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?
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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%?You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityIt is estimated that you will pay about $80,000 into the Social Security system (FICA) over your 40-year work span. For simplicity, assume this is an annuity of $2,000 per year, starting with your 26th birthday and continuing through your 65th birthday. Solve, a. What is the future equivalent worth of your Social Security savings when you retire at age 65 if the government’s interest rate is 6% per year? b. What annual withdrawal can you make if you expect to live 20 years in retirement? Let i= 6% per year.
- Suppose 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?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%?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?
- c) Retirement Investment: Savings at Retirement = Saving Periods = Interest Rate = Savings Deposit / month= monthly deposits / monthA 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…
- You want to establish an annuity that will pay you $14,000 per year for 22 years. If the prevailing rate in the economy is 3.75%, how much must you deposit today to establish this annuity. $173,669.70 $207,237.61 $238,429.37 O $215,000.02 88b) Suppose you begin saving for your retirement by depositing $2,000 per year in an IRA. If the interest rate is 7.5%, how much will you have in 40 years if the payments are made: at the end of the year (ordinary annuity)? at the beginning of the year (annuity due)?Assume that you want to have $ 4450 saved in a sinking fund in 1 year. The account pays 2% compounded monthly. What should be your monthly payments?