b. What is the probability that neither
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An analyst estimates that the probability of default on a seven-year AA-rated bond is 0.06, while that on a seven-year A-rated bond is 0.13. The probability that they will both default is 0.04.
a. What is the probability that at least one of the bonds defaults? (Round your answer to 2 decimal places.)
b. What is the probability that neither the seven-year AA-rated bond nor the seven-year A-rated bond defaults? (Round your answer to 2 decimal places.)
c. Given that the seven-year AA-rated bond defaults, what is the probability that the seven-year A-rated bond also defaults? (Round your answer to 2 decimal places.)
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- Consider an A-rated bond and a B-rated bond. Assume that the one-year probabilities of default for the A- and B-rated bonds are 1% and 3%, respectively, and that default correlation between the two bonds is 20%. What is the joint probability of default of the two bonds?Assume that the risk free rate is equal to 0.04. The corporate bond rate for a risky bond is 0.11. Assume a recovery rate of 0.33. All rates in this problem are stated as decimals. Using the precise calculation formula, calculate λ , the probability of default. Round your answer to three decimal places, and state as a decimal. Please answer fast i give you upvote.Suppose the returns on long-term government bonds are normally distributed. Assume long-term government bonds have a mean return of 6.1 percent and a standard deviation of 9.8 percent. What is the approximate probability that your return on these bonds will be less than −3.7 percent in a given year? Use the NORMDIST function in Excel® to answer this question. Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. What range of returns would you expect to see 95 percent of the time? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. What range would you expect to see 99 percent of the time? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter…
- 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 or 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, short-term securities are exposed to higher reinvestment risk than long-term securities.Suppose the current interest rate on a one-year bond is 2% and the current interest rate on a two-year bond is 4%. The term premium on a two-year bond is 1%. According to the expectations hypothesis, what interest rate should we expect on a one-year bond next year? Answer as a percentage to one decimal place and do not include symbols (e.g. $, %, commas) in your answer. Answer:You are given the following details of three default free government bonds. Assume that one can take long (buy) and short (sell) positions in these bonds. CF stands for cash flow. Bond Current price Today CF Year 1 CF Year 2 A 95.24 100 0 B 89.85 0 100 C X 70 1070 Assuming that the current market prices of Bond A and Bond B are correct, then, what should be the current theoretical (fundamental) price of Bond C, as per the no-arbitrage principle, i.e., what is the value of X? [Do not round-off any numbers. If at all you want to round-off a number, round it off at 8 decimal places.]
- еВook Problem Walk-Through Last year Carson Industries issued a 10-year, 13% semiannual coupon bond at its par value of $1,000. Currently, the bond can be called in 6 years at a price of $1,065 and it sells for $1,200. a. What are the bond's nominal yield to maturity and its nominal yield to call? Do not round intermediate calculations. Round your answers to two decimal places. YTM: % YTC: % Would an investor be more likely to earn the YTM or the YTC? -Select- -Select- ent yield and to Table 7.1) Round your answer to two decimal places. b. Since the YTM is above the YTC, the bond is likely to be called. Since the YTC is above the YTM, the bond is likely to be called. Since the YTM is above the YTC, the bond is not likely to be called. Since the YTC is above the YTM, the bond is not likely to be called. Since the coupon rate on the bond has declined, the bond is not likely to be called. I. If the bond is called, the capital gains yield will remain the same but the current yield will be…can you may this calculations for each of my bonds?. For each of your bonds, calculate expected defavvult percent loss as = default probability* (1 - recovery rate ). You will need to use the default rates and recovery rates that match each bond's rating. 4. Calculate the overall expected loss to your portfolio as the weighted average of the expected default percent lossWhich of the following observations is the most accurate? 48. a. A 1-year bond would have a higher (that is, better) bond ranking than a 20-year bond if all other factors are similar.b. The price danger (interest rate risk) of a 20-year bond with semiannual interest payments is greater than that of a 5-year bond with semiannual interest payments.c. Reinvestment rate danger is greater for 10-year zero coupon bonds than for 10-year 10% coupon bonds.d. You would hope to gain the yield to maturity if a callable bond was trading at a premium.e. Both a and b are right statements.
- 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?…There are 5 bonds in a credit default swap .15 basket. The probability of default for each of the bonds is 4%. The probability of any one bond defaulting is completely independent of what happens to the other bonds in the basket. What is the probability that exactly one bond defaults?(final 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.
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