Please show all work and steps. Thank you! Question 5 In planning for your retir
ID: 2814337 • Letter: P
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Please show all work and steps. Thank you!
Question 5 In planning for your retirement, you would like to withdraw $55,000 per year for 12 years. The first withdrawal will occur 20 years from today. Click here to access the TVM Factor Table Calculator Incorrect 69602 What amount must you invest today if your return is 10% per year? $ Round entry to the nearest dollar. Tolerance is t4. X Incorrect. what amount must you invest today if your return is 15% per year? $ 21035 Round entry to the nearest dollar. Tolerance is 4.Explanation / Answer
Answer a.
Annual Withdrawal = $55,000
Number of Withdrawals = 12
Time to Retirement = 20 years
Annual Interest Rate = 10%
Value of Withdrawals at Retirement = $55,000 * PVA of $1 (10%, 12)
Value of Withdrawals at Retirement = $55,000 * 6.8137
Value of Withdrawals at Retirement = $374,753.50
Amount Invested = $374,753.50 * PV of $1 (10%, 19)
Amount Invested = $374,753.50 * 0.1635
Amount Invested = $61,272
Answer b.
Annual Withdrawal = $55,000
Number of Withdrawals = 12
Time to Retirement = 20 years
Annual Interest Rate = 15%
Value of Withdrawals at Retirement = $55,000 * PVA of $1 (15%, 12)
Value of Withdrawals at Retirement = $55,000 * 5.4206
Value of Withdrawals at Retirement = $298,133.00
Amount Invested = $298,133.00 * PV of $1 (15%, 19)
Amount Invested = $298,133.00 * 0.0703
Amount Invested = $20,959
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