Credit Risk. A bond's credit rating provides a guide to its risk. Suppose that long-term bonds rated Aa currently offer yields to maturity of 7.5%. A-rated bonds sell at yields of 7.8%. Sup- pose that a 10-year bond with a coupon rate of 7.6% is downgraded by Moody's from an Aa to A rating. (LO6-5) a. Is the bond likely to sell above or below par value before the downgrade? b. Is the bond likely to sell above or below par value after the downgrade?
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- Consider the following bonds: (Click on the following icon in order to copy its contents into a spreadsheet.) Bond A B C D Coupon Rate (annual payments) 0% 0% 6% 12% Maturity (years) 17 11 17 11 a. What is the percentage change in the price of each bond if its yield to maturity falls from 6% to 5%? b. Which of the bonds A through D is the most sensitive to a 1% drop in interest rates from 6% to 5% and why? Which bond is the least sensitive? Provide an intuitive explanation for your answer. Note: Assume annual compounding. a. What is the percentage change in the price of each bond if its yield to maturity falls from 6% to 5%? The percentage change in bond A is %. (Round to two decimal places.) The percentage change in bond B is %. (Round to two decimal places.) The percentage change in bond C is %. (Round to two decimal places.) The percentage change in bond D is%. (Round to two decimal places.) b. Which of the bonds A through D is the most sensitive to a 1% drop in interest rates, from…A bond's credit rating provides a guide to its risk. Long-term bonds rated Aa currently offer yields to maturity of 7.5% A-rated bonds sell at yields of 8% A10-year bond with a coupon rate of 7% is trading at 96.55, which represents a yield of 7.5%. If it is downgraded by Moody's from Aa to A rating, will its price rise or fall? What will the price be before and after?Calculating the risk premium on bonds The text presents a formula where (1+1) = (1-p)(1 +i+x) + p(0) where i is the nominal interest rate on a riskless bond x is the risk premium p is the probability of default (bankruptcy) If the probability of bankruptcy is zero, the rate of interest on the risky bond is When the nominal interest rate for a risky borrower is 8% and the nominal policy rate of interest is 3%, the probability of bankruptcy is %. (Round your response to two decimal places.) When the probability of bankruptcy is 6% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) When the probability of bankruptcy is 11% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) The formula assumes that payment upon default is zero. In fact, it is often positive. How would you change the formula in this case?…
- Consider the following bonds. Bond A B с D Coupon Rate (annual payments) 0.0% 0.0% 3.5% 7.8% Maturity (years) 10 15 15 10 Which of the bonds A to D is most sensitive to a 1% drop in interest rates from 6.7% to 5.7%? Which bond is least sensitive? Provide an intuitive explanation for your answer.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.Which of the following statements regarding bonds and their terms is FALSE? *** OA. When we calculate a bond's yield to maturity by solving the formula, Coupon Coupon Coupon + Face Price of an n-period bond = (1 + )" + + + MA (1+)¹ (1+)² the yield we compute will be a rate per coupon interval. OB. The internal rate of return (IRR) of an investment in a zero-coupon bond is the rate of return that investors will earn on their money if they buy a default - free bond at its current price and hold it to maturity. OC. The yield to maturity of a bond is the discount rate that sets the future value (FV) of the promised bond payments equal to the current market price of the bond. OD. Financial professionals also use the term spot interest rates to refer to the default - free zero- coupon yields.
- Risks of investing in bonds A security with higher risk will have a higher expected return. A bond’s risk level is reflected in its yield, but understanding the different risks involved when investing in bonds is important. The curves on the following graph show the prices of two 10% annual coupon bonds at various interest rates. Q1. Based on the graph, which of the following statements is true? a. Neither bond has any interest rate risk. b. The 10-year bond has more interest rate risk. c. Both bonds have equal interest rate risk. d. The 1-year bond has more interest rate risk. Q2. Which type of bonds offer a higher yield? a. Noncallable bonds b. Callable bonds Q3. Answer the following question based on your understanding of interest rate risk and reinvestment risk. True or False: Assuming all else is equal, the shorter a bond’s maturity, the more its price will change in response to a given change in interest rates.…Which bond is more sensitive to an interest rate change of 1 percent? Bond A: Yield to maturity = 4.00%, maturity = 8 years, coupon = 6% or £60, face value = £1,000. OR Bond B: Yield to maturity = 3.50%, maturity = 5 years, coupon = 7% or £70, face value = £1,000. A. Bond A B. Bond B C. Cannot be determined D. Both are equally sensitive.. Risks of investing in bonds A security with higher risk will have a higher expected return. A bond’s risk level is reflected in its yield, but understanding the different risks involved when investing in bonds is important. The curves on the following graph show the prices of two 10% annual coupon bonds at various interest rates. Based on the graph, which of the following statements is true? Neither bond has any interest rate risk. The 1-year bond has more interest rate risk. Both bonds have equal interest rate risk. The 10-year bond has more interest rate risk. Which type of bonds offer a higher yield? Noncallable bonds Callable bonds Answer the following question based on your understanding of interest rate risk and reinvestment risk. True or False: Assuming all else is equal, the shorter a bond’s maturity, the more its price will change in response to a given change in interest rates. False True
- 3. A. Rank the following financial securities in order of interest rate risk (1 being the lowest and 3 being the highest).a. 10-year traditional coupon bondb. 10-year zero-coupon bondc. 10-year fully amortizing loan B. Rank the following financial securities in order of reinvestment risk (1 being the lowest and 3 being the highest).d. 10-year traditional coupon bonde. 10-year zero-coupon bondf. 10-year fully amortizing loan不 Which of the bonds A to D is most sensitive to a 1%drop in interest rates from Consider the following bonds: 6.5% to 5.5% Which bond is least sensitive? Bond Data table is most sensitive. (Select from the drop-down menu.) (Click on the following icon in order to copy its contents into a spreadsheet.) Bond A BC D Coupon Rate (annual payments) 0.0% 0.0% 4.3% 7.7% Print Done Maturity (years) 10 15 15 109. 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?