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- Suppose there is a large probability that L will default on its debt. For the purpose of this example, assume that the value of Ls operations is 4 million (the value of its debt plus equity). Assume also that its debt consists of 1-year, zero coupon bonds with a face value of 2 million. Finally, assume that Ls volatility, , is 0.60 and that the risk-free rate rRF is 6%.Bond Valuation and Changes in Maturity and Required Returns Suppose Hillard Manufacturing sold an issue of bonds with a 10-year maturity, a 1,000 par value, a 10% coupon rate, and semiannual interest payments. a. Two years after the bonds were issued, the going rate of interest on bonds such as these fell to 6%. At what price would the bonds sell? b. Suppose that 2 years after the initial offering, the going interest rate had risen to 12%. At what price would the bonds sell? c. Suppose that 2 years after the issue date (as in Part a) interest rates fell to 6%. Suppose further that the interest rate remained at 6% for the next 8 years. What would happen to the price of the bonds over time?Taussig Corp.'s bonds currently sell for $1,090. They have a 7.35% annual coupon rate and a 10-year maturity, but they can be called in 3 years at $1,039.50. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. Under these conditions, what rate of return should an investor expect to earn if he or she purchases these bonds? a. 5.67% b. 2.64% c. 5.28% d. 2.83% e. 4.76%
- Show complete solution. A corporate bond (subject to default risk) matures in three years, pays one coupon per year, at rate 9% of a face value 1000, and trades at 960.The term structure for risk-free rates is flat at 7% (annual compounding). A bank offers an insurance against default, for a price of 200. This insurance covers both future coupons and the repayment of whole face value (for the sake of simplicity, we do not consider partial default). How much is the bond price?Bond J has a coupon rate of 5.3 percent. Bond K has a coupon rate of 15.3 percent. Both bonds have eleven years to maturity, a par value of $1,000, and a YTM of 11.6 percent, and both make semiannual payments. a. If interest rates suddenly rise by 3 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If interest rates suddenly fall by 3 percent instead, what is the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)Gilligan Co.'s bonds currently sell for $1,230. They have a 6.75% annual coupon rate and a 15-year maturity, and are callable in 6 years at $1,067.50. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. Under these conditions, what rate of return should an investor expect to earn if he or she purchases these bonds, the YTC or the YTM?
- Bond J has a coupon rate of 5.8 percent. Bond K has a coupon rate of 15.8 percent. Both bonds have eleven years to maturity, a par value of $1,000, and a YTM of 12.6 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Bill J Bill K a percentage change in price b percentage change in priceBond J has a coupon of 4 percent. Bond K has a coupon of 8 percent. Both bonds have 10 years to maturity and have a YTM of 7 percent. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. If interest rates suddenly fall by 2 percent, what is the percentage price change of these bonds? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.Bond J has a coupon rate of 4.2 percent. Bond K has a coupon rate of 14.2 percent. Both bonds have ten years to maturity, a par value of $1,000, and a YTM of 9.4 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Bond J Bond K a percentage change in price % % b percentage change in price % %
- A particular security’s equilibrium rate of return is 8 percent. For all securities, the inflation risk premium is 1.75 percent and the real interest rate is 3.5 percent. The security’s liquidity risk premium is .25 percent and maturity risk premium is .85 percent. The security has no special covenants. Calculate the security’s default risk premium. You are considering an investment in 30-year bonds issued by Moore Corporation. The bonds have no special covenants.The Wall Street Journal reports that one-year T-bills are currently earning 3.25 percent. Your broker has determined the following information about economic activity and Moore Corporation bonds: Real interest rate " 2.25% Default risk premium " 1.15% Liquidity risk premium " 0.50% Maturity risk premium " 1.75% What is the inflation premium? What is the fair interest rate on Moore Corporation 30-year bonds?Tom Corp.'s bonds currently sell for $880. They have a 6.5% semiannual coupon rate and a 15-year maturity, but they can be called in 5 years at $1,067.50. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. Under these conditions, what rate of return (annual) should an investor expect to earn if he or she purchases these bonds?Both Bond Bill and Bond Ted have 9.4 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 5 years to maturity, whereas Bond Ted has 22 years to maturity. Both bonds have a par value of 1,000. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If rates were to suddenly fall by 2 percent instead, what would be the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Bond Bill Bond ted a percentage in change b percentage in change
