You have just won the lottery and will receive $560,000 in one year. You will receive payments for 26 years, and the payments will increase 4 percent per year. If the appropriate discount rate is 11 percent, what is the present value of your winnings

Respuesta :

Answer:

PV= $3,634,716.01

Explanation:

Giving the following information:

Cash flow= $560,000

Number of years= 26

Interest rate= 11%

growth rate= 4%

First, we will determine the final value. We will include the growth rate to the interest rate. We need to use the following formula.

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

A= annual cash

FV= {560,000*[(1.15^26)-1]}/ 0.15

FV= $137,598,703.2

Now, the present value:

PV= FV/(1+i){ n

PV= 137,598,703.2/(1.15^26)

PV= $3,634,716.01

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