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?
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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?
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- If 90,000 is invested in a fund on December 31, 2019, and 5 equal annual withdrawals of 23,138.32 are made starting on December 31, 2020, that will deplete the fund, what is the interest rate being earned if interest is compounded annually?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?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…
- 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, please4) 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) Eid) 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 perpetuity will make its first payment in 20 years. The first payment will be $5,000, and future payments will increase at a 10 percent annual rate. What is the present value of this investment, assuming a 10% discount rate? Place Answer in Blank Above. What is the difference between a perpetuity and a growing perpetuity? What are real-world examples of each?you want to establish an annuity that will pay $7,500 for the next twenty years (end year) your financial institution will establish such an annuity if you deposit $104,000 today. what is the implied rate that the institution is paying on this annuity?Suppose you are going to receive $11,000 per year for 8 years. The appropriate interest rate is 11 percent per year. Requirement 1: What is the present value of the payments if they are in the form of an ordinary (a)annuity (cash flow starts at the end of the first compounding period)? (Click to select) (b) What is the present value if the payments are an annuity due (cash flow starts at the beginning of the first compounding period)? (Click to select) Requirement 2: (a)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an ordinary annuity? (Click to select) (b)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an annuity due? (Click to select)
- 5. Consider an annuity where you receive $1,000 payments at the end of each year for the next 20 years. Assume the discount rate is 1.5%. What is the present value of this stream of income payments?What is the present value of a perpetuity with payments starting one year from now. The first payment is $25,000. Assume a discount rate of 8%.Suppose you're going to receive $7800 per year for five years. the appropriate discount rate is 7.5%. A.What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due? B. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are in annuity due? C. Which has the higher present value, the ordinary annuity or the annuity due? Which has a higher future value? Will this always be true?