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 years
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- 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 $70,000 per year starting when you retire 45 years from today (the first $70,000 will come 45 years from now). If your discount rate is 6%, 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.)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 - CZA O Search + W e Clear all Incorrect: 0
- 5. My pension plan is an annuity with a guaranteed return of 5% per year. (Assume compounding at same intervals as withdrawals or deposits) a. How much will I need in my account at retirement if I wish to be paid $12000 per quarter for 25 years? b. If I plan to work for 45 years before retiring, how much money would I need to deposit into my retirement account monthly to save the amount necessary for the payments in part a. (assume the same 5% rate)Assume that Social Security promises you $40,000 per year starting when you retire 45 years from today (the first $40,000 will come 45 years from now). If your discount rate is 7%, compounded annually, and you plan to live for 20 years after retiring (so that you will get a total of 21 payments including the first one), what is the value today of Social Security's promise?Assume that Social Security promises you $34,000 per year starting when you retire 45 years from today (the first $34,000 will get paid 45 years from now). If your discount rate is 6%, compounded annually, and you plan to live for 12 years after retiring (so that you will receive a total of 13 payments including the first one), what is the value today of Social Security's promise?
- d) 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? 30A retirement plan provides its enrollees with two options. Option 1 provides participants with $50,000 a year over the next 10 years. Option 2 pays a lump sum payment of $300,000 today (and no future payments). Suppose an enrollee takes Option 2. What is the enrollee’s likely discount factor? 3.2% 9.8% 11.1% 5.7%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%. What should be the present value of this annuity? If you are given the first payment immediately starting today, what should be the worth of this annuity? Which payment mode will you accept? What will be basis of your decision under time value of money concept?
- 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.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?The Perpetual Life Insurance Company is trying to sell you an investment policy that will pay you and your heirs $19,500 per year forever. a. If the required return on this investment is 6.1 percent, how much will you pay for the policy? b. Suppose the Perpetual Life Insurance Company told you the policy costs $500,000. At what discount rate would this be a fair deal?