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 27PS
a)
Summary Introduction
To discuss: One-year spot interest rate in 3 years if the expectation theory of term structure is right.
b)
Summary Introduction
To discuss: The additional risks associated with the investment in long term bonds.
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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?
I (Interest rates) 1. Consider a bank account paying interest rate R2 = 4% with semi-annual compounding frequency. What is the equivalent rate R1 with yearly compounding frequency? What is the equivalent rate Rc with continuous compounding? 2. Explain briefly (in words) what are the potential pitfalls of using the Internal Rate of Return (IRR) for the evaluation of investment projects. 3. Consider the following two bonds: bond (A) is a zero-coupon bond with maturity TA and duration DA = TA; bond (B) is a coupon bond with maturity TB > TA and duration DB = TA. Which of the two bonds has a greater convexity? (Justify your answer.)
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%…
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- 1. Consider two bonds with a similar credit rating and pay the same coupon rate per annum. The terms to maturity for Bond A and Bond B are 5 years and 10 years respectively. If inflation rate is expected to increase in the near future and therefore leads to an increase in interest rate, what is the effect on the bond prices? Which bond is likely to experience a larger effect due to the increase in interest rate? Briefly explain your answer.arrow_forwardAfter recently receiving a bonus, you have decided to add some bonds to your investment portfolio. You have narrowed your choice down to the following bonds (assume semiannual payments): a. Using the PRICE function, calculate the intrinsic value of each bond. Is either bond currently undervalued? How much accrued interest would you have to pay for each bond? b. Using the YIELD function, calculate the yield to maturity of each bond using the current market prices. c. Calculate the duration and modified duration of each bond.d. Which bond would you rather own if you expect market rates to fall by 2% across the maturity spectrum? What if rates will rise by 2%? Why?arrow_forwardhi 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_forward
- 1. 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_forward"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.arrow_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
- 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.)arrow_forwardAfter recently receiving a bonus, you have decided to add some bonds to your investment portfolio. You have narrowed your choice down to the following bonds (assume semiannual payments): Which bond would you rather own if you expect market rates to fall by 2% across the maturity spectrum? What if rates will rise by 2%? Why?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_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_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_forwardThe 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_forward
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