Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 3, Problem 13PS
Term-structure theories The one-year spot interest rate is r1 = 5% and the two-year rate is r2 = 6%. If the expectations theory is correct, what is the expected one-year interest rate in one year’s time?
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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?
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.)
a) Suppose that the current one-year spot rate and expected one-year T-bill rates
over the following three years (i.e., years 2, and 3 respectively) are as follows:
1R1 = 3.1%, E(201) = 4.20%, E(3r₁) = 6.6%.
Using the unbiased expectation theory, calculate the current long-term rates for one-
two and three-year-maturity Treasury securities and plot the current yield curve.
Please show each step of your calculation.
b) What are the sources of funding for commercial banks? Please also classify the
sources of funding and briefly describe each category.
c) The unbiased expectation theory and liquidity premium theory are two important
theories to explain the shape of yield curve. Discuss and compare the two theories.
Chapter 3 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 3 - (PRICE) In February 2009, Treasury 8.5s of 2020...Ch. 3 - (YLD) On the same day, Treasury 3.5s of 2018 were...Ch. 3 - (DURATION) What was the duration of the Treasury...Ch. 3 - (MDURATION) What was the modified duration of the...Ch. 3 - Prob. 1PSCh. 3 - Bond prices and yields The following statements...Ch. 3 - Prob. 3PSCh. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields Construct some simple...Ch. 3 - Spot interest rates and yields Which comes first...
Ch. 3 - Prob. 7PSCh. 3 - Spot interest rates and yields Assume annual...Ch. 3 - Prob. 9PSCh. 3 - Prob. 10PSCh. 3 - Duration True or false? Explain. a....Ch. 3 - Duration Calculate the durations and volatilities...Ch. 3 - Term-structure theories The one-year spot interest...Ch. 3 - Real interest rates The two-year interest rate is...Ch. 3 - Duration Here are the prices of three bonds with...Ch. 3 - Prob. 16PSCh. 3 - Prob. 17PSCh. 3 - Spot interest rates and yields A 6% six-year bond...Ch. 3 - Spot interest rates and yields Is the yield on...Ch. 3 - Prob. 20PSCh. 3 - Prob. 21PSCh. 3 - Duration Find the spreadsheet for Table 3.4 in...Ch. 3 - Prob. 23PSCh. 3 - Prob. 25PSCh. 3 - Prob. 26PSCh. 3 - Prob. 27PSCh. 3 - Prob. 28PSCh. 3 - Prob. 29PSCh. 3 - Prices and yields If a bonds yield to maturity...Ch. 3 - Prob. 31PSCh. 3 - Price and spot interest rates Find the arbitrage...Ch. 3 - Prob. 33PSCh. 3 - Prices and spot interest rates What spot interest...Ch. 3 - Prices and spot interest rates Look one more time...
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- 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_forwardThe 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.arrow_forwardThe two-year interest rate is 10.4%, and the expected annual inflation rate is 5.2%. a. What is the expected real interest rate? b-1. If the expected rate of inflation suddenly rises to 7.2%, what does Fisher's theory say about how the real interest rate will change? b-2. If the expected rate of inflation suddenly rises to 7.2%, what will be the new nominal rate? Complete this question by entering your answers in the tabs below. Req A Req B1 Req B2 What is the expected real interest rate? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Expected real interest rate %arrow_forward
- 20. Suppose the interest rate on a 1-year T-bill is 5.5% and that on a 2-year T-bill is 7.5%. Assuming the pure expectations theory is correct (and MRP = 0), what is the market's forecast for 1-year rates 1 year from now?arrow_forwardConsider the following spot interest rates for maturities of one, two, three, and four years. r₁ = 4.3% 2 = 4.9% √3 = 5.6% r4 = 6.4% What are the following forward rates, where fkn refers to a forward rate beginning in k year(s) and extending for n year(s)? f2,1 = ? f3,1 = ? f2,2 = ?arrow_forward1. Suppose the current one-year rate (one-year spot rate) and expected one-year T-bill rates over the following three year (i.e. years 2, 3, and 4, respectively) are as follows: 。R₁ = 6%, E (R₂) =7% E(₂R)= 7.5% E(R)=7.85% Using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year maturity Treasury securities. Plot the resulting yield curve.arrow_forward
- The one-year spot rate is currently 4%; the one-year spot rate one year from now will be 3%; and the one- year spot rate two years from now will be 6%. Under the unbiased expectations theory, what must today's three-year spot rate be? Suppose the three-year spot rate is actually 3.75%, how could you take advantage of this? Explain.arrow_forwardIf the one-year and two-year interest rates are 6.5% and 7% respectively, what should be the forward rate for year 2 (according to the expectations theory)? 7% 7.5% 7.75% 7.25% 6.75%. 6.5%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. Q. Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market’s estimate of the three-year Treasury rate two years from now? (Note: Do not round your intermediate calculations.) a. 6.45% b. 6.69% c. 5.46% d. 6.61%arrow_forward
- The 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? 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 True False The yield on a one-year Treasury security is 5.6100%, and the two-year Treasury security has a 8.4200% 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? 14.3637% 9.6135% 11.3100% 12.8934% Recall that on a one-year Treasury security the yield is 5.6100% and 8.4200% 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 0.2000%. What is the market's estimate of the one-year Treasury rate one year from now? 12.4260%…arrow_forwardSuppose we observe the three-year Treasury security rate (183) to be 4.9 percent, the expected one-year rate next year-E(2r1)-to be 5.4 percent, and the expected one-year rate the following year-El3r1)-to be 6.4 percent. If the unblased expectations theory of the term structure of interest rates holds, what is the one-year Treasury security rate? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16))arrow_forwardSuppose we observe the three-year Treasury security rate (1R3) to be 4.9 percent, the expected one-year rate next year-E(21)-to be 5.4 percent, and the expected one-year rate the following year-E(301)-to be 6.4 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the one-year Treasury security rate? (Do not round intermediate calculations. Round your percentage answer to 2 decimal places. (e.g., 32.16)) One-year Treasury security rate %arrow_forward
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