A nominal risk-free rate is currently 3.5%. A broker at INV Securities, has given you the following estimates of current interest rate premiums: Inflation Premium: 2%, Liquidity Risk Premium 1.5%. Maturity Risk Premium 3%, and Default Risk Premium 1.5%. Based on these data, what are the rates of short-term corporate bonds? O 7.5% O 6.5% O 8% 8.5%
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- The risk-free rate on long-term Treasury bonds is 6.04%. Assume thatthe market risk premium is 5%. What is the required return on the market? Now use the SML equation to calculate the two companies’ requiredreturns.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?…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 5 105
- 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?The maturity risk premium for Vonda bonds are 3%, default risk premium for Vonda bonds are 4%, and the liquidity risk premium for Vonda bonds are 2%. The real rate of return is 3% and the inflation premium is 3%. What is the nominal rate of return?Assume that the real, risk-free rate of interest is expected to be constant over time at 3 percent, and that the annual yield on a 6-year corporate bond is 8.00 percent, while the annual yield on a 10-year corporate bond is 7.75 percent: you may assume that the default risk and liquidity premium are the same for both bonds. Also assume that the maturity risk premium for all securities can be estimated as MRP, (0.1%) *(t-1), where t is the number of periods until maturity. Finally assume that inflation is expected to be constant at 3 percent for Years 1-6, and then constant at some rate for Years 7-10 (4 years). Given this information, determine what the market must anticipate the average annual rate of inflation will be for Years 7-10. 2.583% O 1979% 2.281% 1.375 % O 1.677 % 4
- Suppose the real risk-free rate is 2.80%, the average future inflation rate is 2.30%, a maturity premium of 0.25% per year to maturity applies, i.e., MRP = 0.25%(t), where t is the number of years to maturity. Suppose also that a liquidity premium of 0.50% and a default risk premium of 2.50% applies to A-rated corporate bonds. What is the difference in the yields on a 5-year A-rated corporate bond and on a 10-year Treasury bond? Here we assume that the pure expectations theory is NOT valid, and disregard any cross-product terms, i.e., if averaging is required, use the arithmetic average. a. 4.25 p.p. b. 2.25 p.p. c. 4.19 p.p. d. 3.00 p.p. e. 1.75 p.p. Please explain process and show calculationsYou are given the following prices and cash flows associated with bonds. CF stands for cash flow. Bond Price Today CF Year 1 CF Year 2 CF Year 3 A 105.185 10 10 110 B 90.371 100 0 0 C 91.784 5 105 0 D X 15 15 115 What is the current price of Bond D as per the no-arbitrage principle? In other words, what is the value of X?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 1-year T-bills are currently earning 1.35 percent. Your broker has determined the following information about economic activity and Moore Corporation bonds: Real risk-free rate = 0.65% Default risk premium = 1.25% Liquidity risk premium = 0.70% Maturity risk premium = 1.85% What is the inflation premium? What is the fair interest rate on Moore Corporation 30-year bonds? ( explain all with proper address ) .
- Suppose the real risk - free rate is 3.50 %, the average future inflation rate is 2.50%, a maturity premium of 0.20% per year to maturity applies, i.e., MRP = 0.20% (t), where t is the number of years to maturity. Suppose also that a liquidity premium of 0.50% and a default risk premium of 2.70% applies to A-rated corporate bonds. What is the difference in the yields on a 5-year A - rated corporate bond and on a 10-year Treasury bond? Here we assume that the pure expectations theory is NOT valid, and disregard any cross - product terms, i.e., if averaging is required, use the arithmetic average. a. 4.90 p. p. b. 3.20 p.p. c. 4.11 p.p. d. 2.70 p.p. e. 2.20 p.p.The following table summarizes prices of various default-free zero-coupon bonds ( $100 face value): Maturity (years) 1 2 3 4 5 {:[" Price (per "$100],[" face value) "]:} $96.33 $91.98 $87.41 $82.53 $77.41 a. Compute the yield to maturity for each bond. b. Plot the zero-coupon yield curve (for the first five years). c. Is the yield curve upward-sloping, downward-sloping, or flat? Note: Assume annual compounding. a. Compute the yield to maturity for each bond. The yield on the 1-year bond is %. (Round to two decimal places.) The yield on the 2-year bond is %. (Round to two decimal places.) The yield on the 3-year bond is %. (Round to two decimal places.) The yield on the 4-year bond is enter your response here%. (Round to two decimal places.) Part 5 The yield on the 5-year bond is enter your response here%. (Round to two decimal places.) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will…Suppose the real risk-free rate is 2.5%, the average future inflation rate is 2.3%, a maturity premium of 0.07% per year to maturity applies, i.e., MRP = 0.07% (t), where t is the years to maturity. Suppose also that a liquidity premium of 1% and a default risk premium of 0.7% applies to A-rated corporate bonds. How much higher would the rate of return be on a 7-year A-rated corporate bond than on a 5-year Treasury bond. Here we assume that the pure expectations theory is NOT valid. O 1.84% O 1.64% O 1.44% O 1.24% 1.04%