Question

You have just received a windfall from an investment you made in a​ friend's business. He will be paying you at the end of this​ year, at the end of the following​ year, and at the end of the year after that​ (three years from​ today). The interest rate is per year. a. What is the present value of your​ windfall? b. What is the future value of your windfall in three years​ (on the date of the last​ payment)?

Answer 1

Answer:

a. $80,318.70

b. $97,568.57

Explanation:

Here is the full question :

You have just received a windfall from an investment you made in a​ friend's business. She will be paying you $ 15 comma 555 at the end of this​ year, $ 31 comma 110 at the end of next​ year, and $ 46 comma 665 at the end of the year after that​ (three years from​ today). The interest rate is 6.7 % per year. a. What is the present value of your​ windfall? b. What is the future value of your windfall in three years​ (on the date of the last​ payment)?

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow in year 1 = $ 15,555

Cash flow in year 2 = $31,110

Cash flow in year 3 =  $ 46,665

I = 6.7%

Present value = $80,318.70

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

$80,318.70(1.067)^3 = $97,568.57