ou manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payout re going to closely resemble level perpetuities of $2.1 million per year. The interest rate is 10%. You plan to fully fu obligation using 5-year and 20-year maturity zero-coupon bonds. Required: . How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized posit ound intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.) Five-year Twenty-year Market Value million million

ou manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payout re going to closely resemble level perpetuities of $2.1 million per year. The interest rate is 10%. You plan to fully fu obligation using 5-year and 20-year maturity zero-coupon bonds. Required: . How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized posit ound intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.) Five-year Twenty-year Market Value million million

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 22P

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You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the funds are going to closely resemble perpetuities of $1 million per year. The interest rate is 9% per year. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds. How much market value of each of the zero coupon bonds will be necessary to fund the plan if you desire an immunized position? Duration of a perpetuity is (1+y)/y
Consider a pension plan that will pay $10,000 once a year for a 5-year period (5 annual payments). The first payment will come in exactly 5 years (at the end of year 5) and the last payment in 9 years (at the end of year 9). a. What is the duration of the pension obligation? The current interest rate is 9% per year for all maturities. b. To generate the scheduled pension payments, the pension fund wants to invest the present value of the future payouts in bonds and match the duration of its obligation in part a). If the fund uses 5-year and 10-year zero-coupon bonds to construct its investment position, how much money (dollar amount) ought to be placed in each bond now? What should be the total face value (not current market value) of each zero coupon bond held? c. Right after the fund made its investment outlined in part b), market interest rates for all maturities dropped from 9% p.a.to 8% p.a. Show that the investment position constructed in part b) can still approximately fund the…
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Suppose you have a financial investment opportunity for which if you invest $2,000 today, you will receive $100 per year for 3 years plus $2,500 in the third year. Is this worthwhile in financial terms if the interest rate on the best alternative use of the funds is 10% How would I plug this into a finacial calculator? usin N, I/Y, PV, PMT,FV
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Suppose that a woman deposits $10,000 into an investment fund that guarantees to pay 0.5% interest everymonth. That is, interest is compounded monthly at a rate of 0.5% per month. a) What is the nominal annual interest rate? b) What is the effective annual interest rate? c) Assuming that no additional deposits or withdrawals are made, use the appropriate compound interestfactors to determine how much the fund will be worth:i) After 1 year;ii) After 2 years. d) Verify that your answers in parts (b) and (c) are correct by constructing a table or spreadsheet thatshows how the initial deposit will grow over 2 years. At a minimum, your table or spreadsheet shouldinclude a row for each interest period over a 2-year planning horizon and show: the value of in the investment fund at the start of each interest period the amount of interest earned each interest period; and the value of the fund at the end of each interest period.Be sure to briefly explain how your table or spreadsheet verifies…