Suppose that a default-risk-free zero-coupon bond with a face value of $100 and 5 years to maturity is currently trading at $60. Another bond with the same face value and time to maturity but at risk of defaulting sells for $30. (If this risky bond defaults, there is a 70% chance that 30% of the face value will be recovered and a 30% chance that 50% of the face value will be recovered.) Also, suppose the spread between the expected zero rates of the two bonds is 5% pa. What must be the default probability of the second bond (risky bond)? Choose the closest answer. O 47.66% 58.82% 37.32% None of the other answers are correct. 67.23%

Suppose that a default-risk-free zero-coupon bond with a face value of $100 and 5 years to maturity is currently trading at $60. Another bond with the same face value and time to maturity but at risk of defaulting sells for $30. (If this risky bond defaults, there is a 70% chance that 30% of the face value will be recovered and a 30% chance that 50% of the face value will be recovered.) Also, suppose the spread between the expected zero rates of the two bonds is 5% pa. What must be the default probability of the second bond (risky bond)? Choose the closest answer. O 47.66% 58.82% 37.32% None of the other answers are correct. 67.23%

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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A particular security's default risk premium is 3 percent. For all securities, the inflation risk premium is 2.75 percent and the real risk - free rate is 2.90 percent. The security's liquidity risk premium is 0.25 percent and maturity risk premium is 0.85 percent. The security has no special covenants. Calculate the security's equilibrium rate of return.
Suppose the current yield on a one-year zero-coupon bond is 4%, while the yield on a five-year zero-coupon bond is 6%. Neither bond has any risk of default. Suppose you plan to invest for one year. You will earn more over the year by investing in the five-year bond as long as its yield does not rise above what level? (Assume $1 face value bond.) Hint: It is best not to round intermediate calculations-make sure to carry at least four decimal places in intermediate calculations. Note: Assume annual compounding. The yield should not rise above %. (Round to two decimal places.)
The current zero-coupon yield curve for risk-free bonds is as follows What is the price per $100 face value of a four-year, zero-coupon, risk-free bond? The price per $100 face value of the four-year, zero-coupon, risk-free bond is $_______(Round to the nearest cent.)
Which of the following statements is correct assuming same market rates for all maturities (flat yield curve)? e a Extendible bonds allow bond issuer to extend the maturity date. O b. Callable bonds give the bond issuer an option to call the bond back before the maturity date at a predetermined price. Oc. When the market yield is equal to a bond's stated coupon rate, the bond's current yield is greater than its coupon yield. Od. The cash price plus the accrued interest on the bond is the quoted price of the bond. Current yield is the ratio of annual coupon payment divided by the par value. o e.
A 20-year bond has a coupon rate of 8 percent, and another bond of the same maturity has a coupon rate of 15 percent. If the bonds are alike in all other respects, which will have the greater relative market price decline if interest rates increase sharply? Why?
Longer maturity bonds have low Blank 1 risk but high Blank 2 risk, while higher coupon bonds have a lower level of Blank 3 risk and a higher level of Blank 4 risk. To account for the effects related to both a bond's maturity and coupon, many analysts focus on a measure called duration, which is the Blank 5 of the time it takes to receive each of the bond's cash flows.
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A zero-coupon bond with a market-beta of 0.2 promises to pay $1,000 in the first year. However, it may default and pay nothing with probability 0.09. If the risk-free rate is 4%, the equity premium is 6.1%, and the CAPM is correct, what would be the bond price today?
A particular security's default risk premium is 4 percent. For all securities, the inflation risk premium is 3.65 percent and the real risk- free rate is 2.50 percent. The security's liquidity risk premium is 0.35 percent and maturity risk premium is 0.95 percent. The security has no special covenants. Calculate the security's equilibrium rate of return. (Round your answer to 2 decimal places.) > Answer is complete but not entirely correct. Rate of return 8.65%
Select all of those that are correct: A) prices of zero coupon bonds increase as the time to maturity decreases. B) prices of zero coupon bonds increase as the time to maturity increases. C) prices of zero coupon bonds converge to the bond's face value as maturity approaches. D) prior to maturity, the price of a zero coupon bond is less than the bond's face value
There are four similar coupon bonds.If the only differences are their maturities and YTMs.which one would have the most volatile market price when there is a fluctuation in the market interest rate?Please carefully explain. 7-year maturity with a 8% YTM 15-year maturity with a 4% YTM 7-year maturity with a 6% YTM 15-year maturity witth a 2% YTM
Which of the following statements is the most accurate? 43. a. Long-term cash flows are riskier than short-term cash flows.Furthermore, a 20-year bond that is callable after 5 years would have a shorter projected duration, if not none at all, than a noncallable 20-year bond with equal maturity. As a result, if all other features are equal, investors can demand a lower rate of return on the callable bond than on the noncallable bond. b. A noncallable 20-year bond would have an average life that is equivalent to or better than a callable 20-year bond with otherwise similar characteristics. Furthermore, the longer a bond's lifespan, the higher the interest rate danger it poses to buyers. As a result, while all other factors remain stable, callable bonds subject borrowers to fewer interest rate risk than noncallable bonds. c. Both a and b are right statements. d. None of the above claims are true.

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