5-year Treasury bonds yield 3.6%. The inflation premium (IP) is 1.9%, and the maturity risk premium (MRP) on 5-year T-bonds is 0.5%. There is no liquidity premium on these bonds. What is the real risk-free rate, r*?
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5-year Treasury bonds yield 3.6%. The inflation premium (IP) is 1.9%, and the maturity risk premium (MRP) on 5-year T-bonds is 0.5%. There is no liquidity premium on these bonds. What is the real risk-free rate, r*?
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- 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?…5-year Treasury bonds yield 3.6%. The inflation premium (IP) is 1.9%, and the maturity risk premium (MRP) on 5-year bonds is 0.4%. What is the real risk-free rate, r*?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?
- (Calculating the default-risk premium) At present, 10-year Treasury bonds are yielding 4.1% while a 10-year corporate bond is yielding 6.4%. If the liquidity-risk premium on the corporate bond is 0.5%, what is the corporate bond's default-risk premium? Note that a Treasuty security should have no default-risk premium and liquidity-risk premiumThe 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.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?
- Assume the real risk-free is 1% and the average annual expected inflation rate is 4%. The DRP and LP for bond A are each 3%, and the applicable MRP is 3%. What is Bond A's interest rate?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% 8% 8.5%Assume that the real risk-free rate is 2% and the average annual expected inflation rate is 4%. The DRP and LP for Bond A are each 2%, and the applicable MRP is 3%. What is Bond A's interest rate?
- Suppose that the current one-year rate (one-year spot rate) and expected one-year government bonds over years 2, 3 and 4 are as follows: 1R1 = 4.80%, E(2r1) = 5.45%, E(3r1) = 5.95%, E(4r1) = 6.10% Assume that there are no liquidity premiums. To the nearest basis point, what is the current rate for the four-year-maturity government bond? 5.57% 5.62% 5.83% 6.10%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 calculationsSuppose 2-year Treasury bonds yield 4.1%,while 1-year bonds yield 3.2%. r* is 1%, and the maturity risk premium is zero.a. Using the expectations theory, what is the yield on a 1-year bond, 1 year from now?Calculate the yield using a geometric average.b. What is the expected inflation rate in Year 1? Year 2?