An analyst believes that the credit risk on a 5-year, 5% annual payment corporate bond can be expressed by a yearly probability of default of 4% and a recovery rate of 35%. Given that the government yield curve is flat at 2%, calculate the credit spread and credit valuation adjustment for the bond using Excel to complete the table below: Time 0 1 2 3 4 5 Exposure Recovery Loss given default POD POS Expected Loss DF PV of Expected Loss
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- A plot of the yields on bonds with different terms to maturity but the same risk, liquidity, and tax considerations is known as O A. a yield curve. B. a risk-structure curve. OC. a term-structure curve. 5- O D. an interest-rate curve. Suppose people expect the interest rate on one-year bonds for each of the next four years to be 3%, 6%, 5%, and 6%. If the expectations theory of the term structure of interest rates is correct, then the implied interest rate on bonds with a maturity of four years is nearest whole number). %. (Round your response to the 2- Refer to the figure on your right. Suppose the expected interest rates on one-year bonds for each of the next four years are 4%, 5%, 6%, and 7%, respectively. 1. 1.) Use the line drawing tool (once) to plot the yield curve generated. 3 Term to Maturity in Years 2.) Use the point drawing tool to locate the interest rates on the next four years. 5. 3- Interest Rate .....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?…This first table describes prevailing market interest rates. Market Data Yield 0.05 Required: Using the yield above and the information contained in the table below, please calculate the price and duration of the bond as well as all necessary steps. (Use cells A5 to B5 from the given information to complete this question.) Time Until Payment Payment Discounted Payment Weight Time × Weight 1.00 $30.00 2.00 $30.00 3.00 $30.00 4.00 $1,030.00 Price: Duration
- You are given the following data: r* = real risk-free rate = 4% Constant inflation premium = 7% Maturity risk premium = 1% Default risk premium for AAA bonds = 3% Liquidity premium for long-term T-bonds = 2% Assume that a highly liquid market does not exist for long-term T-bonds, and the expected rate of inflation is a constant. Given these conditions, the nominal risk-free rate for T-bills is ____, and the rate on long-term Treasury bonds is ____.a. 4%; 14%b. 4%; 15%c. 11%; 14%d. 11%; 15%e. 11%; 17%Assume that the credit risk on a 5 year6 percent annual coupon corporate bond is represented by a 1.5 percent annual probability of default and a recovery rate of 25 percent. Assume that the government yield curve is flat at 2.5 percent. Calculate both the credit spread and credit valuation adjustment for the bond. INCLUDE DETAILED CALCULATION***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 loss
- You are given the following data: Real Risk-Free Rate 4% Constant inflation premium 7% Maturity risk premium 1% Default risk premium for AAA bonds 3% Liquidity premium for long term T bonds 2% Assume that a highly liquid market does not exist for long term bonds, and the expected rate of inflation is constant. Given these conditions: a. nominal risk-free rate for T bills is? b. the rate of the long term treasury bonds is?Quantitative Problem: Today, interest rates on 1-year T-bonds yield 1.7%, interest rates on 2-year T-bonds yield 2.5%, and interest rates on 3-year T-bonds yield 3.4%. a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.Quantitative Problem: Today, interest rates on 1-year T-bonds yield 1.3%, interest rates on 2-year T-bonds yield 2.3%, and interest rates on 3-year T-bonds yield 3.7%. a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. % 1.3 Show All Feedback b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. 2.4 % Show All Feedback c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. 3.8 Show All Feedback
- The following information about bonds A, B, C, and D are given. Assume that bond prices admit noarbitrage opportunities. What is the convexity of Bond D?Cash Flow at the end ofBond Price Year 1 Year 2 Year 3A 91 100 0 0B 86 0 100 0C 78 0 0 100D ? 5 5 105Which one of the following statements concerning debt instruments is correct? O A) A 25-year bond with a coupon rate of 9% and 1 year to maturity has more interest rate risk than a 10-year bond with a 9% coupon issued by the same firm with 1 year to maturity. O B) The coupon rate and yield of an outstanding long-term bond will change over time as economic factors change. O C) For long-term bonds, price sensitivity to a given change in interest rates is greater the longer the maturity of the bond. O D) A bond with 1 year to maturity would have more interest rate risk than a bond with 15 years to maturityConsider two types of bonds: A 10 year to maturity corporate bond and a 10 year to maturity Treasury bond. We know that Corporate Bonds have default risk. Discuss the impact on the markets for these two type of bonds & on the risk premium when there is a FALL in the risk of corporate default? Provide a DISCUSSION of the impact and ILLUSTRATE the impact graphically using two diagrams, one for corporate bonds and one for Treasuries. The diagrams should show the impact on each yield and the impact on the risk premium [label your diagram clearly to illustrate the old premium vs. the new premium]. hint: draw your diagrams side by side, so you can show the risk premiums as done in lecture.