Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
11th Edition
ISBN: 9780077861759
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Question
Chapter 4, Problem 55QP
Summary Introduction
To compute: The percentage of salary that can be saved.
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You have 30 years left until retirement and want to retire with $1.5 million. Your salary is paid annually, and will receive $70,000 at the end of the current year. Your salary will increase at 3 percent per year, and you can earn an 10 percent return on the money you invest. If you save a constant percentage of your salary, what percentage of your salary must you save each year?
When you retire, you plan to draw $50,000 per year from your retirement accounts, which will be earning 6% per year.
Find PV Annuity: If you wish to do that for 10 years starting one year after you retire, what does the balance in your retirement account have to be when you retire?
Find PV Annuity: If the account will be earning 3% per year, and you wish to do that for 20 years starting on the day you retire, what does the balance in your retirement account have to be when you retire?
You are trying to decide how much to save for retirement. Assume you plan to save $5,000 per year with the first investment made one year from now. You think you can earn 10.0% per year
on your investments and you plan to retire in 43 years, immediately after making your last $5,000 investment.
a. How much will you have in your retirement account on the day you retire?
b. If, instead of investing $5,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump
sum need to be?
c. If you hope to live for 20 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 20th
withdrawal (assume your savings will continue to earn 10.0% in retirement)?
d. If, instead, you decide to withdraw $300,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…
Chapter 4 Solutions
Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 4 - Prob. 1CQCh. 4 - Prob. 2CQCh. 4 - Prob. 3CQCh. 4 - Prob. 4CQCh. 4 - Time Value On subsidized Stafford loans, a common...Ch. 4 - Prob. 6CQCh. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - Prob. 10CQ
Ch. 4 - Simple Interest versus Compound Interest First...Ch. 4 - Prob. 2QPCh. 4 - Prob. 3QPCh. 4 - Prob. 4QPCh. 4 - Prob. 5QPCh. 4 - Prob. 6QPCh. 4 - Calculating Present Values Imprudential, Inc., has...Ch. 4 - Calculating Rates of Return Although appealing to...Ch. 4 - Perpetuities An investor purchasing a British...Ch. 4 - Prob. 10QPCh. 4 - Prob. 11QPCh. 4 - Prob. 12QPCh. 4 - Calculating Annuity Present Value An investment...Ch. 4 - Calculating Perpetuity Values The Perpetual Life...Ch. 4 - Calculating EAR Find the EAR in each of the...Ch. 4 - Calculating APR Find the APR, in each of the...Ch. 4 - Calculating EAR First National Bank charges 10.3...Ch. 4 - Interest Rates Well-known financial writer Andrew...Ch. 4 - Calculating Number of Periods One of your...Ch. 4 - Prob. 20QPCh. 4 - Prob. 21QPCh. 4 - Simple Interest versus Compound Interest First...Ch. 4 - Calculating Annuities You are planning to save for...Ch. 4 - Prob. 24QPCh. 4 - Prob. 25QPCh. 4 - Prob. 26QPCh. 4 - Prob. 27QPCh. 4 - Annuity Present Values What is the present value...Ch. 4 - Annuity Present Values What is the value today of...Ch. 4 - Balloon Payments Audrey Sanborn has just arranged...Ch. 4 - Prob. 31QPCh. 4 - Prob. 32QPCh. 4 - Growing Annuity Southern California Publishing...Ch. 4 - Growing Annuity Your job pays you only once a year...Ch. 4 - Prob. 35QPCh. 4 - Prob. 36QPCh. 4 - Prob. 37QPCh. 4 - Calculating Loan Payments You need a 30-year,...Ch. 4 - Prob. 39QPCh. 4 - Calculating Present Values You just won the TVM...Ch. 4 - Prob. 41QPCh. 4 - Prob. 42QPCh. 4 - Prob. 43QPCh. 4 - Prob. 44QPCh. 4 - Prob. 45QPCh. 4 - Prob. 46QPCh. 4 - Prob. 47QPCh. 4 - Prob. 48QPCh. 4 - Prob. 49QPCh. 4 - Prob. 50QPCh. 4 - Calculating Annuities Due You want to lease a set...Ch. 4 - Prob. 52QPCh. 4 - Prob. 53QPCh. 4 - Prob. 54QPCh. 4 - Prob. 55QPCh. 4 - Prob. 56QPCh. 4 - Prob. 57QPCh. 4 - Prob. 58QPCh. 4 - Prob. 59QPCh. 4 - Prob. 60QPCh. 4 - Prob. 61QPCh. 4 - Prob. 62QPCh. 4 - Prob. 63QPCh. 4 - Prob. 64QPCh. 4 - Calculating the Number of Periods Your Christmas...Ch. 4 - Prob. 66QPCh. 4 - Prob. 67QPCh. 4 - Prob. 68QPCh. 4 - Prob. 69QPCh. 4 - Perpetual Cash Flows What is the value of an...Ch. 4 - Prob. 71QPCh. 4 - Prob. 72QPCh. 4 - Prob. 73QPCh. 4 - Prob. 74QPCh. 4 - Rule or 69.3 A corollary to the Rule of 72 is the...Ch. 4 - Prob. 1MCCh. 4 - Prob. 2MCCh. 4 - Prob. 3MCCh. 4 - Prob. 4MCCh. 4 - Prob. 5MCCh. 4 - Prob. 6MC
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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_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_forwardHow much must be invested now to receive $50,000 for 8 years if the first $50,000 is received in one year and the rate is 10%?arrow_forward
- 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 want to retire in 25 years. You currently have $150,000, and think you will need $1.3 million at retirement. What annual interest rate must you earn to reach your goal, assuming you don't save any additional funds? 9.02% What annual interest rate must you earn if you can contribute an additional $7,500 per year? 5.54% What annual interest rate must you earn if you can contribute an additional $15,000 per year? 3.69% You want to retire in 35 years. You currently have $250,000, and think you will need $2 million at retirement. What annual interest rate must you earn to reach your goal, assuming you don't save any additional funds? 6.12% What annual interest rate must you earn if you can contribute an additional $5,000 per year? 4.52% What annual interest rate must you earn if you can contribute an additional $13,000 per year? 3.02%arrow_forwardWhen you retire, you wish to have $1 million in your retirement account. Currently, you have $100,000 in the account. If you can generate an annualized return of 12% from your investment, compounded monthly, how many years do you think it will take to have $1 million in the account? 11 years 231 years 19 years 53 yearsarrow_forward
- Assume you currently have $220,000 that you are ready to invest for retirement. In addition, you plan to save $6,000 per year at the end of each year for years 1-10 $25,000 at the end of year 11 $9,000 per year at the end of each year for years 12-20 Assuming you earn 9.1% as an annual rate of return, how much will you have 20 years from today when you retire?arrow_forwardYou are trying to decide how much to save for retirement. Assume you plan to save $4,000 per year with the first investment made one year from now. You think you can earn 10.5% per year on your investments and you plan to retire in 36 years, immediately after making your last $4,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $4,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 28 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 28th withdrawal (assume your savings will continue to earn 10.5% in retirement)? d. If, instead, you decide to withdraw $270,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…arrow_forwardUrgentarrow_forward
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