Estimate the nominal interest rate for a new issue of a bond. The current 3-month Treasury bill rate is 4,50% and the inflation rate is 1,50%. The 30-year Treasury bond rate is 7,50% and the 30-year corporate bond rate is 9,00%. The liquidity-risk premium will be greater than zero, however, because the secondary market for the firm's bonds is more uncertain. It is estimated at 100 basis points. Provide your answer up to 2 decimal places Real risk-free interest rate: % Inflation premium: % Default-risk premium: % Maturity-risk premium: Liquidity-risk premium: % Nominal interest rate: %
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- 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%Please explain why this is the formula. Problem to this solution: Suppose the yield on a 10-year T-bond is currently 5.05% and that on a 10-year Treasury Inflation Protected Security (TIPS) is 1.80%. Suppose further that the MRP on a 10-year T-bond is 0.90%, that no MRP is required on a TIPS, and that no liquidity premium is required on any T-bond. Given this information, what is the expected rate of inflation over the next 10 years? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average.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(41) = 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? A. 5.57% B. 5.62% C. 5.83% D. 6.10%
- Consider the following pure discount bonds with face value $1,000: Maturity Price 1 952.38 2 898.47 3 847.62 4 799.64 5 754.38 Suppose now that the current one-period interest rate is 5% and that the markets expects future one period interest rates to decline by %0.5 per year.(a). Assume first that the liquidity premium is constant at 1%. Draw a graph with the spot yield curve, the forward rates curve and a curve showing expected future one-period interest rates.(b). Assume next that the liquidity premium increases by 0.5% per year from initially being 1%. Draw a graph with the spot yield curve, the forward rates curve and a curve showing expected future one-period interest rates.Suppose the rate of return on a 10-year T-bond is 5.30%, the expected average rate of inflation over the next 10 years is 1.50%, the MRP on a 10-year T-bond is 0.90%, no MRP is required on a TIPS, and no liquidity premium is required on any Treasury security. Given this information, what should the yield be on a 10-year TIPS? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average. a. 2.90% b. 3.80% c. 4.33% d. 4.40% e. 2.86%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 calculations
- 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.Bond J has a coupon rate of 3 percent and Bond K has a coupon rate of 9 percent. Both bonds have 13 years to maturity, make semiannual payments, and have a YTM of 6 percent. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? Percentage change in price of Bond J=? Percentage change in price of Bond K=? What if rates suddenly fall by 2 percent instead? Percentage change in price of Bond J=? Percentage change in price of Bond K=?The real risk-free rate, r*, is 2.15%. Inflation is expected to average 1.65% a year for the next 4 years, after which time inflation is expected to average 3.6% a year. Assume that there is no maturity risk premium. An 11-year corporate bond has a yield of 8.85%, which includes a liquidity premium of 0.75%. What is its default risk premium? Do not round intermediate calculations. Round your answer to two decimal places. %
- Answer number 1 and 2: 1.) Suppose the yield on a 10-year T-bond is currently 5.05% and that on a 10-year Treasury Inflation Protected Security (TIPS) is 2.15%. Suppose further that the MRP on a 10-year T-bond is 0.90%, that no MRP is required on a TIPS, and that no liquidity premium is required on any T-bond. Given this information, what is the expected rate of inflation over the next 10 years? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average. 2.) Koy Corporation's 5-year bonds yield 7.00%, and 5-year T-bonds yield 5.15%. The real risk-free rate is r* = 3.0%, the inflation premium for 5-year bonds is IP = 1.75%, the liquidity premium for Koy's bonds is LP = 0.75% versus zero for T-bonds, and the maturity risk premium for all bonds is found with the formula MRP = (t − 1) × 0.1%, where t = number of years to maturity. What is the default risk premium (DRP) on Koy's bonds?Suppose the yield on a 10-year T-bond is currently 5.05% and that on a 10-year Treasury Inflation Protected Security (TIPS) is 1.80%. Suppose further that the MRP on a 10-year T-bond is 0.90%, that no MRP is required on a TIPS, and that no liquidity premium is required on any T-bond. Given this information, what is the expected rate of inflation over the next 10 years? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average.Bond J has a coupon rate of 4.2 percent. Bond K has a coupon rate of 14.2 percent. Both bonds have ten years to maturity, a par value of $1,000, and a YTM of 9.4 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a. Percentage change in price b. Percentage change in price Bond J 9.40 % % Bond K 12.83 %