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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%)
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