A scholarship foundation is committed to make a payment of 20,000 exactly two years from today. It plans to use zero-coupon bonds to fully immunize the liability based on a flat yield curve and an annual effective yield rate of 5.5%. One of the bonds will have a one-year maturity and the other will have a three-year maturity. Calculate the face value of the one-year zero coupon bond.
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A scholarship foundation is committed to make a payment of 20,000 exactly two years from today. It plans to use zero-coupon bonds to fully immunize the liability based on a flat yield curve and an annual effective yield rate of 5.5%. One of the bonds will have a one-year maturity and the other will have a three-year maturity. Calculate the face value of the one-year zero coupon bond.
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- Can I get assistance on this question please?An insurance company is thinking about purchasing bonds A and B with zero coupons to cover some of its future liabilities. The redemption periods for these zero-coupon bonds are seven and twenty years, respectively.£11 million is due in 11 years, and £14 million is due in 16 years, according to the list of its liabilities.Determine bond B's value at an effective 5% annual interest rate so that Redington's theory of immunization's first two requirements are met. (correct answer=6.419) (using formulas, no tables)You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $1.4 million per year. The interest rate is 8%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds.Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position?
- You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $2.3 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds. Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position?. Five-year Twenty-year Market Value Five-year Twenty-year million million b. What must be the face value of each of the two zeros to fund the plan? Face Value million millionYou manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $1.8 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds.Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? (Do not round intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.) Market Value Five-Year ___ Million Twenty-Five Year ___ Million b. What must be the face value of each of the two zeros to fund the plan? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Face Value Five-Year ___ Million Twenty-Five Year ___ MillionYou manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $2.1 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds.Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? (Do not round intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.) Market Value Five year: Twenty year: b. What must be the face value of each of the two zeros to fund the plan? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Face Value Five year: Twenty year:
- Please show full steps and correctly thanksI need assistance with the following: Suppose you have bough the above zero-coupon bond, with value and duration equal to your obligation. Now suppose the rates immediately increase to 9%. What happens to your net position? How much is the tuition obligation? How much is the zero-coupon bond? How much is the net position?Manshukh
- Over the next three years, the expected path of 1-year interest rates is 1, 2,and 1 percent, and the 1-year, 2-year, and 3-year term premia are 0, 0.2, and 0.5 percent, respectively. Using the information, today you buy $1 of one-year bonds and when it matures you plan to use the money you receive to reinvest in one-year bonds again. Then your expected rate of return for this $1 investment over the next two-year period is %. (round to the nearest integer)Cardinal Mania is financing a new investment project by issuing five-year bonds. Each bond has the face value of $1,000, and each bond pays out a $25 coupon each year (annual coupon.) Cardinal Mania plans to issue 1000 such bonds to raise the required funding of $870,000. Please answer the following questions: A. Calculate the yield to maturity and the current yield of this bond. B. Your tax rate is 20%, and the bond from Cardinal Mania is not tax-exempt. Suppose you can also invest in a five-year tax-exempt municipal bond with a yield of 3%. Would you buy the Cardinal Mania bond or the municipal bond? C. What would the holding period return rate be if you hold the Cardinal Mania bond for two years before selling it at par?Suppose in the question above, the tuition obligations have a Macaulay duration of 4.35 in years, and that you wish to immunize the tuition payments by buying a single issue of a zero coupon bond. What maturity zero coupon bond should you buy? Assume annual compounding. Round your answer to 2 decimal places.