Question

A series of five constant-dollar (or real-dollar) uniform payment of $897.63 is made begining at the end of first year. Assume that the general inflation rate is 18.3% and the market interest rate is 18.3% during this inflationary period.

The equivalent present worth of the series is:_________.

Answer 1

The equivalent present worth of the series is $4,182.21

Step-by-step explanation:

Fix periodic payments for a specific period of time are annuity payment and the payments made at the start of each period is known as advance annuity.

As per given data

Inflation per year = 18.3% / 5 = 3.66%

numbers of period = 5 years

Payment per period = $897.63

Use following formula to calculate the present value of annuity payments

PV of annuity = P x ( 1 - ( 1 + r )^-n / r

Where

P = Payment per period = $897.63

r = rate in of interest = 3.66%

n = numbers of periods = 5 years

Placing values in the formula

Equivalent present worth of the series = $897.63 + $897.63 x ( 1 - ( 1 + 3.66% )^-(5-1) / 3.66% )

Equivalent present worth of the series = $4,182.21