Financial Management: Theory & Practice
16th Edition
ISBN: 9781337909730
Author: Brigham
Publisher: Cengage
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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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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?
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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
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Question content area bottom
Part 1
a. How much must you deposit annually to accumulate this amount?
$
enter your response here…
You would like to have
$53,000
in
13
years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn
6
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
6
percent on this deposit.)
c. At the end of five years, you will receive
$20,000
and deposit this in the bank toward your goal of
$53,000
at the end of year
13.
In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn
6
percent on your deposits.)
Chapter 4 Solutions
Financial Management: Theory & Practice
Ch. 4 - Prob. 2QCh. 4 - An annuity is defined as a series of payments of a...Ch. 4 - If a firm’s earnings per share grew from $1 to $2...Ch. 4 - Prob. 5QCh. 4 - If you deposit 10,000 in a bank account that pays...Ch. 4 - What is the present value of a security that will...Ch. 4 - Your parents will retire in 18 years. They...Ch. 4 - Prob. 4PCh. 4 - You have $42,180.53 in a brokerage account, and...Ch. 4 - What is the future value of a 7%, 5-year ordinary...
Ch. 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 - Use both the TVM equations and a financial...Ch. 4 - Find the future value of the following annuities....Ch. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Find the interest rate (or rates of return) in...Ch. 4 - Prob. 16PCh. 4 - Find the present value of 500 due in the future...Ch. 4 - Prob. 18PCh. 4 - Universal Bank pays 7% interest, compounded...Ch. 4 - Sales for Hanebury Corporation’s just-ended year...Ch. 4 - Washington-Pacific (W-P) invested $4 million to...Ch. 4 - A mortgage company offers to lend you 85,000; the...Ch. 4 - To complete your last year in business school and...Ch. 4 - Prob. 25PCh. 4 - You need to accumulate 10,000. To do so, you plan...Ch. 4 - Prob. 27PCh. 4 - Assume that you inherited some money. A friend of...Ch. 4 - Assume that your aunt sold her house on December...Ch. 4 - Your company is planning to borrow $1 million on a...Ch. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - You want to accumulate $1 million by your...Ch. 4 - Prob. 1MCCh. 4 - Prob. 2MCCh. 4 - We sometimes need to find out how long it will...Ch. 4 - If you want an investment to double in 3 years,...Ch. 4 - Whats the difference between an ordinary annuity...Ch. 4 - Prob. 6MCCh. 4 - Prob. 7MCCh. 4 - Define the stated (quoted) or nominal rate INOM as...Ch. 4 - Will the effective annual rate ever be equal to...Ch. 4 - (1) Construct an amortization schedule for a...Ch. 4 - Prob. 11MCCh. 4 - (1) What is the value at the end of Year 3 of the...Ch. 4 - Suppose someone offered to sell you a note calling...
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