PV function

PV(Rate, NumberOfPeriods, Payment, FutureValue?, Type?) PV(Rate; NumberOfPeriods; Payment; FutureValue?; Type?)

Rate

Number or { Number }

The (fixed) interest rate per period.

NumberOfPeriods

Number or { Number }

The total number of payment periods in the term.

Payment

Number or { Number }

The payment made each period. If set to 0, the value of the futureValue parameter is used instead.

FutureValue

Number or { Number } (optional)

The cash balance to be attained at the end of the term. (With a loan, this would normally be 0 and with a bond, this would be the redemption value.) If omitted, it is assumed to be 0.

Type

Number or { Number } (optional)

0 if payments are made at the end of each period and 1 if payments are made at the start of each period (including a payment at the start of the term). If omitted, it is assumed to be 0.

Returns

Number or { Number }

The present value of a stream of future payments.

Returns the present value of a stream of future payments with a final lump sum.

Examples

PV(5%, 15, 1000, 0, 0)PV(5%; 15; 1000; 0; 0)

Returns roughly $-10,379.66. Let's assume that you have the opportunity to buy an annuity, which would pay you $1,000 at the end of each year for 15 years. You assume a constant interest rate of 5%. On this basis, the annuity is worth roughly $10,379.66 today. The result is negative, because you must pay for the annuity.

PV(5% / 12, 3 * 12, -100, 0, 0)PV(5% / 12; 3 * 12; -100; 0; 0)

Returns roughly $3,336.57. Let's assume that you are considering a loan of $3,500, which would mean paying back $100 at the end of each month for three years. You assume a constant interest rate of 5%. On this basis, the loan is only worth roughly $3,336.57. The monthly payment is negative because you pay this sum, and the result is positive because the loan is paid to you.

PV(7% / 2, 3 * 2, 100, 1000, 0)PV(7% / 2; 3 * 2; 100; 1000; 0)

Returns roughly $-1,346.36. Let's assume that a three-year bond is issued, paying $100 semi-annually and $1,000 on maturity. An annual rate of return of 7% is required (compounded semi-annually). As a result, the bond on issue is valued at roughly $1,346.36. The returned value is negative, as the bond is paid by you.

Partly derived from the OpenOffice.org documentation, licensed under the Apache License 2.0.