Financial Management: Theory & Practice
15th Edition
ISBN: 9781337248006
Author: Eugene F. Brigham; Michael C. Ehrhardt
Publisher: Cengage Learning US
expand_more
expand_more
format_list_bulleted
Videos
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?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
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)
You have decided to start a savings plan for your retirement. You plan to make an annual
deposit of $90,000 each year for the next 8 years. The first deposit to be made one year from
today. The bank pays a nominal interest rate of 6% annually. How much your savings account
with the bank be if you leave the money in the bank to be withdrawn all in 18 years from
today?
You would like to have $
59,000 in
15 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that 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 five years, you will receive $
10,000 and deposit this in the bank toward your goal of $
59,000 at the end of year
15. 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
9 percent on your deposits.)
Question content area bottom
Part 1
a. How much must you deposit annually to accumulate this amount?
$
enter your response here…
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?arrow_forwardYou put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.arrow_forwardUse the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?arrow_forward
- You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityarrow_forwardYou put $600 in the bank for 3 years at 15%. A. If Interest Is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the third year. B. Use the future value of $1 table In Appendix B and verify that your answer is correct.arrow_forwardYou 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.)arrow_forward
- You plan to make annual deposits of $5,000 per year at the beginning of each year into your retirement account. Your goal is to have $800,000 If you expect to get an 8% rate of return, how many years will it take you to reach your goal?arrow_forwardLet’s say that you are saving up for retirement and decide to deposit $3,000 each year for the next 20 years into an account which pays a rate of interest of 8% per year. By how much will your accumulated nest egg vary if you make each of the 20 deposits at the beginning of the year, starting right away, rather than at the end of each of the next 20 years?arrow_forwardYou plan on retiring in 25 years. In order to increase your retirement income, you open a retirement. account today and make a $20,000 deposit. In addition, you will deposit $5,000 every year for the next 25 years. Your plan is to start making annual withdrawals of $50,000 from the account, after you retire. Assuming the account is earning 7% rate of interest, how many years will it take, after you retire, before. the funds in your account are completely exhausted. Please include a written answer in a text box. (Assume annual compounding)arrow_forward
- You plan to retire 35 years from today. In retirement, you will withdraw $200,000 from your retirement account each year for 30 years. You will make the first withdrawal 36 years from today. During your 35-year saving period, you expect to earn a rate of return of 8% compounded monthly. During your 30-year retirement period, you expect to earn a rate of return of 5% compounded annually. How much will you need to deposit at the end of each month, making the first deposit 1 month from now, in order to meet your retirement goal? You should first compute the amount that you will need to in the account when you retire That will provide you with the data to calculate the monthly investment required during your savings years. ANSWERarrow_forwardYou want to be able to withdraw $25,000 from your account each year for 30 years after you retire. You expect to retire in 20 years. If your account earns 8% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?arrow_forwardSuppose you wish to retire forty years from today. You determine that you need RM50,000 per year once you retire, with the first retirement funds withdrawn one year from the day you retire. You estimate that you will earn 6% per year on your retirement funds and that you will need funds up to 25 years after retirement. a) Calculate the amount you must deposit in an account today so that you have enough funds for retirement b) Calculate the amount you must deposit each year, starting one year from today, so that you have enough funds for retirement.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT- Principles of Accounting Volume 2AccountingISBN:9781947172609Author:OpenStaxPublisher:OpenStax College
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Principles of Accounting Volume 2
Accounting
ISBN:9781947172609
Author:OpenStax
Publisher:OpenStax College
How To Calculate The Present Value of an Annuity; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=RU-osjAs6hE;License: Standard Youtube License