A zero-coupon, five-year annual corporate bond has a par value of $1000. The estimated risk-neutral probability of default for each year is 3%, and the recovery rate is 30%. Assume that the government bond yield curve is flat at 2%, what is the bond price?
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A zero-coupon, five-year annual corporate bond has a par value of $1000. The estimated risk-neutral probability of default for each year is 3%, and the recovery rate is 30%. Assume that the government bond yield curve is flat at 2%, what is the
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- Suppose that General Motors Acceptance Corporation issued a bond with 10 years until maturity, a face value of $1,000, and a coupon rate of 7.0% (annual payme was 6.0%. Assuming the yield to maturity remains constant, what is the price of the bond immediately after it makes its first coupon payment? After the first coupon payment, the price of the bond will be $ (Round to the nearest cent.) KITSA newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.The bond J is a bond with a coupon rate of 4%. The bond K is a bond with a coupon rate of 10%. Both bonds have a maturity of 8 years, make semi - annual payments, and have a yield to maturity of 9%. If interest rates suddenly increase by 2%, what is the percentage change in the price of these bonds? And if the rates suddenly decrease by 2%? What does this problem teach you about the interest rate risk of low - coupon bonds?
- A 5-year Treasury bond has a 4.9% yield. A 10-year Treasury bond yields 6.1%, and a 10-year corporate bond yields 8.5%. The market expects that inflation will average 1.7% over the next 10 years (IP10 = 1.7%). Assume that there is no maturity risk premium (MRP = 0) and that the annual real risk-free rate, r*, will remain constant over the next 10 years. (Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP = LP = 0.) A 5-year corporate bond has the same default risk premium and liquidity premium as the 10-year corporate bond described. What is the yield on this 5-year corporate bond? Round your answer to one decimal place. %The real risk-free rate is 3 percent. Inflation is expected to average 2 percent a year for the next 3 years, after which the inflation is expected to average 3.5 percent a year. Assume that there is no maturity risk premium. A 7-year corporate bond has a yield of 7.6 percent. Assume that the liquidity premium on the corporate bond is 0.4 percent. What is the default risk premium on the corporate bond?Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 4.0% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 4.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places. Economy Boom Normal Growth Recession Probability 0.35 0.40 0.25 YTM 11.0% 9.0 % 7.0 % Price Capital Gain Coupon Interest HPR % % %
- An insurance company must make payments to a customer of $10 million in one year and $5 million in five years. The yield curve is flat at 10%. Required: a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. What must be the face value and market value of that zero-coupon bond? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. a. Maturity of zero coupon bond b. Face value b. Market value years million millionSuppose the real risk-free rate of interest is r=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1 x (t-1) %, where t is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%, The average inflation during the first 4 years is What is the yield on a 4-year Treasury bond? O 6.75% O 8.90% O 4.30% O 7.05% What is the yield on a 4-year BBB-rated bond? O 7.50% O 7.05 % O 8.45% 8.90% If the yield on a 5-year Treasury bond is 7.38% and the yield on a 6-year Treasury bond is 7.83%, the expected inflation in 6 years is (Hint: Do not round intermediate calculations.)Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.73 % — AAA corporate 0.93 0.20 % AA corporate 1.33 0.60 A corporate 1.75 1.02 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: 6.553%----->correct 7-year Corporate yield: ? %…
- A 5-year Treasury bond has a 4.6% yield. A 10-year Treasury bond yields 6.3%, and a 10-year corporate bond yields 8.85%. The market expects that inflation will average 2.1% over the next 10 years (IP10 = 2.1%). Assume that there is no maturity risk premium (MRP = 0) and that the annual real risk-free rate, r*, will remain constant over the next 10 years. (Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP = LP = 0.) A 5-year corporate bond has the same default risk premium and liquidity premium as the 10-year corporate bond described. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. X Open spreadsheet What is the yield on this 5-year corporate bond? Round your answer to two decimal places. %EXPECTATIONS THEORY Assume that the real risk-free rate is 2% and that the risk premium is zero. If a 1-year Treasury bond yield is 5% and a 2-year Treasury bond yields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yield using a geometric average. What inflation rate is expected during Year 2? Comment on why the average interest rate during the 2-year period differs from the 1-year interest rate expected for Year 2. 6-15 maturityThe real risk-free rate, r*, is 2%. Inflation is expected to average 3.45% a year for the next 4 years, after which time inflation is expected to average 3.9% a year. Assume that there is no maturity risk premium. An 8-year corporate bond has a yield of 10%, which includes a liquidity premium of 0.9%. What is its default risk premium? Do not round intermediate calculations. Round your answer to two decimal places.
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