Determinants of Interest Rate for Individual Securities A 2-year Treasury security currently earns 6.75 percent. Over the next two years, the real interest rate is expected to be 3.18 percent per year and the inflation premium is expected to be 2.18 percent per year. What is the maturity risk premium on the 2-year Treasury security?
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- The real risk-free rate is 2.0% and inflation is expected to be 3.25% for the next 2 years. A 2-year Treasury security yields 5.85%. What is the maturity risk premium for the 2-year security? Round your answer to one decimal place.Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. (Input your answers as a percent rounded to 2 decimal places.) 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 2 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return Interest Rate 58 78 10% 128The real risk-free rate (r*) is 2.8% and is expected to remain constant. Inflation is expected to be 4% per year for each of the next two years and 3% thereafter. The maturity risk premium (MRP) is determined from the formula: 0.1(t – 1)%, where t is the security’s maturity. The liquidity premium (LP) on all Smith and Carter Inc.’s bonds is 0.55%. The following table shows the current relationship between bond ratings and default risk premiums (DRP): Rating Default Risk Premium U.S. Treasury — AAA 0.60% AA 0.80% A 1.05% BBB 1.45% Smith and Carter Inc. issues 10-year, AA-rated bonds. What is the yield on one of these bonds? Disregard cross-product terms; that is, if averaging is required, use the arithmetic average. 7.35% 7.70% 8.25% 5.05% Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true? The yield on a AAA-rated bond will be higher…
- An investor in Treasury securities expects inflation to be 2.0% in Year 1, 2.7% in Year 2, and 3.55% each year thereafter. Assume that the real risk-free rate is 2.35% and that this rate will remain constant. Three-year Treasury securities yield 5.20%, while 5-year Treasury securities yield 6.00%. What is the difference in the maturity risk premiums (MRPs) on the two securities; that is, what is MRP5 - MRP3? Do not round intermediate calculations. Round your answer to two decimal placesThe real risk-free rate is 2.5% and inflation is expected to be 2.25% for the next 2 years. A 2-year Treasury security yields 6.75%. What is the maturity risk premium for the 2-year security? Round your answer to one decimal place. ______%What is the coupon payment for the bond in the table? Assume semi-annual payments Coupon Rate Bond Apple Yield 52% Price $1023.10 Years to maturity
- 3. Calculating interest rates The real risk-free rate (r*) is 2.8% and is expected to remain constant. Inflation is expected to be 7% per year for each of the next two years and 6% thereafter. The maturity risk premium (MRP) is determined from the formula: 0.1(t – 1)%, where t is the security’s maturity. The liquidity premium (LP) on all Smith and Carter Inc.’s bonds is 1.05%. The following table shows the current relationship between bond ratings and default risk premiums (DRP): Rating Default Risk Premium U.S. Treasury — AAA 0.60% AA 0.80% A 1.05% BBB 1.45% Smith and Carter Inc. issues 7-year, AA-rated bonds. What is the yield on one of these bonds? Disregard cross-product terms; that is, if averaging is required, use the arithmetic average. 11.54% 10.94% 10.49% 5.25% Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true? In…An investor in Treasury securities expects inflation to be 14,25% in Year 1, 12,20% in Year 2, 9,60%. in Year 3 and 8,00% each year thereafter. Assume that the real risk-free rate is 2,00% and that this rate will remain constant. Three-year Treasury securities yield 12,87%, while 7-year Treasury securities yield 13,47%. What is the difference in the maturity risk premiums (MRPS) on the two securities; that is, what is MRP, - MRP3?Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. Note: Input your answers as a percent rounded to 2 decimal places. 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 21 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return % % % Interest Rate 7% 9% 10% 12%
- Quantitative Problem: An analyst evaluating securities has obtained the following information. The real rate of interest is 2.5% and is expected to remain constant for the next 5 years. Inflation is expected to be 2% next year, 3% the following year, 4% the third year, and 5% every year thereafter. The maturity risk premium is estimated to be 0.1 x (t- 1)%, where t = number of years to maturity. The liquidity premium on relevant 5-year securities is 0.5% and the default risk premium on relevant 5-year securities is 1%. a. What is the yield on a 1-year T-bill? Do not round intermediate calculations. Round your answer to two decimal places. % b. What is the yield on a 5-year T-bond? Do not round intermediate calculations. Round your answer to two decimal places. % c. What is the yield on a 5-year corporate bond? Do not round intermediate calculations. Round your answer to two decimal places. % Icon Key Check My Work (3 remaining)An investor in Treasury securities expects inflation to be 2.2% in Year 1, 2.7% in Year 2, and 3.65% each year thereafter. Assume that the real risk-free rate is 2.45% and that this rate will remain constant. Three-year Treasury securities yield 5.50%, while 5-year Treasury securities yield 7.00%. What is the difference in the maturity risk premiums (MRPs) on the two securities; that is, what is MRP5 - MRP3? Do not round intermediate calculations. Round your answer to two decimal places.9. Calculating interest rates The real risk-free rate (r*) is 2.8% and is expected to remain constant. Inflation is expected to be 8% per year for each of the next two years and 7% thereafter. The maturity risk premium (MRP) is determined from the formula: 0.1(t – 1)%, where t is the security’s maturity. The liquidity premium (LP) on all Gauge Imports Inc.’s bonds is 0.55%. The following table shows the current relationship between bond ratings and default risk premiums (DRP): Rating Default Risk Premium U.S. Treasury — AAA 0.60% AA 0.80% A 1.05% BBB 1.45% Gauge Imports Inc. issues 12-year, AA-rated bonds. What is the yield on one of these bonds? Disregard cross-product terms; that is, if averaging is required, use the arithmetic average. 11.87% 11.32% 5.25% 12.42% Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true? The yield on a AAA-rated bond will be lower than the yield on a AA-rated bond. A…