Question

In: Finance

1. On the day you retire, you will have $389,900 in your retirement savings. You expect...

1. On the day you retire, you will have $389,900 in your retirement savings. You expect to earn 4.5 percent, compounded monthly, and live 24 more years. How much can you withdraw from your savings each month during your retirement?

A. $754.16

B. $751.35

C. $2,208.01

D. $2,072.00

E. $2,216.28

2.

You are retired, have $264,500 in your savings, withdraw $2,000 each month, and earn 4.5 percent, compounded monthly. How long will it be until you run out of money?

13.67 years
15.25 years
22.08 years
183.02 years
18.78 years

Solutions

Expert Solution

1)

Withdaw in each month (P) PVA÷([1-(1÷(1+r)^n)]÷r)
Here,
A Interest rate per annum 4.50%
B Number of years                                                                     24
C Number of compoundings per per annum                                                                     12
A÷C Interest rate per period ( r) 0.38%
B×C Number of periods (n) 288
Present value (PVA) $                                                 389,900.00
Withdaw in each month (P) $               2,216.28
389900÷((1-(1÷(1+0.38%)^288))÷0.38%)

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