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- Assume the first-year, second-year, third-year, and fourth-year hazard rates are 1.5%, 2%, 2.5%, and 3%, respectively. Compute the expected loss on a 4-year $100 par value 6% coupon rate payable annually bond. Please use a recovery rate of 40%.Assume you have the following asset and liability in your balance sheet Asset - Bond AModified Duration = 1.5 yearsValue = RM1 million Liability - Bond BModified Duration 2.6 yearsValue = RM2 million a. Calculate the duration gaps?b. What is the expected change in Net worth if interest increases by 1%?c. What should or could you to achieve immunised balance sheet?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?
- Assume that the real risk-free rate of return, k*, is 3%, and it will remain at that level far into the future. Also assume that maturity risk premiums (MRP) increase from zero for bonds that mature in one year or less to a maximum of 1%, and MRP increases by 0.2% for each year to maturity that is greater than one year-that is, MRP equals 0.2% for two-year bond, 0.4% for a three-year bond, and so forth. Following are the expected inflation rates for the next five years: Year Inflation Rate (%) 2017 5 2018 6 2019 7 2020 8 2021 9 a) Compute the interest rate for a one-, two-, three-, four-, and five-year bond. b) If inflation is expected to equal 9% every year after 2021, what should be the interest rate for a 10- and 20-year bond? c) Plot the yield curve for the interest rates you computed in part [a] and [b]. d) Based on the curve (in part c), interpret your findings.Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? Assume previous interest is 10% c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.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 you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.Suppose you are considering two possible investment opportunities: a 12-yearTreasury bond and a 7-year, A-rated corporate bond. The current real risk-free rateis 4%, and inflation is expected to be 2% for the next 2 years, 3% for the following4 years, and 4% thereafter. The maturity risk premium is estimated by this formula:MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimatedto be 0.3%. You may determine the default risk premium (DRP), given thecompany’s bond rating, from the table below. Remember to subtract the bond’s LPfrom the corporate spread given in the table to arrive at the bond’s DRP. Whatyield would you predict for each of these two investments?RateCorporate Bond YieldAssume that the real interest rate is 2% per year, the default risk premium is 3%, the liquidity premium is 1%, and the maturity risk premium is 2%. Additionally, expected inflation is 2% next year, 5% the year after, and 3% from then on. What is the nominal interest rate over a 10-year period?
- Suppose that the yield curve shows that the one-year bond yield is 8 percent, the two-year yield is 7 percent, and the three-year yield is 7 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the risk premium on the three-year bond is 2 percent. a. What are the expected one-year interest rates next year and the following year? The expected one-year interest rate next year = The expected one-year interest rate the following year b. If the risk premiums were all zero, as in the expectations hypothesis, what would the slope of the yield curve be? The slope of the yield curve would be (Click to select) % %The risk-free rate is 5% per year and a corporate bond yields 6% per year. Assuming a recovery rate of 75% on the corporate bond and 0.8% risk premium for a risk-averse investor, what is the approximate market-implied one-year probability of default of the corporate bond? a. 1% b. 0.8% c. 8% d. 1.60%An analyst observes a 10- year, 10% semi annual-pay bond. The face amount is £1,000. The analyst believes that the yield to maturity for this bond should be 15% based on this yield estimate, what would be the amount ? what is the method to solve this equation and the solution? Thank you.
