Corporate Finance: A Focused Approach (mindtap Course List)
7th Edition
ISBN: 9781337909747
Author: Michael C. Ehrhardt, Eugene F. Brigham
Publisher: South-Western College Pub
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Textbook Question
Chapter 4, Problem 34P
You want to accumulate $1 million by your retirement date, which is 25 years from now. You will make 25 deposits in your bank, with the first occurring today. The bank pays 8% interest, compounded annually. You expect to receive annual raises of 3%, which will offset inflation, and you will let the amount you deposit each year also grow by 3% (i.e., your second deposit will be 3% greater than your first, the third will be 3% greater than the second, etc.). How much must your first deposit be if you are to meet your goal?
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Part 1
a. How much must you deposit annually to accumulate this amount?
$
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You would like to have $78,000 in 12 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 9% 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 the lump-sum deposit be? (Assume you can earn 9% on this deposit)
c. At the end of year 5, you will receive $10,000 and deposit it in the bank in an effort to reach your goal of $78,000 at the end of year 12. In addition to the lump-sum deposit, how much must you invest in 12 equal annual deposits to reach your goal? (Again, assume you can earn 9% on this deposit)
Your first deposit of $5,000 will be made today. You also plan to make four additional deposits at the beginning of each of the next four years. Your plan is to increase your deposits by 10% a year. (That is, you plan to deposit $5,500 at t = 1, and $6,050 at t = 2, etc.) Your deposits earn a 14% return.
What is the present value today of all the deposits you have made?
Chapter 4 Solutions
Corporate Finance: A Focused Approach (mindtap Course List)
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - An annuity is defined as a series of payments of a...Ch. 4 - If a firms earnings per share grew from 1 to 2...Ch. 4 - Prob. 5QCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5P
Ch. 4 - Prob. 6PCh. 4 - An investment will pay 100 at the end of each of...Ch. 4 - You want to buy a car, and a local bank will lend...Ch. 4 - Find the following values, using the equations,...Ch. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Find the future value of the following annuities....Ch. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Universal Bank pays 7% interest, compounded...Ch. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - A mortgage company offers to lend you 85,000; the...Ch. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Your company is planning to borrow 1 million on a...Ch. 4 - It is now January 1. You plan to make a total of 5...Ch. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - You want to accumulate 1 million by your...Ch. 4 - Prob. 1MCCh. 4 - Prob. 2MCCh. 4 - Prob. 3MCCh. 4 - Prob. 4MCCh. 4 - Prob. 5MCCh. 4 - Prob. 6MCCh. 4 - Prob. 7MCCh. 4 - Prob. 8MCCh. 4 - Prob. 9MCCh. 4 - Prob. 10MCCh. 4 - Prob. 11MCCh. 4 - Prob. 12MCCh. 4 - Prob. 13MC
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