.
     *
     * Returns the interest payment for a given period for an investment based on periodic, constant payments
     *         and a constant interest rate.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Constant\Periodic\Payments::interestPayment()
     *      Use the interestPayment() method in the Financial\CashFlow\Constant\Periodic\Payments class instead
     *
     * @param float $rate Interest rate per period
     * @param int $per Period for which we want to find the interest
     * @param int $nper Number of periods
     * @param float $pv Present Value
     * @param float $fv Future Value
     * @param int $type Payment type: 0 = at the end of each period, 1 = at the beginning of each period
     *
     * @return float|string Result, or a string containing an error
     */
    public static function PPMT($rate, $per, $nper, $pv, $fv = 0, $type = 0)
    {
        return Financial\CashFlow\Constant\Periodic\Payments::interestPayment($rate, $per, $nper, $pv, $fv, $type);
    }

    /**
     * PRICE.
     *
     * Returns the price per $100 face value of a security that pays periodic interest.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Securities\Price::price()
     *      Use the price() method in the Financial\Securities\Price class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                              The security settlement date is the date after the issue date when the security
     *                              is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                                The maturity date is the date when the security expires.
     * @param float $rate the security's annual coupon rate
     * @param float $yield the security's annual yield
     * @param float $redemption The number of coupon payments per year.
     *                              For annual payments, frequency = 1;
     *                              for semiannual, frequency = 2;
     *                              for quarterly, frequency = 4.
     * @param int $frequency
     * @param int $basis The type of day count to use.
     *                       0 or omitted    US (NASD) 30/360
     *                       1                Actual/actual
     *                       2                Actual/360
     *                       3                Actual/365
     *                       4                European 30/360
     *
     * @return float|string Result, or a string containing an error
     */
    public static function PRICE($settlement, $maturity, $rate, $yield, $redemption, $frequency, $basis = 0)
    {
        return Securities\Price::price($settlement, $maturity, $rate, $yield, $redemption, $frequency, $basis);
    }

    /**
     * PRICEDISC.
     *
     * Returns the price per $100 face value of a discounted security.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Securities\Price::priceDiscounted()
     *      Use the priceDiscounted() method in the Financial\Securities\Price class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                              The security settlement date is the date after the issue date when the security
     *                              is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                            The maturity date is the date when the security expires.
     * @param int $discount The security's discount rate
     * @param int $redemption The security's redemption value per $100 face value
     * @param int $basis The type of day count to use.
     *                                        0 or omitted    US (NASD) 30/360
     *                                        1                Actual/actual
     *                                        2                Actual/360
     *                                        3                Actual/365
     *                                        4                European 30/360
     *
     * @return float|string Result, or a string containing an error
     */
    public static function PRICEDISC($settlement, $maturity, $discount, $redemption, $basis = 0)
    {
        return Securities\Price::priceDiscounted($settlement, $maturity, $discount, $redemption, $basis);
    }

    /**
     * PRICEMAT.
     *
     * Returns the price per $100 face value of a security that pays interest at maturity.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Securities\Price::priceAtMaturity()
     *      Use the priceAtMaturity() method in the Financial\Securities\Price class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                              The security's settlement date is the date after the issue date when the security
     *                              is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                            The maturity date is the date when the security expires.
     * @param mixed $issue The security's issue date
     * @param int $rate The security's interest rate at date of issue
     * @param int $yield The security's annual yield
     * @param int $basis The type of day count to use.
     *                                        0 or omitted    US (NASD) 30/360
     *                                        1                Actual/actual
     *                                        2                Actual/360
     *                                        3                Actual/365
     *                                        4                European 30/360
     *
     * @return float|string Result, or a string containing an error
     */
    public static function PRICEMAT($settlement, $maturity, $issue, $rate, $yield, $basis = 0)
    {
        return Securities\Price::priceAtMaturity($settlement, $maturity, $issue, $rate, $yield, $basis);
    }

    /**
     * PV.
     *
     * Returns the Present Value of a cash flow with constant payments and interest rate (annuities).
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Constant\Periodic::presentValue()
     *      Use the presentValue() method in the Financial\CashFlow\Constant\Periodic class instead
     *
     * @param float $rate Interest rate per period
     * @param int $nper Number of periods
     * @param float $pmt Periodic payment (annuity)
     * @param float $fv Future Value
     * @param int $type Payment type: 0 = at the end of each period, 1 = at the beginning of each period
     *
     * @return float|string Result, or a string containing an error
     */
    public static function PV($rate = 0, $nper = 0, $pmt = 0, $fv = 0, $type = 0)
    {
        return Financial\CashFlow\Constant\Periodic::presentValue($rate, $nper, $pmt, $fv, $type);
    }

    /**
     * RATE.
     *
     * Returns the interest rate per period of an annuity.
     * RATE is calculated by iteration and can have zero or more solutions.
     * If the successive results of RATE do not converge to within 0.0000001 after 20 iterations,
     * RATE returns the #NUM! error value.
     *
     * Excel Function:
     *        RATE(nper,pmt,pv[,fv[,type[,guess]]])
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Constant\Periodic\Interest::rate()
     *      Use the rate() method in the Financial\CashFlow\Constant\Periodic class instead
     *
     * @param mixed $nper The total number of payment periods in an annuity
     * @param mixed $pmt The payment made each period and cannot change over the life
     *                                    of the annuity.
     *                                Typically, pmt includes principal and interest but no other
     *                                    fees or taxes.
     * @param mixed $pv The present value - the total amount that a series of future
     *                                    payments is worth now
     * @param mixed $fv The future value, or a cash balance you want to attain after
     *                                    the last payment is made. If fv is omitted, it is assumed
     *                                    to be 0 (the future value of a loan, for example, is 0).
     * @param mixed $type A number 0 or 1 and indicates when payments are due:
     *                                        0 or omitted    At the end of the period.
     *                                        1                At the beginning of the period.
     * @param mixed $guess Your guess for what the rate will be.
     *                                    If you omit guess, it is assumed to be 10 percent.
     *
     * @return float|string
     */
    public static function RATE($nper, $pmt, $pv, $fv = 0.0, $type = 0, $guess = 0.1)
    {
        return Financial\CashFlow\Constant\Periodic\Interest::rate($nper, $pmt, $pv, $fv, $type, $guess);
    }

    /**
     * RECEIVED.
     *
     * Returns the amount received at maturity for a fully invested Security.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Securities\Price::received()
     *      Use the received() method in the Financial\Securities\Price class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                              The security settlement date is the date after the issue date when the security
     *                                  is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                            The maturity date is the date when the security expires.
     * @param mixed $investment The amount invested in the security
     * @param mixed $discount The security's discount rate
     * @param mixed $basis The type of day count to use.
     *                         0 or omitted    US (NASD) 30/360
     *                         1               Actual/actual
     *                         2               Actual/360
     *                         3               Actual/365
     *                         4               European 30/360
     *
     * @return float|string Result, or a string containing an error
     */
    public static function RECEIVED($settlement, $maturity, $investment, $discount, $basis = 0)
    {
        return Financial\Securities\Price::received($settlement, $maturity, $investment, $discount, $basis);
    }

    /**
     * RRI.
     *
     * Calculates the interest rate required for an investment to grow to a specified future value .
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Single::interestRate()
     *      Use the interestRate() method in the Financial\CashFlow\Single class instead
     *
     * @param float $nper The number of periods over which the investment is made
     * @param float $pv Present Value
     * @param float $fv Future Value
     *
     * @return float|string Result, or a string containing an error
     */
    public static function RRI($nper = 0, $pv = 0, $fv = 0)
    {
        return Financial\CashFlow\Single::interestRate($nper, $pv, $fv);
    }

    /**
     * SLN.
     *
     * Returns the straight-line depreciation of an asset for one period
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Depreciation::SLN()
     *      Use the SLN() method in the Financial\Depreciation class instead
     *
     * @param mixed $cost Initial cost of the asset
     * @param mixed $salvage Value at the end of the depreciation
     * @param mixed $life Number of periods over which the asset is depreciated
     *
     * @return float|string Result, or a string containing an error
     */
    public static function SLN($cost, $salvage, $life)
    {
        return Depreciation::SLN($cost, $salvage, $life);
    }

    /**
     * SYD.
     *
     * Returns the sum-of-years' digits depreciation of an asset for a specified period.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Depreciation::SYD()
     *      Use the SYD() method in the Financial\Depreciation class instead
     *
     * @param mixed $cost Initial cost of the asset
     * @param mixed $salvage Value at the end of the depreciation
     * @param mixed $life Number of periods over which the asset is depreciated
     * @param mixed $period Period
     *
     * @return float|string Result, or a string containing an error
     */
    public static function SYD($cost, $salvage, $life, $period)
    {
        return Depreciation::SYD($cost, $salvage, $life, $period);
    }

    /**
     * TBILLEQ.
     *
     * Returns the bond-equivalent yield for a Treasury bill.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\TreasuryBill::bondEquivalentYield()
     *      Use the bondEquivalentYield() method in the Financial\TreasuryBill class instead
     *
     * @param mixed $settlement The Treasury bill's settlement date.
     *                          The Treasury bill's settlement date is the date after the issue date when the
     *                              Treasury bill is traded to the buyer.
     * @param mixed $maturity The Treasury bill's maturity date.
     *                                The maturity date is the date when the Treasury bill expires.
     * @param int $discount The Treasury bill's discount rate
     *
     * @return float|string Result, or a string containing an error
     */
    public static function TBILLEQ($settlement, $maturity, $discount)
    {
        return TreasuryBill::bondEquivalentYield($settlement, $maturity, $discount);
    }

    /**
     * TBILLPRICE.
     *
     * Returns the price per $100 face value for a Treasury bill.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\TreasuryBill::price()
     *      Use the price() method in the Financial\TreasuryBill class instead
     *
     * @param mixed $settlement The Treasury bill's settlement date.
     *                                The Treasury bill's settlement date is the date after the issue date
     *                                    when the Treasury bill is traded to the buyer.
     * @param mixed $maturity The Treasury bill's maturity date.
     *                                The maturity date is the date when the Treasury bill expires.
     * @param int $discount The Treasury bill's discount rate
     *
     * @return float|string Result, or a string containing an error
     */
    public static function TBILLPRICE($settlement, $maturity, $discount)
    {
        return TreasuryBill::price($settlement, $maturity, $discount);
    }

    /**
     * TBILLYIELD.
     *
     * Returns the yield for a Treasury bill.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\TreasuryBill::yield()
     *      Use the yield() method in the Financial\TreasuryBill class instead
     *
     * @param mixed $settlement The Treasury bill's settlement date.
     *                                The Treasury bill's settlement date is the date after the issue date
     *                                    when the Treasury bill is traded to the buyer.
     * @param mixed $maturity The Treasury bill's maturity date.
     *                                The maturity date is the date when the Treasury bill expires.
     * @param int $price The Treasury bill's price per $100 face value
     *
     * @return float|mixed|string
     */
    public static function TBILLYIELD($settlement, $maturity, $price)
    {
        return TreasuryBill::yield($settlement, $maturity, $price);
    }

    /**
     * XIRR.
     *
     * Returns the internal rate of return for a schedule of cash flows that is not necessarily periodic.
     *
     * Excel Function:
     *        =XIRR(values,dates,guess)
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Variable\NonPeriodic::rate()
     *      Use the rate() method in the Financial\CashFlow\Variable\NonPeriodic class instead
     *
     * @param float[] $values     A series of cash flow payments
     *                                The series of values must contain at least one positive value & one negative value
     * @param mixed[] $dates      A series of payment dates
     *                                The first payment date indicates the beginning of the schedule of payments
     *                                All other dates must be later than this date, but they may occur in any order
     * @param float $guess        An optional guess at the expected answer
     *
     * @return float|mixed|string
     */
    public static function XIRR($values, $dates, $guess = 0.1)
    {
        return Financial\CashFlow\Variable\NonPeriodic::rate($values, $dates, $guess);
    }

    /**
     * XNPV.
     *
     * Returns the net present value for a schedule of cash flows that is not necessarily periodic.
     * To calculate the net present value for a series of cash flows that is periodic, use the NPV function.
     *
     * Excel Function:
     *        =XNPV(rate,values,dates)
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\CashFlow\Variable\NonPeriodic::presentValue()
     *      Use the presentValue() method in the Financial\CashFlow\Variable\NonPeriodic class instead
     *
     * @param float $rate the discount rate to apply to the cash flows
     * @param float[] $values A series of cash flows that corresponds to a schedule of payments in dates.
     *                          The first payment is optional and corresponds to a cost or payment that occurs
     *                              at the beginning of the investment.
     *                          If the first value is a cost or payment, it must be a negative value.
     *                             All succeeding payments are discounted based on a 365-day year.
     *                          The series of values must contain at least one positive value and one negative value.
     * @param mixed[] $dates A schedule of payment dates that corresponds to the cash flow payments.
     *                         The first payment date indicates the beginning of the schedule of payments.
     *                         All other dates must be later than this date, but they may occur in any order.
     *
     * @return float|mixed|string
     */
    public static function XNPV($rate, $values, $dates)
    {
        return Financial\CashFlow\Variable\NonPeriodic::presentValue($rate, $values, $dates);
    }

    /**
     * YIELDDISC.
     *
     * Returns the annual yield of a security that pays interest at maturity.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Securities\Yields::yieldDiscounted()
     *      Use the yieldDiscounted() method in the Financial\Securities\Yields class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                              The security's settlement date is the date after the issue date when the security
     *                              is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                            The maturity date is the date when the security expires.
     * @param int $price The security's price per $100 face value
     * @param int $redemption The security's redemption value per $100 face value
     * @param int $basis The type of day count to use.
     *                                        0 or omitted    US (NASD) 30/360
     *                                        1                Actual/actual
     *                                        2                Actual/360
     *                                        3                Actual/365
     *                                        4                European 30/360
     *
     * @return float|string Result, or a string containing an error
     */
    public static function YIELDDISC($settlement, $maturity, $price, $redemption, $basis = 0)
    {
        return Securities\Yields::yieldDiscounted($settlement, $maturity, $price, $redemption, $basis);
    }

    /**
     * YIELDMAT.
     *
     * Returns the annual yield of a security that pays interest at maturity.
     *
     * @Deprecated 1.18.0
     *
     * @see Financial\Securities\Yields::yieldAtMaturity()
     *      Use the yieldAtMaturity() method in the Financial\Securities\Yields class instead
     *
     * @param mixed $settlement The security's settlement date.
     *                              The security's settlement date is the date after the issue date when the security
     *                              is traded to the buyer.
     * @param mixed $maturity The security's maturity date.
     *                            The maturity date is the date when the security expires.
     * @param mixed $issue The security's issue date
     * @param int $rate The security's interest rate at date of issue
     * @param int $price The security's price per $100 face value
     * @param int $basis The type of day count to use.
     *                       0 or omitted    US (NASD) 30/360
     *                       1               Actual/actual
     *                       2               Actual/360
     *                       3               Actual/365
     *                       4               European 30/360
     *
     * @return float|string Result, or a string containing an error
     */
    public static function YIELDMAT($settlement, $maturity, $issue, $rate, $price, $basis = 0)
    {
        return Securities\Yields::yieldAtMaturity($settlement, $maturity, $issue, $rate, $price, $basis);
    }
}