Question

You have just won the lottery and will receive $530,000 in one year. You will receive payments for 25 years, and the payments will increase 4 percent per year. If the appropriate discount rate is 10 percent, what is the present value of your winnings

Answer 1

Present value= $3,642,651.54

Step-by-step explanation:

Giving the following information:

You have just won the lottery and will receive $530,000 in one year. You will receive payments for 25 years, and the payments will increase by 4 percent per year. The appropriate discount rate is 10 percent.

First, we need to calculate the final value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual payment= 530,000

i= 0.04 + 0.10= 0.14

n= 25

FV= {530,000*[(1.14^25)-1]}/0.14

FV= 96,391,538.43

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 96,391,538.43/ (1.14^25)

PV= $3,642,651.54