Finance.Pv Method

FinancePv Method

Returns the net present value of a stream of equal periodic cash flows, which are subject to a given discount rate.

Namespace: Imsl.Finance
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0

Syntax

public static double Pv(
	double rate,
	int nper,
	double pmt,
	double fv,
	FinancePeriod time
)

Public Shared Function Pv ( 
	rate As Double,
	nper As Integer,
	pmt As Double,
	fv As Double,
	time As FinancePeriod
) As Double

public:
static double Pv(
	double rate, 
	int nper, 
	double pmt, 
	double fv, 
	FinancePeriod time
)

static member Pv : 
        rate : float * 
        nper : int * 
        pmt : float * 
        fv : float * 
        time : FinancePeriod -> float

Parameters

rate: Type: SystemDouble
A double which specifies the interest rate per period.
nper: Type: SystemInt32
A int which specifies the number of periods.
pmt: Type: SystemDouble
A double which specifies the payment made each period.
fv: Type: SystemDouble
A double which specifies the annuity's value after the last payment.
time: Type: Imsl.FinanceFinancePeriod
The time in a Period when the payment is made (either AtEnd or AtBeginning).

Return Value

Type: Double
A double which specifies the present value of the investment.

Remarks

It can be found by solving the following:

If ${\it rate} = 0$ ,

${\it pv} + {\it pmt} \times {\it nper} + {\it fv} = 0$

If ${\it rate} \ne 0$ ,

${\it pv}(1 + {\it rate})^{\it nper} + {\it pmt} \left[ {1 + {\it rate} \left( {\it period} \right)} \right] {{(1 + {\it rate})^{\it nper} - 1} \over {\it rate}} + {\it fv} = 0$

Reference

Finance Class

Imsl.Finance Namespace

Other Resources

Example