Manuals/calci/PV

PV (Rate,NoPaymentPeriods,Payment,FutureValue,Type)

• is the interest rate.
• is the total number of payment periods.
• is the amount of the payment made each period.
• is the future value.
• is the type.
• PV(), returns the present value of an investment.

Description

• This function gives the present value for an investment.
• It is based on an interest rate and a constant payment schedule.
• This function calculates the present value of an investment, which is the total amount that a series of future payments is worth presently.
• In  ,  is the rate of interest for the period.
• Suppose we are taking a loan for 8 percent annual interest rate and paying the amount in monthly, then the   value is 8%/12.
• So we have to enter the   value as 8%/12 or 0.6667% or 0.006667 in to the formula as the rate.
•   is the total number of payment periods in an annuity.
•   is the payment made each period in the annuity.
• Normally, the payment is set over the life of the annuity and includes principal plus interest without any other fees.
•   is the future value of an investment or loan (the value you want to achieve at the end of all periods) when we are omitting the value of   ,then it is assumed to be 0.
•   is the number 0 or 1 which is specifies the time to make a payment during the period.
• when we are not giving the value of  , then it is assumed to be 0.
Type value Explanation
0 Payments are due at the end of the period
1 Payments are due at the beginning of the period
• The present value can be calculated using the following formula:

• where   is the future value,   is the rate of interest,   is the number of periods.
• Also the result is coming in a negative sign ,it is indicating the money that we would pay, an outgoing cash flow.
• The interest rate is dividing by 12 to get a monthly rate.
• The years the money is paid out is multiplied by 12 to get the number of payments.

Examples

1. =PV(9.2%/12,15*12,10000,0) =-974470.2640587
2. =PV(5%/12,25*12,25000,0) = -4276501.176022
3. =PV(5%/12,25*12,25000,1) = -4276501.46327

PV