In: Finance
You feel that you will need $3.7 million in your retirement account and when you reach that amount, you plan to retire. You feel you can earn an APR of 10.2 percent compounded monthly and plan to save $530 per month until you reach your goal. How many years will it be until you reach your goal and retire?
Multiple Choice
48.48 years
40.37 years
37.26 years
42.21 years
34.60 years
Ans 40.37 years
P = | Periodic payments |
r = | rate of interest |
n = | no of years |
Future Value of Annuity = | P ( (1 + r)^n - 1 ) / r |
3700000 = | 530* ((1 + 10.2%/12)^n - 1) / (10.2%/12) |
3700000 = | 515* ((1 + 10.3%/12)^n - 1) / 0.0085 |
n = | 40.37 years |