Principles of Corporate Finance
13th Edition
ISBN: 9781260465099
Author: BREALEY, Richard
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 3, Problem 28PS
Term-structure theories Look again at the spot interest rates shown in Problem 24. What can you deduce about the one-year spot interest rate in three years if:
- a. The expectations theory of term structure is right?
- b. Investing in long-term bonds carries additional risks?
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d. If you hold the bonds for one year, and interest rates do not change, what total rate of return will you earn, assuming that you pay the market price? Why is this different from the current yield and YTM?
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%…
"Using the expectations theory of the term structure, it is better to invest in one-year bonds, reinvested over two years, than to invest in a two-year bond, if interest rates on one-year bonds are expected to be the
same in both years." Is this statement true, false, or uncertain?
O A. False: These investments are almost of the same profitability.
OB. True: The expected return on one-year bonds, reinvested over two years, is always higher at amount it - it + 1 -
OC. Uncertain: The answer depends on whether we can ignore the (12t)² and it-it+1 values.
Chapter 3 Solutions
Principles of Corporate Finance
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 - Bond prices and yields A 10-year bond is issued...Ch. 3 - Bond prices and yields The following statements...Ch. 3 - Bond prices and yields Construct some simple...Ch. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields A 10-year German government...Ch. 3 - Bond prices and yields A 10-year U.S. Treasury...
Ch. 3 - Bond returns If a bonds yield to maturity does not...Ch. 3 - Bond returns a. An 8%, five-year bond yields 6%....Ch. 3 - Prob. 10PSCh. 3 - Duration True or false? Explain. a....Ch. 3 - Duration Here are the prices of three bonds with...Ch. 3 - Duration Calculate the durations and volatilities...Ch. 3 - Prob. 14PSCh. 3 - Duration Find the spreadsheet for Table 3.4 in...Ch. 3 - Prob. 16PSCh. 3 - Spot interest rates and yields Which comes first...Ch. 3 - Prob. 18PSCh. 3 - Spot interest rates and yields Look again at Table...Ch. 3 - Prob. 20PSCh. 3 - Spot interest rates and yields Assume annual...Ch. 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. 24PSCh. 3 - Measuring term structure The following table shows...Ch. 3 - Term-structure theories The one-year spot interest...Ch. 3 - Term-structure theories Look again at the spot...Ch. 3 - Real interest rates The two-year interest rate is...Ch. 3 - Prob. 30PSCh. 3 - Bond ratings A bonds credit rating provides a...Ch. 3 - Prob. 32PSCh. 3 - Price and spot interest rates Find the arbitrage...Ch. 3 - Prob. 34PSCh. 3 - Prices and spot interest rates What spot interest...Ch. 3 - Prices and spot interest rates Look one more time...
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- The rate of return that you would earn if you bought a bond and held It to its maturity date is called the bond's yield to maturity (YTM). If Interest rates in the economy rise after a bond has been issued, what will happen to the bond's price and to Its YTM? Does the length of time to maturity affect the extent to which a given change in interest rates will affect the bond's price? Briefly explain with necessary numerical data.arrow_forward1. If the term structure is upward sloping and the risk premium is negative, we know with certainty which of the following? i) Investors expect interest rates to rise ii) The two year rate is above the one year rate iii) The forward rate will be above the spot or current rate iv) The expected return from a two year bond is above the expected return from rolling over in two one-year bonds a) I and II only b) I, II, and III only c) II and III only d) I, III, and IV onlyarrow_forwardIn calculating the current price of a bond paying semiannual coupons, one needs to O use double the number of years for the number of payments made. O use the semiannual coupon. O use the semiannual rate as the discount rate. O All of the above needs to be done.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. 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_forwardSuppose 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?arrow_forwardSuppose 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.)arrow_forward
- hi can explain to me how to solve the question step by step ? TQ 1. Assuming that the expectations theory is the correct theory of the term structure, calculate the interest rates in the term structure for maturities of one to five years, and plot the resulting yield curves for the following series of one-year interest rates over the next five years. how would yields curves change if people preferred short term bonds over long-term bonds? a. 5%, 7%, 7%, 7%, 7% b. 5%, 4%, 4%, 4%, 4% 2. If the yield curve suddenly becomes steeper, how would you revise your predictions of interest rates in the future?arrow_forward6. Pure expectations theory The pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. A. Based on the pure expectations theory, is the following statement true or false? The pure expectations theory assumes that a one-year bond purchased today will have the same return as a one-year bond purchased five years from now. False True B. The yield on a one-year Treasury security is 5.8400%, and the two-year Treasury security has a 8.7600% 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.) 14.936% 13.4071% 11.7606% 9.9965% C. Recall that on a one-year Treasury security the yield is 5.8400% and 8.7600% on a two-year Treasury security. Suppose the one-year security does not have a…arrow_forwardWhat do you have to do to the interest rate and years of maturity if a bond pricing problem tells you that interest is compounded quarterly?arrow_forward
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