Essentials of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
9th Edition
ISBN: 9781259277214
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 5, Problem 25QP
Calculating
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Calculate how much you will have to save each month between now and then to have $300,000 in your retirement account when you retire at 65, assuming a rate of return of 5% per year? (Show your final calculations for saving at retirement, saving periods, interest rate, and saving deposit/month)
Choose the appropriate formula type for answering the following question:
Suppose you want to have $410,500 for retirement in 15 years. Your account earns 6.5% interest. How much would you need to deposit in the account each month?
Annuity
Compound Interest
Loan/Payout Annuity
Suppose you wish to retire forty years from today. You determine that you need $50,000 per year once you retire, with the first retirement funds withdrawn one year from the day you retire.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. Use the PV of an ordinary annuity due formula.
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.
Chapter 5 Solutions
Essentials of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 5.1 - Prob. 5.1ACQCh. 5.1 - Prob. 5.1BCQCh. 5.1 - Prob. 5.1CCQCh. 5.2 - In general, what is the present value of an...Ch. 5.2 - Prob. 5.2BCQCh. 5.3 - If an interest rate is given as 12 percent,...Ch. 5.3 - What is an APR? What is an EAR? Are they the same...Ch. 5.3 - In general, what is the relationship between a...Ch. 5.4 - What is a pure discount loan?Ch. 5.4 - What does it mean to amortize a loan?
Ch. 5 - Prob. 5.1CCh. 5 - Prob. 5.2CCh. 5 - Prob. 5.3CCh. 5 - Prob. 5.4CCh. 5 - Prob. 1CTCRCh. 5 - Prob. 2CTCRCh. 5 - Prob. 3CTCRCh. 5 - Annuity Present Values. Suppose you won the...Ch. 5 - Prob. 5CTCRCh. 5 - Prob. 6CTCRCh. 5 - Prob. 7CTCRCh. 5 - Time Value. On subsidized Stafford loans, a common...Ch. 5 - LO3 5.9Time Value. In words, how would you go...Ch. 5 - Time Value. Eligibility for a subsidized Stafford...Ch. 5 - Prob. 1QPCh. 5 - Present Value and Multiple Cash Flows. Investment...Ch. 5 - Future Value and Multiple Cash Flows. Booker,...Ch. 5 - Calculating Annuity Present Values. An investment...Ch. 5 - Calculating Annuity Cash Flows. For each of the...Ch. 5 - Calculating Annuity Values. For each of the...Ch. 5 - Prob. 7QPCh. 5 - Calculating Annuity Values. For each of the...Ch. 5 - Calculating Annuity Values. If you deposit 5,000...Ch. 5 - Prob. 10QPCh. 5 - Prob. 11QPCh. 5 - Calculating EAR. Find the EAR in each of the...Ch. 5 - Calculating APR. Find the APR, or stated rate, in...Ch. 5 - Calculating EAR. First National Bank charges 10.1...Ch. 5 - Prob. 15QPCh. 5 - Calculating Future Values. What is the future...Ch. 5 - Prob. 17QPCh. 5 - Calculating Present Values. An investment will pay...Ch. 5 - EAR versus APR. Ricky Ripovs Pawn Shop charges an...Ch. 5 - Calculating Loan Payments. You want to buy a new...Ch. 5 - Prob. 21QPCh. 5 - Prob. 22QPCh. 5 - Prob. 23QPCh. 5 - Calculating Annuity Future Values. You are to make...Ch. 5 - Calculating Annuity Future Values. In the previous...Ch. 5 - Calculating Annuity Present Values. Beginning...Ch. 5 - Prob. 27QPCh. 5 - Prob. 28QPCh. 5 - Simple Interest versus Compound Interest. First...Ch. 5 - Calculating Annuities Due. You want to buy a new...Ch. 5 - Calculating Interest Expense. You receive a credit...Ch. 5 - Calculating the Number of Periods. You are saving...Ch. 5 - Calculating Future Values. You have an investment...Ch. 5 - Prob. 34QPCh. 5 - Prob. 35QPCh. 5 - Calculating Present Value of Annuities. Peter...Ch. 5 - Prob. 37QPCh. 5 - Prob. 38QPCh. 5 - Calculating the Number of Payments. Youre prepared...Ch. 5 - Prob. 40QPCh. 5 - Prob. 41QPCh. 5 - Prob. 42QPCh. 5 - EAR versus APR. You have just purchased a new...Ch. 5 - Annuity Values. You are planning your retirement...Ch. 5 - Prob. 45QPCh. 5 - Prob. 46QPCh. 5 - Prob. 47QPCh. 5 - Calculating Present Values. A 6-year annuity of...Ch. 5 - Prob. 49QPCh. 5 - Prob. 50QPCh. 5 - Comparing Cash Flow Streams. You have your choice...Ch. 5 - LO1 52. Calculating Present Value of a Perpetuity....Ch. 5 - Calculating EAR. A local finance company quotes an...Ch. 5 - Prob. 54QPCh. 5 - Prob. 55QPCh. 5 - Amortization with Equal Principal Payments. Rework...Ch. 5 - Discount Interest Loans. This question illustrates...Ch. 5 - Prob. 58QPCh. 5 - Prob. 59QPCh. 5 - Prob. 60QPCh. 5 - Prob. 1CCCh. 5 - SS Airs Mortgage Mark Sexton and Todd Story, the...Ch. 5 - SS Airs Mortgage Mark Sexton and Todd Story, the...Ch. 5 - SS Airs Mortgage Mark Sexton and Todd Story, the...Ch. 5 - SS Airs Mortgage Mark Sexton and Todd Story, the...Ch. 5 - SS Airs Mortgage Mark Sexton and Todd Story, the...
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- Calculating interest earned and future value of savings account. If you put 6,000 in a savings account that pays interest at the rate of 3 percent, compounded annually, how much will you have in five years? (Hint: Use the future value formula.) How much interest will you earn during the five years? If you put 6,000 each year into a savings account that pays interest at the rate of 4 percent a year, how much would you have after five years?arrow_forwardUse 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 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_forward
- b) Suppose you begin saving for your retirement by depositing $2,000 per year in an IRA. If the interest rate is 7.5%, how much will you have in 40 years if the payments are made: at the end of the year (ordinary annuity)? at the beginning of the year (annuity due)?arrow_forwardIt is estimated that you will pay about $80,000 into the Social Security system (FICA) over your 40-year work span. For simplicity, assume this is an annuity of $2,000 per year, starting with your 26th birthday and continuing through your 65th birthday. Solve, a. What is the future equivalent worth of your Social Security savings when you retire at age 65 if the government’s interest rate is 6% per year? b. What annual withdrawal can you make if you expect to live 20 years in retirement? Let i= 6% per year.arrow_forwardHow much must you deposit each year into your retirement account starting now and continuing through year 10 if you want to be able to withdraw $80,000 per year forever, beginning 31 years from now? Assume the account earns interest at 15% per year. What is the answer, and how can I get it?arrow_forward
- Suppose that starting at age 25, you make steady contributions to a retirement account (with initial balance 0). What should your yearly contribution be if you want to have a balance of $815,000 after 40 years? Assume your account will earn 7% interest, compounded continuously. (Round your answer to the nearest dollar.)arrow_forwardTo supplement your retirement, you estimate that you need to accumulate $290,000 exactly 41 years from today. You plan to make equal, end-of-year deposits into an account paying 8% annual interest. a. How large must the annual deposits be to create the $290,000 fund by the end of 41 years? b. If you can afford to deposit only $800 per year into the account, how much will you have accumulated in 41 years?arrow_forwardThinking ahead to retirement, assume you will be able to earn a 10 percent return on your investments. If you have saved $400,000 and expect to live 16 more years when you retire, calculate the annual annuity you will be able to receive for 16 years. (Enter your answer as a positive number rounded to 2 decimal places.) Annuityarrow_forward
- Suppose you want to save $1,000,000 for a retirement fund in 35 years. You anticipate making regular, end-of-month deposits in an annuity that pays 9% compounded monthly. How much should you deposit each month? Use this formula: How much of the $1,000,000 retirement fund comes from deposits and how much comes from interest?arrow_forwardAfter retirement, you expect to live for 25 years. You would like to have a $95,000 income each year. The annual interest rate is 9 percent per year. Required: Calculate the amount of savings you have in your retirement account to receive this income. A) Assume that the payments start on the day of your retirement. B) Assume that the payments start one year after the retirement.arrow_forwardTo supplement your planned retirement, you estimate that you need to accumulate R 220, 000 in 42 years. You plan to make equal annual end of year deposits into an account paying 8% annual interest. a. How large must the annual deposit be to create the R 220,000 fund in 42 years? b. If you can afford to deposit only R600 per year into the account, how much will you have accumulated by the end of the forty-second year?arrow_forward
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