a. A pension fund has to pay out $750,000 to the retirees at the end of every month for the next 50 years. The fund will be earning 9.6% compounded monthly for the first 30 years and 7.2% compounded monthly for the last 20 years. In order to be able to make these payments, how much money would have to be in the pension fund now?
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- How much must be invested now to receive $50,000 for 8 years if the first $50,000 is received in one year and the rate is 10%?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…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?
- 4) A person puts 200 dollar to a pension fund every month. This is invested in Eurobonds yielding %8 annual. How much will be accumulated after 20 years? 5) EiSuppose you want to save $1,000,000 for a retirement fund in 35 years. You anticipate making regular, end-of-month deposits in an annuity that pays 9% compounded monthly. How much should you deposit each month? Use this formula: How much of the $1,000,000 retirement fund comes from deposits and how much comes from interest?A pension fund is making an investment of $100,000 today and expects to receive $1,600 at the end of each month for the next five years. At the end of the fifth year, the capital investment of $100,000 will be returned. What is the internal rate of return compounded annually on this investment?
- a pension fund is making an investment of $100,000 today and expects to receive $1,600 at the end of each month for the next five years. At the end of the fifth year, the capital investment of $100,000 will be returned. What is the initial rate of return compounded annually on this investment?You would like to have enough money saved to receive a $90,000 per year perpetuity after retirement. The annual interest rate is 8 percent. Required: How much would you need to have saved in your retirement fund to achieve this goal? a) Assume that the perpetuity payments start on the day of your retirement. b) Assume that the perpetuity payments start one year from the date of your retirement.To supplement your planned retirement in exactly 42 years, you estimate that you need to accumulate $220,000 by the end of 42 years from today. You plan to make equal annual end-of-year deposits into an account paying 8 percent annual interest.a. How large must the annual deposits be to create the $220,000 fund by the end of 42 years?b. If you can afford to deposit only $600 per year into the account, how much will you have accumulated by the end of the forty-second year?
- If Mr. Peter Parker gets a pension contribution each year BDT 20000 , how many years it will need to gain BDT 2300000 if the money is invested in an account which can generate a rate of 11%?To supplement your retirement, you estimate that you need to accumulate $290,000 exactly 41 years from today. You plan to make equal, end-of-year deposits into an account paying 8% annual interest. a. How large must the annual deposits be to create the $290,000 fund by the end of 41 years? b. If you can afford to deposit only $800 per year into the account, how much will you have accumulated in 41 years?You build a retirement fund by continuously paying into the fund for 30 years, at a rate of 5,000 per year at an effective annual interest rate of 9%. After 30 years, you buy a 30-year annuity immediate with your fund at an effective annual interest rate of 8%. The annuity pays P after one year, and payments increase by 5% thereafter. Find P