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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- 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)Rockne, Inc. is planning to fund a project by issuing 10-year zero coupon bonds with a face value of $1,000. Assuming semiannual compounding of interest, what will be the price of these bonds if the appropriate discount rate is 8 percent? (Round your answer to the nearest dollar.)I 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?
- ManshukhOver 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?
- A 20-year government coupon bond has a face value of $1,000 and a coupon rate of 6% paid annually at the end of each year. Assume that the market interest rate is 8% per year. What is the bond’s PV? (You can sum the PVs for each of the coupon payments and the final $1,000, or you can use the annuity formula in the text, at p. 103, to calculate the PV of the coupon payments and save some work. If you use the annuity formula, be sure to add the PV of the final $1,000 payment to the annuity result.) Round your answer to the nearest dollar (XXX). Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.Answer completely.You will get up vote for sure.You attempt to finance a 10-year guaranteed investment contract (GIC). The paymentmade by policyholder is $100 million. Suppose the promised annual interest rate of theGIC is 5%. The bond you want to use is a 15-year, 5% annual coupon rate bond (semiannually paid). Its face value is $100 million and you bought at par. Suppose the newinterest rate in the life of GIC stay constantly at 6%. Answer the following questions:(1). What is the promised payment of the GIC?(2). Calculate the total return of the investment.Lisa's new firm plans to issue a permanent callable bond with a par value of $1,000 and a nominal rate of 5% yearly. The nominal interest rate on these bonds will be 8% next year. Then a year from now, the bond's nominal interest rate will be 9% or 6% with the equal probability(50%). These bonds can be redeemed for $1350. If the bond is called when the interest rate decreases, calculate the callable bond price for today?
- An insurance firm needs to make a payment of $10000 in 3 years, the market interest rate to discount this obligation is 1%. The insurance firm funds this obligation with a 4-year zero-coupon bond and a 2-year coupon bond with a coupon rate of 10% (The coupon payments are made annually). Both bonds have a face value of $1000 and a yield of 1%. What is the price of the 2-year coupon bond? What is the duration of the 2-year coupon bond? What is the portfolio weight on the 2-year coupon bond to immunize the insurance firm’s obligation? How much money should the firm invest in the 2-year coupon bond? Assume one year has passed, the firm needs to rebalance its portfolio to make sure its obligation is still immunized. Assume the market interest rate and the yields do not change. What is the duration of the 2-year coupon bond? What is the portfolio weight on the 2-year coupon bond to immunize the insurance firm’s obligation? How much money should the firm invest in the 2-year coupon bond?Consider a fixed-payment security that pays $250 at the end of every year for eight years. If the rate of discount is 3 percent, calculate the present value of the bond. (Answer format is 4321)Corral Industries has decided to borrow money by issuing perpetual bonds with a coupon rate of 8.5 percent, payable annually. The one-year interest rate is 8.5 percent. Next year, there is a 40 percent probability that interest rates will increase to 10 percent, and there is a 60 percent probability that they will fall to 6 percent. If the company decides instead to make the bonds callable in one year, what coupon will be demanded by the bondholders for the bonds to sell at par? Assume that the bonds will be called if interest rates fall and that the call premium is equal to the annual coupon. a) 8.12% b) 8.77% c) 8.59% d) 8.35%