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??ou are planning to save for retirement over the next 30 years
??ou are planning to save for retirement over the next 30 years. you will invest $750 per month in a stock account and $350 per month in a bond account. The return of the stock account is expected to be 9.5 percent, and the bond account will earn 5.5 percent. When you retire, you will combine your money into an account with an annual return of 6.5 percent. Assume the returns are expressed as APRs.
How much can you withdraw each month from your account assuming a 25-year withdrawal period? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Expert Solution
Value of the investments at the time of retirement
=750* (((1+ (9.5%/ 12))^ (30* 12)- 1)/ (9.5%/ 12))+ 350* (((1+ (5.5%/ 12))^ (30* 12)- 1)/ (5.5%/ 12))
= 1844540.54
Withdrawal amount is as follows;
= 1844540.54 /((1-(1+(6.5%/12))^(-25*12))/(6.5%/12))
= $12,454.47
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