You plan to retire at 67 and would like to have enough money in your retirement account for yearly withdrawals of $17,000 over 30 years. Assuming you are able to earn a yearly rate of return of 7% in your retirement account during the 30 years of your retirement what must be the approximate balance in your account when you turn 67?
Note: Please enter your answer to the nearest dollar?
$ 210,954
Balance in retirement account must be the present value of future cash flows which is calculated as follows: | ||||||||||
Present value of cash flows | = | Annual cash flow | * | Present value of annuity of 1 | ||||||
= | $ 17,000 | * | 12.40904 | |||||||
= | $ 210,954 | |||||||||
Working: | ||||||||||
Present value of annuity of 1 | = | (1-(1+i)^-n)/i | Where, | |||||||
= | (1-(1+0.07)^-30)/0.07 | i | = | 7% | ||||||
= | 12.4090412 | n | = | 30 | ||||||
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