Required: a. What is the duration of its obligation to me? The current interest rate is 10% per year. b. If the plan uses 5-year and 20-year zero-coupon bonds to construct the immunized position, how much money ought to be placed in each bond? c. What will be the face value of the holdings in each zero?
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- My pension plan will pay me $10,500 once a year for a 10-year period. The first payment will come in exactly five years. The pension fund wants to immunize its position. Required: a. What is the duration of its obligation to me? The current interest rate is 5.0% per year. b. If the plan uses 5-year and 20-year zero-coupon bonds to construct the immunized position, how much money ought to be placed in each bond? c. What will be the face value of the holdings in each zero? Complete this question by entering your answers in the tabs below. Required A Required B Required C What is the duration of its obligation to me? The current interest rate is 5% per year. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Duration yearsMy pension plan will pay me $11,500 once a year for a 10-year period. The first payment will come in exactly five years. The pension fund wants to immunize its position. Required: a. What is the duration of its obligation to me? The current interest rate is 6.0% per year. b. If the plan uses 5-year and 20-year zero-coupon bonds to construct the immunized position, how much money ought to be placed in each bond? c. What will be the face value of the holdings in each zero?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…
- Assume that the Canada Pension Plan promises you $20,000 per year starting when you retire 45 years from today (the first $20,000 will come 45 years from now). If your discount rate is 7%, compounded annually, and you plan to live for 15 years after retiring (so that you will get a total of 16 payments, including the first one), what is the value today of Canada Pension Plan's promise? The value today of the Canada Pension Plan's promise is $ (Round to the nearest dollar.) View an example Get more help - Clear allAssume that the Canada Pension Plan promises you $20,000 per year starting when you retire 45 years from today (the first $20,000 will come 45 years from now). If your discount rate is 7%, compounded annually, and you plan to live for 15 years after retiring (so that you will get a total of 16 payments, including the first one), what is the value today of Canada Pension Plan's promise? The value today of the Canada Pension Plan's promise is (Round to the nearest dollar.) View an example Get more help - CZA O Search + W e Clear all Incorrect: 0d) If the pension fund you manage expects to have an inflow of $200 million 12 months from now what forward contract would you seek to enter into to lock in current interest rates? 30
- A pension fund must pay out $1 million next year, $2 million the following year, and then $3 million the year after that. If the discount rate is 8%, what is the duration of this set of payments?1) Your insurance company offered you an annuity that pays you $100 at the end of each year. The life of the annuity is 10 years. Assume that market interest rate you can earn on similar risky investments is 8%; a) What should be the present value of this annuity? b) If you are given the first payment immediately starting today, what should be the worth of this annuity?Suppose you are given a choice of the following two securities: (a) an annuity that pays $10,000 at the end of each of the next six years; or (b) a perpetuity that pays $10,000 forever, but the first cash payment is 11 years from today. Which security do you choose if the annual interest rate is 5%? Does your answer change if the interest rate is 10%? Explain why or why not.
- Beginning a year from now, Bernardo O’Reilly will receive $20,000 a year from his pension fund. There will be fifteen of these annual payments. What is the present value of these payments if a 6 percent annual interest rate is applied as the discount rate?A company wants to determine how much it should pay to purchase a particular ordinary annuity today. The annuity consists of cash flows of $ 8,000 at the end of each year for 5 years. The firm requires the annuity to provide a minimum return of 10%.Calculate the amount(Means you need to calculate PV of ordinry annuity). However anlyse how the answer will change if it a annuity due.An insurance company is offering to sell an annuity for $20,000 cash. In return the firm will guarantee to pay the purchaser 20 annual endof-year payments, with the first payment amounting to $1100. Subsequent payments will increase at a uniform 10% rate each year (second payment is $1210; third payment is $1331, etc.). What rate of return would someone who buys the annuity receive?