Question

Your younger sister is just starting high school, and 4 years from today she should be entering college. Your father plans to start a college fund for her, beginning today. He will invest $6,000 per year in a mutual fund, beginning today, and he expects to earn an annual return of 9%. What is the expected value of the college fund when your sister enters college

Answer 1

Answer:

$29,908.26

Explanation:

The formula for calculating future value:

FV = P (1 + r) nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

Present value value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow from year 0 to 3 = 6000

I = 9%

PV = 21,187.77

FV = 21,187.77 X (1,09)^4

To find the PV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute