You are currently 37 years old, and you plan to retire in 30 years. You’ve estim
ID: 2793895 • Letter: Y
Question
You are currently 37 years old, and you plan to retire in 30 years. You’ve estimated that you need to accumulate an additional $1 million by the time you retire in order to fund your retirement income shortfall.
a). If you invest your funds to earn 6 percent per year, how much do you need to save each month? (Round answer to 2 decimal places, e.g. 52.75.)
b). If you invest your funds and they will earn 8 percent per year, how much do you need to save each month? (Round answer to 2 decimal places, e.g. 52.75.)
Explanation / Answer
a)
b)
Saving per month (P) FVA÷([(1+r)^n-1]÷r) Here, 1 Interest rate per annum 6.00% 2 Number of years 30 3 Number of payments per per annum 12 1÷3 Interest rate per period ( r) 0.50% 2×3 Number of periods (n) 360 Future value of annuity (FVA) $ 1,000,000 Saving per month (P) $ 995.51 1000000/(((1+0.50%)^360-1)/0.50%)Related Questions
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