A pension plan is obligated to make disbursements of $1.9 million, $2.9 million, and $1.9 million at the end of each of the next three years, respectively. The annual interest rate is 11%. If the plan wants to fully fund and immunize its position, how much of its portfolio should it allocate to one - year zero - coupon bonds and perpetuities, respectively, if these are the only two assets funding the plan?
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A pension plan is obligated to make disbursements of $1.9 million, $2.9 million, and $1.9 million at the end of each of the next three years, respectively. The annual interest rate is 11%. If the plan wants to fully fund and immunize its position, how much of its portfolio should it allocate to one - year zero - coupon bonds and perpetuities, respectively, if these are the only two assets funding the plan?
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- A pension plan must make total disbursements of $4.7 million, $6.7 million, $5.7, $3.0 and $1.0 million annually for the next five years, respectively. The fund makes these payments twice a year, paying half of each year's total amount six months into the year and the remaining half at the end of the year.Find the duration of the pension obligations if spot rates are flat at 8%. Group of answer choices 1.91 3.86 4.76 2.00 2.17Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $2 million per year to beneficiaries. The yield to maturity on all bonds is 16%.a. If the duration of 5-year maturity bonds with coupon rates of 12% (paid annually) is four years and the duration of 20-year maturity bonds with coupon rates of 6% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation?b. What will be the par value of your holdings in the 20-year coupon bond?pension funds pay lifetime annuities to recipients. if a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $2 million per year to beneficiaries. the yield to maturity on all bonds is 15%. a. if the duration of 5-year maturity bonds with coupon rates of 11% (paid annually) is 4 years and the duration of 20-year maturity bonds with coupon rates of 7% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation?
- An company needs to make the following annuity payments into a pension fund: £1100 paid at the beginning of each year for the first 5 years and then £1200 paid at the beginning of each year for the next 9 years and then £720 paid at the beginning of each year for the following 7 years. Calculate the amount of capital accumulated in the fund by the end of the last year, given that the rate of interest during this period is: 5.5% pa effective for the first 10 years and then 6.4% pa effective thereafter. NO tables, only formulas, pleaseA pension fund has a liability of £65000 to be paid precisely in 4 years time. It wants to Reddington immunise this liability with P 3-year zero coupon bonds and Q 5-year zero coupon bonds, where P and Q are to be determined. Interest is compounded continuously with rate 2%. What is the present value, effective duration and convexity of the liability?Bramble Corporation, having recently issued a $20,094,900, 15-year bond issue, is committed to make annual sinking fund deposits of $617,600. The deposits are made on the last day of each year and yield a return of 10%.Will the fund at the end of 15 years be sufficient to retire the bonds? Future value of an ordinary annuity $ Will funds be sufficient?
- A pension fund faces a promised outflow of $5 million in 6 years. Its managers plan to dedicate a portfolio comprised of the following two bonds to meet this obligation. a. What must be the proportions ((W7, W6) or (Weight(A), Weight(B)) of the two bonds in this 2-security portfolio to immunize it against changes in interest rates? b. What is the yield to maturity for the immunized portfolio? c. How much needs to be invested in each bond to build an immunized portfolio with an expected value of $5 million in 6 years? d. Suppose that it is now 3 years later and that there has been a parallel increase in interest rates of 2%. Explain how immunization at least partially protects this portfolio. That is, what are the sources of losses and gains associated with each of the bonds caused by the increase in interest rates? How do they offset each other?You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are essentially going to resemble level perpetuities of $2.24 million per year. The yield to maturity on all bonds is 14%. (a). Assume the duration of six-year maturity bonds with coupon rates of 10% (paid annually) is 5 years, and the duration of 22-year maturity bonds with coupon rates of 7% (paid annually) is 11 years. Calculate how much of each of these two coupon bonds (in market value) you will want to hold in order to both fully fund and immunize your obligation. (b). Calculate the total par value of your holdings in the six-year maturity coupon bond. Please show workingBonita Corporation, having recently issued a $20,062,200, 15-year bond issue, is committed to make annual sinking fund deposits of $620,000. The deposits are made on the last day of each year and yield a return of 10%. Will the fund at the end of 15 years be sufficient to retire the bonds? If not, what will the deficiency be?
- The managers of a pension fund have invested $1.5 million in U.S. government certificates of deposit (CDs) that pay interest at the rate of 2.6%/year compounded semiannually over a period of 20 years. At the end of this period, how much will the investment be worth? (Round your answer to four decimal places.)Gold Insurance Company intends to offer a contract with a guaranteed annuity in units of$500, payable at the end of each year for 25 years. The company has a strong investmentrecord and can consistently earn 7 percent on its net investments after taxes. If thecompany intends to earn 1 percent on this contract, compute the estimated price that GoldInsurance should set at a 6 percent discount rate. Assume that it is an ordinary annuity,and the price will be equivalent to the present value.Suppose that a pension fund manager anticipates the purchase of a 20-year 8 percent coupon T-bond at the end of two years. Interest rates are assumed to change only once every year at year end. At that time, it is equally probable that interest rates will increase or decrease 1 percent. When purchased in two years, the T-bond will pay interest semiannually. Currently, it is selling at par a. What is the pension fund manager’s interest rate risk exposure? b. How can the pension fund manager use options to hedge that interest rate risk exposure?