Question

You are planning for retirement 33 years from now. You plan to invest $3,500 per year for the first 6 years, $8,800 per year for the next 11 years, and $14,400 per year for the following 16 years (assume all cash flows occur at the end of each year). If you believe you will earn an effective annual rate of return of 13.7%, what will your retirement investment be worth 33 years from now?

Answer 1

Total FV= $3,433,859.29

Step-by-step explanation:

First, we will calculate the future value of each equal annual deposit. Then, the ending value in 33 years of investment as a whole.

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

A= annual deposit

FV1= {3,500*[(1.137^6) - 1]} / 0.137= $29,648.89

FV2= {8,800*[(1.137^11) - 1]} /0.137= $199,476.80

FV3= {14,400*[(1.137^16) - 1]} /0.137= $714,882.03

Now, the total future value:

FV= PV*(1+i)^n

FV1= 29,648.89*(1.137^27)= 949,600.61

FV2= 199,476.80*(1.137^17)= 1,769,376.65

FV3= 714,882.03

Total FV= $3,433,859.29