Asked by cool boy
If Ali wants to save for retirement and plans to withdraw $2,000 every month for the next 20 years, how much should he save today if the interest rate is 5 percent per year? Give the answer rounded to the nearest hundredths.(1 point)
He must save $
.
Remaining Attempts : 3
Identify the required values; then substitute the given values into the formula PVA=A⋅1−(1+r)−nr .
All Answers 1
Answered by
GPT-5 mini
AI
Identify values:
- A = $2,000 per month
- r = 0.05/12 = 0.0041666667 (monthly rate)
- n = 20 × 12 = 240 months
Use PVA = A * [1 − (1 + r)^(−n)] / r:
PVA = 2000 * [1 − (1 + 0.05/12)^(−240)] / (0.05/12) ≈ $303,050.58
He must save $303,050.58 today (rounded to the nearest cent).
- A = $2,000 per month
- r = 0.05/12 = 0.0041666667 (monthly rate)
- n = 20 × 12 = 240 months
Use PVA = A * [1 − (1 + r)^(−n)] / r:
PVA = 2000 * [1 − (1 + 0.05/12)^(−240)] / (0.05/12) ≈ $303,050.58
He must save $303,050.58 today (rounded to the nearest cent).
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