Consider a one-year, 5-percent coupon bond with a face value of $100 issued by a Seabass Corporation. There is a 10 percent probability that it will default on its bonds and the risk-free interest rate (i) is 3.0%. If an investor were willing to pay $917.48 for the bond, is that investor risk-neutral or risk averse
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Consider a one-year, 5-percent coupon bond with a face value of $100 issued by a Seabass Corporation. There is a 10 percent probability that it will default on its bonds and the risk-free interest rate (i) is 3.0%. If an investor were willing to pay $917.48 for the bond, is that investor risk-neutral or risk averse
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- Consider a risk-neutral investor which is faced with the following two investments for their $1,000: - a riskless (or risk-free) bond paying a interest rate i=3% - A risky bond, which may pay back with probability 90%, and not pay with probability 10% What is the risk premium x that the risky bond should pay?Consider a coupon bond, period t = 0 price $900, with payments: t=0 1 2 3 50 50 1050 Discount (zero coupon) bonds of 1, 2 and 3 years maturity (all with maturity value of $1000) sell for respectively, 960, 900, 820 dollars. Is this coupon bond properly priced? If not, design an arbitrage argument to profit by the mispricing.The Isabelle Corporation rents prom dresses in its stores across the southern United States. It has just issued a five-year, zero-coupon corporate bond at a price of $62 (assume a $100 face value bond). You have purchased this bond and intend to hold it until maturity. a. What is the yield to maturity of the bond? b. What is the expected return on your investment (expressed as an EAR) if there is no chance of default? c. What is the expected return (expressed as an EAR) if there is a 100% probability of default and you will recover 90% of the face value? d. What is the expected return (expressed as an EAR) if the probability of default is 50% in good times, the likelihood of default is higher in bad times than good times, and, in the case of default, you will recover 90% of the face value? e. For parts (b) through (d), what can you say about the five-year, risk-free interest rate in each case? Note: Assume annual compounding. C a. What is the yield to maturity of the bond? The yield to…
- Consider a $1,000-par-value Bond with the following characteristics: a current market price of $761, 12 years until maturity, and an 8% coupon rate. We want to determine the discount rate that sets the present value of the bond’s expected future cash-flow stream to the bond’s current market price. You are required to determine the discount rate that equates the present value of the bond?Which of the following observations is the most accurate? 34.A callable bond will have a lower required rate of return than a noncallable bond, assuming all other factors remain stable.b. If all other factors were equal, a company would choose to issue noncallable bonds over callable bonds.c. From the perspective of a traditional investor, reinvestment rate risk is higher than interest rate risk.d. If a 10-year, $1,000 par, zero coupon bond was sold at a price that offered buyers a 10% rate of return, and interest rates fell to the point where kd = YTM = 5%, we might be certain that the bond would sell for more than its $1,000 par value.e. If a 10-year, $1,000 par, zero coupon bond was sold at a price that provided borrowers with a 10% rate of return, and interest rates subsequently fell to the point where kd = YTM = 5%, we might be certain that the bond would sell at a discount below its $1,000 par value.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: ? %…
- 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: 10.533 % 7-year Corporate yield: 9.597% Given…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 3% for the next 2 years, 4% for the following 4 years, and 5% 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 0.2%. 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 0.83 % — AAA corporate 1.03 0.20 % AA corporate 1.39 0.56 A corporate 1.75 0.92 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: fill in the blank 7 % 7-year Corporate yield: fill in the blank 8 %Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, A-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 0.83 % — AAA corporate 1.03 0.20 % AA corporate 1.39 0.56 A corporate 1.79 0.96 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: fill in the blank _ % 7-year Corporate yield: fill…
- 9. Interest Rate Risk. Suppose that you are a fixed income portfolio manager at Bourbon Street Capital. You have the following bonds issued by Royal, Inc. and Chartres, LLC in your portfolio and you want to understand the risk profile of your portfolio. Given that both bonds pay semiannual coupons, answer the following questions. (Remember to convert your answer to units of full years.) Coupon Yield to maturity Maturity (years) Royal, Inc. Chartres, LLC. Bond A Bond B 9% 8% 5 $100.00 $104.055 8% 8% 2 Par $100.00 Price $100.00 (a) What is the DV01 (at current prices) for bonds A and B? (b) What are the Macaulay Durations (at current prices) for the two bonds? (c) What are the modified durations for the two bonds? (d) What is the convexity of the two bonds?Use the following zero-coupon bond prices to answer the next questions: Days to Maturity Zero-Coupon Bond Price 90 180 270 360 0.99009 0.97943 0.96525 0.95238 Suppose you are the counterparty for a lender who enters into an FRA to hedge the lending rate on $10m for a 90-day loan commencing on day 270. What positions in zero-coupon bonds would you use to hedge the risk on the FRA?Assume a company plans to make two new bonds issues at the same time. Both will have the same coupon rate and maturity. The firm plans to sell the regular bond at face value, that is, at $1,000 per bond. The second bond will be callable. What must be true about the sale price of this second bond? The price of the bond will have to be lower than $1,000. The price of the bond will have to be higher than $1,000. The price of the bond will have to be equal to $1,000. The price of the bond will be whatever the firm wants it to be. It is not possible to make estimates about the price of the second bond.