Corporate Finance Plus MyLab Finance with Pearson eText -- Access Card Package (4th Edition) (Berk, DeMarzo & Harford, The Corporate Finance Series)
4th Edition
ISBN: 9780134408897
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 5, Problem 29P
Suppose the term structure of risk-free interest rates is as shown below:
- a. Calculate the
present value of an investment that pays $1000 in two years and $2000 in five years for certain. - b. Calculate the present value of receiving $500 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average of the rate in year 3 and year 5.)
- c. Calculate the present value of receiving $2300 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1? (Round your answer to 2 decimal places.)
The yield curve indicates that the two-year interest rate will be a function of what variables? Include in your answer an explanation of how changes in these variables will affect the two-year interest rate.
Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1?
Chapter 5 Solutions
Corporate Finance Plus MyLab Finance with Pearson eText -- Access Card Package (4th Edition) (Berk, DeMarzo & Harford, The Corporate Finance Series)
Ch. 5.1 - Prob. 1CCCh. 5.1 - Prob. 2CCCh. 5.2 - How can you compute the outstanding balance on a...Ch. 5.2 - What is an amortizing loan?Ch. 5.3 - What is the difference between a nominal and real...Ch. 5.3 - How do investors expectations of future short-term...Ch. 5.4 - Prob. 1CCCh. 5.4 - How do taxes affect the interest earned on an...Ch. 5.5 - What is the opportunity cost of capital?Ch. 5.5 - Why do different interest rates exist, even in a...
Ch. 5 - Your bank is offering you an account that will pay...Ch. 5 - Which do you prefer: a bank account that pays 5%...Ch. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - You are considering moving your money to a new...Ch. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - You can earn 50 in interest on a 1000 deposit for...Ch. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - You have just sold your house for 1,000,000 in...Ch. 5 - Prob. 16PCh. 5 - Your mortgage has 25 years left, and has an APR of...Ch. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - The mortgage on your house is five years old. It...Ch. 5 - You have credit card debt of 25,000 that has an...Ch. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Suppose the term structure of risk-free interest...Ch. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Suppose the current one-year interest rate is 6%....Ch. 5 - Figure 5.4 shows that Johnson and Johnsons...Ch. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Your best friend consults you for investment...Ch. 5 - Suppose you have outstanding debt with an 8%...Ch. 5 - In the summer of 2008, at Heathrow Airport in...Ch. 5 - Your firm is considering the purchase of a new...Ch. 5 - Prob. 41P
Additional Business Textbook Solutions
Find more solutions based on key concepts
The basic features and its uses of floating lien.
Gitman: Principl Manageri Finance_15 (15th Edition) (What's New in Finance)
Define investors’ expected rate of return.
Foundations of Finance (9th Edition) (Pearson Series in Finance)
Number of years.
Principles of Managerial Finance (14th Edition) (Pearson Series in Finance)
(Capital structure theory) Match each of the following definitions to the appropriate terms:
Foundations Of Finance
Discussion Analysis A13-41 Discussion Questions 1. How do managers use the statement of cash flows? 2. Describ...
Managerial Accounting (5th Edition)
What is an action plan? Why are action plans such an important part of market planning? Why is it so important ...
MARKETING:REAL PEOPLE,REAL CHOICES
Knowledge Booster
Similar questions
- Construct a spreadsheet to convert a nominal interest rate compounded m times per year i(m) and convert it to an effective rate jn per 1/n of a year. On the same spreadsheet, also start with an effective rate jm per 1/m of a year and convert it to a nominal rate i(n) compounded n times per year. Use your spreadsheet to solve the following two problems: Given the nominal rate i(12) = 5.700%, find the equivalent effective semi-annual rate. Given the effective semi-annual rate j2 = 2.884%, find the equivalent nominal rate ¡(12).arrow_forwardThe pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Based on the pure expectations theory, is the following statement true or false? Q1. A certificate of deposit (CD) for two years will have the same yield as a CD for one year followed by an investment in another one-year CD after one year. a. True b. False Q2. The yield on a one-year Treasury security is 4.9200%, and the two-year Treasury security has a 5.9040% yield. Assuming that the pure expectations theory is correct, what is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) a. 5.8627% b. 6.8973% c. 7.8629% d. 8.7596% Q3. Recall that on a one-year Treasury security the yield is 4.9200% and 5.9040% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.2%. What is…arrow_forwardSuppose the term structure of risk-free interest rates is as shown below. 1 yr Term 2 yr 3 yr 5 yr 7 yr 10 yr 20 yr Rate (EAR %) 2.08 2.42 2.61 3.24 3.87 4.04 5.07 a. Calculate the present value of an investment that pays $5,000 in two years and $3,000 in five years for certain. b. Calculate the present value of receiving $300 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $2,300 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) a. Calculate the present value of an investment that pays $5,000 in two years and $3,000 in five years for certain, The present value of the investment is $ (Round to the nearest dollar.)arrow_forward
- Suppose the term structure of risk-free interest rates is as shown below: (Click on the following icon in order to copy its contents into a spreadsheet.) Term Rate (EAR %) 1 year 1.94 2 years 2.41 3 years 2.73 5 years 3.38 7 years 3.76 10 years 4.35 20 years 4.94 a. Calculate the present value of an investment that pays $5,000 in two years and $4,000 in five years for certain. b. Calculate the present value of receiving $200 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $2,100 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) a. Calculate the present value of an investment that pays $5,000 in two years and $4,000 in five years for…arrow_forwardIt is given that dP/dt = rP (r being the annually compounded interest rate and P is the amount in the account at any given time). Suppose that an account earns at an annual rate of r percent compounded continuously and a person is drawing an income of H dollars per year withdrawn continuously (impossible, but a modeling assumption). Use phase line analysis to analyze the behavior of the account. Discuss the meaning of any equilibrium points and their stability. If r = 10% (a reasonable rate for long-term stock investments), and H = $10,000, how long should an initial investment of $50,000 be left untouched so that when withdrawals begin the capital is not depleted?arrow_forwardSuppose the term structure of risk-free interest rates is as shown below: 5 yr 7 yr 10 yr 20 yr Term 1 уг 2 yr 3 yr 3.24 3.79 4.09 5.05 2.07 2.46 2.71 Rate (EAR %) a. Calculate the present value of an investment that pays $1,000 in two years and $3,000 in five years for certain. b. Calculate the present value of receiving $100 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $1,800 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.)arrow_forward
- Suppose we observe the following rates: 1R1 = 10%, 1R2 = 12%. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year interest rate expected one year from now, E(2r1)? (Do not round intermediate calculations. Round your answer to 2 decimal places.)arrow_forwardSuppose we observe the following rates: 1R1 = 6.7, 1R2 = 7.4, and E(2r1) = 6.7. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2? Please step by step.arrow_forwardGiven a real rate of interest of 3.4%, an expected inflation premium of 3.6%, and risk premiums for investments A and B of 4.7% and 6.8% respectively, find the following: a. The risk-free rate of return, rf b. The required returns for investments A and B a. The risk-free rate of return is %. (Round to one decimal place.)arrow_forward
- The required return of a risk-free asset can be approximated by The pure time value of money and anticipated inflation premium. а. The 20-year T-bond yield. Ob. The 90-day T-bill rate plus the risk premium. C. The 90-day T-bill rate plus anticipated inflation premium. d.arrow_forwardSuppose the real risk-free rate is 3.80% and the future rate of inflation is expected to be constant at 2.90%. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is valid? Include cross-product terms, i.e., if averaging is required, use the geometric average.arrow_forwardSuppose the term structure of risk-free interest rates is as shown below: 5 yr 7 yr 10 yr 20 yr Term 1 yr 2 yr 3 yr 2.42 2.77 3.31 3.75 4.15 4.93 1.98 Rate (EAR %) What is the present value of an investment that pays $103 at the end of each of years 1, 2, and 3? If you wanted to value this investment correctly using the annuity formula, what discount rate should you use? What is the present value of an investment that pays $103 at the end of each of years 1, 2, and 3? The present value of the investment is $294.08. (Round to the nearest cent.) If you wanted to value this investment correctly using the annuity formula, what discount rate should you use? The discount rate you should use if you want to use the annuity formula is 2.94%. (Round to two decimal places.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,
Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author: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 ProfessorPublisher:McGraw-Hill Education
Essentials Of Investments
Finance
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Mcgraw-hill Education,
Foundations Of Finance
Finance
ISBN:9780134897264
Author:KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:Pearson,
Fundamentals of Financial Management (MindTap Cou...
Finance
ISBN:9781337395250
Author:Eugene F. Brigham, Joel F. Houston
Publisher:Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i...
Finance
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