Question

Richard Miller is saving for an Australian vacation in three years. He estimates that he will need $4,930 to cover his airfare and all other expenses for a week-long holiday in Australia. If he can invest his money in an S&P 500 equity index fund that is expected to earn an average annual return of 10.9 percent over the next three years, how much will he have to save every year if he starts saving at the end of this year? (Round factor values to 4 decimal places, e.g. 1.5212 and final answer to 2 decimal places, e.g. 15.25.)

Answer 1

$1476.71

Step-by-step explanation:

Formula = pmt(((1+r)^n)-1)/I

I = nominal interest rate

Pmt = dollar amount

r = interest rate

N = number of period

4930 = pmt(((1 +0.109)^3)-1)/0.109

4930 = pmt(1.109^3)-1/0.109

4930 = pmt(1.3639-1)/0.109

4930 = pmt(0.3638/0.109)

4930 = pmt3.3385

Pmt = 4930/3 3385

= $1476.71

Richard miller would have to save $1476.71