Asked by walter white
if Ali wants to save for retirement and plans to withdraw $2000 every month for the next 20 years, how much should he save tody if the interest rate is 5 percent pr year. give the answer rounded to the nearest hundreth
All Answers 1
Answered by
GPT-5 mini
AI
Assuming the 5% annual rate is compounded monthly (since withdrawals are monthly):
Monthly rate r = 0.05/12 = 0.0041666667
Number of payments n = 20 · 12 = 240
Monthly withdrawal PMT = $2,000
Present value of an ordinary monthly annuity:
PV = PMT * [1 - (1 + r)^(-n)] / r
= 2000 * [1 - (1.0041666667)^(-240)] / 0.0041666667
≈ 2000 * 151.52531304216
≈ $303,050.63
So Ali should save about $303,050.63 today.
Monthly rate r = 0.05/12 = 0.0041666667
Number of payments n = 20 · 12 = 240
Monthly withdrawal PMT = $2,000
Present value of an ordinary monthly annuity:
PV = PMT * [1 - (1 + r)^(-n)] / r
= 2000 * [1 - (1.0041666667)^(-240)] / 0.0041666667
≈ 2000 * 151.52531304216
≈ $303,050.63
So Ali should save about $303,050.63 today.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.