. Suppose a bond has duration of 6 years, and a current yield to maturity of 10%. If the yield to maturity declines to 9.75%, the resulting percentage change in the price of the bond is?
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A: MS-Excel --> Formulas --> Financials --> PVTherefore, the price of the bond is $1,069.96.
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1. Suppose a bond has duration of 6 years, and a current yield to maturity of 10%. If the yield to maturity declines to 9.75%, the resulting percentage change in the price of the bond is?
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- Suppose the real risk-free rate of interest is r*=4%�*=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1×(t−1)%0.1×�−1%, where t� is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%. The average inflation during the first 4 years is2.37% . What is the yield on a 4-year Treasury bond? 4.30% 8.90% 6.75% 7.05% What is the yield on a 4-year BBB-rated bond? 8.90% 7.50% 7.05% 8.45% If the yield on a 5–year Treasury bond is 7.38% and the yield on a 6–year Treasury bond is 7.83%, the expected inflation in 6 years is . (Hint: Do not round intermediate calculations.)Suppose the 1-year spot rate is 0.8%, and that a 2-year 1.5% annual coupon, a 3-year 2% annual coupon bonds are trading at par ($100). Calibrate a 2-year binomial interest rate model, assuming that interest rate volatility ?σ is 10%. What is the lowest rate at t=2?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…
- If the current yield of a bond goes down from 6.1% to 4.5%, by what percent does the market price increase?What is a bond’s current yield if it’s ytm is 10% and it’s current price is 900. It pays coupons of 6% and has 6 years to maturity. Face value is 1000. What is current yield? Current Price is given as 900. What if it was not given?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 three 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 liguidity premium (LP) on all Pandar Corp.'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% Pandar Corp. issues 11-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. O 10.87% O 10.42% O 11.42% O 5.15% Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true? O The yield on U.S. Treasury securities always remains static. O The yield on an…
- Duration and price sensitivity a) Calculate the duration and modified duration of a bond with a face of $1,000, a 6% coupon rate, and a 5% YTM with 1 payment per year and a maturity of 10 years, using the Excel DURATION and MDURATION formulas. b) Calculate the following: 1. What are the approximate percentage and dollar changes in price for a 1% change in interest rates using the duration approximation formula? 2. What are the actual percentage and dollar changes in price if interest rates increase by 1%?Suppose the real risk-free rate of interest is r=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1 x (t-1) %, where t is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%, The average inflation during the first 4 years is What is the yield on a 4-year Treasury bond? O 6.75% O 8.90% O 4.30% O 7.05% What is the yield on a 4-year BBB-rated bond? O 7.50% O 7.05 % O 8.45% 8.90% If the yield on a 5-year Treasury bond is 7.38% and the yield on a 6-year Treasury bond is 7.83%, the expected inflation in 6 years is (Hint: Do not round intermediate calculations.)Assume the Liquidity Premium Theory of the Term Structure of Interest Rates holds. The WSJ quotes 0.25% annual yield on a one-year T-note and 0.5% annual yield on a two-year T-note. Suppose the annual yield on a one-year T-note is expected to stay at 0.25% over the next 2 years. What must be the liquidity premium on a two-year T-note?
- the current yield of a bond goes down from 6.2% to 4.9%, what percent does the market price increase?EXPECTATIONS THEORY Assume that the real risk-free rate is 2% and that the risk premium is zero. If a 1-year Treasury bond yield is 5% and a 2-year Treasury bond yields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yield using a geometric average. What inflation rate is expected during Year 2? Comment on why the average interest rate during the 2-year period differs from the 1-year interest rate expected for Year 2. 6-15 maturityQuestion A .Consider a 2-year, risk-free bond with a coupon rate of 6% (annual coupons) and a face value of $1,000. If the yield on the above bond is 6%: a. What is the Macaulay duration of this bond? b. If the yield increases to 7% immediately, what does the duration approximation predict will be the percentage change in the bond price? c. If the yield decreases to 5% instead, what is the approximate percentage change in the bond price implied by the bond’s duration? d. After receiving the first coupon payment in year 1, the yield increases to 7% and you decide to sell the bond. What is your annualized HPR? Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line
