### Yield on Zero-Coupon Bonds#### Scenario:Suppose the current yield on a one-year zero-coupon bond is 3%, while the yield on a five-year zero-coupon bond is 5%. 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.)#### Notes:- Assume annual compounding.- It is best not to round in intermediate calculations, so make sure to carry at least four decimal places in intermediate calculations.#### Task:Determine the highest yield (in percentage) that the five-year zero-coupon bond can rise to, such that investing in it for one year remains more profitable compared to investing in the one-year zero-coupon bond.#### Answer Format:The yield should not rise above: [ ]%. (Round to two decimal places.)#### Methodology:1. Understand that a one-year zero-coupon bond at a 3% yield means it would return 1.03 times the initial investment after one year.2. Calculate the comparable cut-off yield for a five-year bond, ensuring that you stay ahead of the one-year bond's yield advantage in the investment horizon of one year.---This exercise helps understanding the impacts of yields on different bonds over varying periods, emphasizing the importance of precise calculations in bond investments.

Calculation of annual yield: Answer: The yield should not rise above is 5.51%. Given information:…

Suppose the current yield on a one-year zero-coupon bond is 3%, while the yield on a five-year zero-coupon bond is 5%. 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.)

Suppose the current yield on a one-year zero-coupon bond is 3%, while the yield on a five-year zero-coupon bond is 5%. 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.)

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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True/False? Explain your choice for each in short: The duration approximation would provide a close estimate of the actual change in price of a bond upon a 3% drop in rates, but not for a 3% increase in rates.
Use the following information to answer the question(s) below. 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. O 67.23%
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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.
You believe that stocks are overvalued so you elect to add bonds to your retirement plan to reduce future potential downside price risk. With cash you've received from the sale of equities, you target two bonds for purchase. What is the fair market value for each of these bonds if the YTM for both is 6.75%? First bond: What is the price of an 8-year 4.95% coupon bond with $1,000 face value paying coupons semiannually? $944.28 $908.15 $890.12 $1,117.72 $875.36
You have just purchased an Australian Treasury Bill, which is a zero-coupon bond security with a positive yield to maturity. The yield to maturity has increased by 0.5% immediately after your purchase. In which direction should the price have moved? NOTE: a zero-coupon bond is one that only pays a single payment (i.e., the principal amount) at maturity. No coupons are paid. A.Upwards B.Cannot determine from available information C.Price will remain unchanged D.Downwards E.None of the other answers
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Suppose you are buying shares of a discount bond that currently cost $10 each. You have $100 of equity and can borrow at 0% interest. Assume the leverage ratio is defined as debt/equity. If your leverage ratio is 4, what is the lowest price the bond can fall to before you become insolvent? Enter your answer as numbers, not words. Round to the nearest cent if needed and do not put a dollar sign in your answer. Lowest price at leverage ratio of 4 =$ Suppose that your leverage ratio is 9 instead of 4. Given this, what is the lowest price the bond can fall to before you become insolvent? Enter your answer as numbers, not words. Round to the nearest cent if needed and do not put a dollar sign in your answer. Lowest price at leverage ratio of 9 = $ Which leverage ratio is associated with a higher risk of insolvency? Enter the number 4 if you think insolvency risk is higher when leverage is 4; enter the number 9 if you think insolvency risk is higher when leverage is 9. Higher insolvency risk…
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%

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