Excel Online Structured Activity: Required Annuity Payments

Assume that your father is now $50$ years old, plans to retire in $10$ years, and expects to live for $25$ years after he retires $-$ that is$,$ until age $85.$ He wants his first retirement payment to have the same purchasing power at the time he retires as $$35,000$ has today. He wants all his subsequent retirement payments to be equal to his first retirement payment. $($Do not let the retirement payments grow with inflation: Your father realizes that if inflation occurs the real value of his retirement income will decline year by year after he retires$).$ His retirement income will begin the day he retires, $10$ years from today, and he will then receive $24$ additional annual payments. Inflation is expected to be $6\%$ per year from today forward. He currently has $$150,000$ saved and expects to earn a return on his savings of $10\%$ per year with annual compounding.

The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below.

Open spreadsheet

How much must he save during each of the next $10$ years $($with equal deposits being made at the end of each year, beginning a year from today$)$ to meet his retirement goal? $($Note: Neither the amount he saves nor the amount he withdraws upon retirement is a growing annuity.$)$ Do not round intermediate calculations. Round your answer to the nearest dollar.

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