(Complex present value) You would like to have $44,000 in 11 years. To accumulate this amount, you plan to deposit each year an equal sum in the bank, which will earn 9 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 9 percent on this deposit.) c. At the end of 6 years you will receive $11,000 and deposit this in the bank toward your goal of $44,000 at the end of 11 years. In addition to this deposit, how much must you deposit in equal annual deposits to reach your goal? (Again assume you can earn 9 percent on this deposit.)

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section: Chapter Questions
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(Complex present value) You would like to have $44,000 in 11 years. To accumulate this amount, you plan to deposit
each year an equal sum in the bank, which will earn 9 percent interest compounded annually. Your first payment will
be made at the end of the year.
a. How much must you deposit annually to accumulate this amount?
b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this
lump-sum deposit be? (Assume you can earn 9 percent on this deposit.)
c. At the end of 6 years you will receive $11,000 and deposit this in the bank toward your goal of $44,000 at the end
of 11 years. In addition to this deposit, how much must you deposit in equal annual deposits to reach your goal?
(Again assume you can earn 9 percent on this deposit.)
a. How much must you deposit annually to accumulate $44,000 in 11 years?
Transcribed Image Text:(Complex present value) You would like to have $44,000 in 11 years. To accumulate this amount, you plan to deposit each year an equal sum in the bank, which will earn 9 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 9 percent on this deposit.) c. At the end of 6 years you will receive $11,000 and deposit this in the bank toward your goal of $44,000 at the end of 11 years. In addition to this deposit, how much must you deposit in equal annual deposits to reach your goal? (Again assume you can earn 9 percent on this deposit.) a. How much must you deposit annually to accumulate $44,000 in 11 years?
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