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Assume your mother is now 60 years old, plans to retire in 10 years, and expects to live for 25 years after she retires that

Assume your mother is now 60 years old, plans to retire in 10 years, and expects to live for 25 years after she retires that is, until 95. She wants her first retirement payment to have the same purchasing power at the time she retires as $50,000 has today. She wants all of her subsequent retirement payments to be equal to her first retirement payment. (Do not let the retirement payments grow with inflation: Your mother realizes that if inflation occurs the real value of her retirement income will decline year by year after she retires.) Her retirement income will begin the day she retires, 10 years from today, and she will then receive 24 additional annual payments. Inflation is expected to be 4% per year from today forward. She currently has $125,000 saved and expects to earn a return on her savings of 9% per year with annual compounding. To the nearest dollar, how much must she 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 her retirement goal? (Note: Neither the amount he saves nor the amount he withdraws upon retirement is a growing annuity.)

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