Question

You expect to receive $2,600 upon your graduation and will invest your windfall at an interest rate of 0.33 percent per quarter until the account is worth $4,375. How many years do you have to wait until you reach your target account value?
a. 34.55 years
b. 39.49 years
c. 36.86 years
d. 42.53 years
e. 39.68 years

Answer 1

Answer:

n= 39.49 years

Explanation:

Giving the following information:

Present value (PV)= $2,600

Future value (FV)= $4,375

Interest rate (i)= 0.33/100= 0.0033

To calculate the number of years, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(4,375/2,600) / ln(1.0033)

n= 157.96/4

n= 39.49 years