An engineering graduate received a job offer with a promise of a 4.75 percent annual raise in her salary. She would like to have three million dollars in a retirement account. by the time she retires from work after 25 years. The bank manager estimates she can expect to receive a 3.65% nominal annual interest, compounded monthly, throughout the 25 years. She is planning to make annual deposits to this account, but wishes to make her first deposit at the end of the first year, with the lowest possible amount and increase it at the same 4.75% rate each year. Assuming once-a-year, end-of-year deposits, showing all your calculations, determine how much her first and her last deposits should be? Avoid rounding up values to maintain accuracy of results.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Problem 8
An engineering graduate received a job offer with a promise of a 4.75 percent annual
raise in her salary. She would like to have three million dollars in a retirement account
by the time she retires from work after 25 years. The bank manager estimates she can
expect to receive a 3.65% nominal annual interest, compounded monthly, throughout
the 25 years. She is planning to make annual deposits to this account, but wishes to
make her first deposit at the end of the first year, with the lowest possible amount and
increase it at the same 4.75% rate each year. Assuming once-a-year, end-of-year
deposits, showing all your calculations, determine how much her first and her last
deposits should be?
Avoid rounding up values to maintain accuracy of results.
Transcribed Image Text:Problem 8 An engineering graduate received a job offer with a promise of a 4.75 percent annual raise in her salary. She would like to have three million dollars in a retirement account by the time she retires from work after 25 years. The bank manager estimates she can expect to receive a 3.65% nominal annual interest, compounded monthly, throughout the 25 years. She is planning to make annual deposits to this account, but wishes to make her first deposit at the end of the first year, with the lowest possible amount and increase it at the same 4.75% rate each year. Assuming once-a-year, end-of-year deposits, showing all your calculations, determine how much her first and her last deposits should be? Avoid rounding up values to maintain accuracy of results.
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