You have decided to buy an annuity from a life insurance company that provides an annual payment of $25,000 per year at the end of each of the next 35 years. How much are you going to have to pay for this annuity contract if the insurance company promises an 9% annual rate of return?
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- 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 annuityThe Solvent Insurance Co. will pay you $4,750 a year for 15 years in exchange for $45,000 today. What interest rate will you earn on this annuity?Safe Insurance Company offers a 40-year annuity. The annuity pays $1,000/year at the end of each year and carries a market rate of 4.3%. How much would you pay today for this annuity?
- A Sunlife Insurance offers a 7-year ordinary annuity with a guaranteed rate of 6.35% compounded annually. How much should you pay for one of these annuities if you want to receive payments of $10,000 annually over the 7-year period? Show solution.Your pension plan is an annuity with a guaranteed return of 4% per year (compounded quarterly). You can afford to put $1,600 per quarter into the fund, and you will work for 40 years before retiring. How much money (in dollars) has accumulated in the retirement fund when you retire? (Round your answer to the nearest cent.) $ After you retire, you will be paid a quarterly pension based on a 25-year payout. How much (in dollars) will you receive each quarter? (Round your answer to the nearest cent.)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.
- If you set aside $5,000 per year (i.e., one deposit of $5,000 each year) in a Roth IRA for the next 25 years (the first contribution is to be made exactly one year from now, so use an ordinary annuity setup), how much will you have at your retirement in 25 years if your IRA earns 6% APR, compounded monthly?An insurance annuity offers to pay you $1,000 per quarter for 20 years. If you want to earn a rate of return of 6.5 percent, compounded quarterly, what is the most you are willing to pay as a lump sum today to obtain this annuity?You are earning an average of $46,500 and will retire in 10 years. If you put 20% of your gross average income in an ordinary annuity compounded at 7% annually, what will be the value of the annuity when you retire?
- American General offers a 19-year annuity with a guaranteed rate of 4.39% compounded annually. How much should you pay for one of these annuities if you want to receive payments of $1900 annually over the 19 year period? How much should a customer pay for this annuity? (Round to the nearest cent.)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?if you want to be paid from a 15 year ordinary annuity with a guaranteed rate of 4.277% compounded annually, how much should you pay for one of these annuities if you want to receive annual payments of $10,000.00 over the 15 year period?