Question

You want to have the equivalent of $700,000 (in terms of today's spending power) when you retire in 30 years. Assume a 3% rate of annual inflation. If you can earn 10% annually, how much do you have to invest per year in order to have your full amount of money needed at retirement?(A) 21230.00(B) 85,651.00(C) 7856.00(D) 10,329.00

Answer 1

Answer:

The correct answer is D: $10,329

Explanation:

Giving the following information:

You want to have the equivalent of $700,000 (in terms of today's spending power) when you retire in 30 years. Assume a 3% rate of annual inflation. The interest rate is 10% annual.

First, we need to determine how much is $700,000 in 30 years.

FV= PV*(1+i)^n

FV= 700000*(1.03^30)= $1,699,083.73

Now, we can calculate the annual payment required using the following formula:

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

A= annual payment

Isolating A:

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

A= (1,699,083.73* 0.10)/[(1.10^30)-1]= $10329