John is nearing retirement and is considering an annuity offer from New York Insurance Corp, which promises to pay him $30,000 on the last day of each year, for 20 years. If John believes that he could earn 5% if he invested his money himself, the present value (rounded to the nearest whole dollar) to John of this offer is:
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John is nearing retirement and is considering an annuity offer from New York Insurance Corp, |
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which promises to pay him $30,000 on the last day of each year, for 20 years. |
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If John believes that he could earn 5% if he invested his money himself, |
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the present value (rounded to the nearest whole dollar) to John of this offer is: |
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- Your uncle is about to retire, and he wants to buy an annuity that will provide him with $7,000 of income a year for 25 years, with the first payment coming immediately. The going rate on such annuities is 5.25%. How much would it cost him to buy the annuity today?Joe wants to have $50,000 ten years from now to use for a down payment on a house. How much should he deposit each month into an ordinary annuity that pays an annual rate of 4.5% in order to achieve his goal?Mr. Chew, a retiree, expects to live for the next 20 years and would like to receive a regular retirement income by purchasing an immediate annuity. His desired retirement income is $24,000 per year. The regular pay out is paid immediately on purchase of the annuity. The projected rate of return of the annuity product is 2.5%. To purchase the annuity today, how much Mr Chew would require a lump sum of?
- Dean Gooch is planning for his retirement, so he is setting up a payout annuity with his bank. He wishes to receive a payout of $1,500 per month for twenty-five years. (a) How much money must he deposit if his money earns 7.3% interest compounded monthly? (Round your answer to the nearest cent.) (b) Find the total amount that Dean will receive from his payout annuity.Your uncle is about to retire, and he wants to buy an annuity that will provide him with $73,000 of income a year for 20 years, with the first payment coming immediately. The going rate on such annuities is 5.25%. How much would it cost him to buy the annuity today? 6. alo at isMichael wants to retire in 20 years with enough savings in his RRSP to be able to purchase a 30-year annuity that will pay him $4200 at the end of every month. He has already accumulated $60,000 in his RRSP. In order to meet his goal, what RRSP contribution should Michael make at the end of each month for the next 20 years? Assume he earns 4% compounded quarterly on his RRSP, and 3.6% compounded monthly after retirement.
- You hire Thomas to work for you for five years, and you agree to put away enough money as a lump sum now to fund an annuity for him. At the end of those five years, he will retire and may begin drawing out $ 20,000 per year for five years, starting on the last day of each year (in this case, the end of year 6, from when this arrangement began, through year 10). How much must you invest today if your guaranteed interest rate is 3% compounded annually for all 10 years?You hire Thomas to work for you for five years, and you agree to put away enough money as a lump sum now to fund an annuity for him. At the end of those five years, he will retire and may begin drawing out $20,000 per year for five years, starting on the last day of each year (in this case, the end of year 6, from when this arrangement began, through year 10). How much must you invest today if your guaranteed interest rate is 3% compounded annually for all 10 years? (RESOURCE: Annuities) Note: Another two-stage present value problem, involving first finding a present value at a starting point (even though it occurs in our future!) that will generate a series of future payments and then calculating a single-amount present value today to achieve that future goal when payments (withdrawals) will begin. Please show how to solve for both steps, thank you!Martin wants to provide money in his will for an annual bequest to whichever of his living relatives is oldest. That bequest will provide $6000 in the first year, and will grow by 7% per year, forever. If the interest rate is 10%, how much must Martin provide to fund this bequest?
- Enrique already knows that he will have $300,000 when he retires. If he sets up a payout annuity for 15 years in an account paying 4.55% interest, how much could the annuity provide each quarter?Lin Shan is about to retire and is exploring the possibility of investing a lump sum in an annuity so that she gets 50% of her last drawn salary at the end of every month for 15 years. She estimates her last-drawn salary to be ¥60,000. The quotation she obtained from Ping Tan insurance requires her to invest a lump sum of ¥1 million. Calculate the return that Lin Shan is earning on her annuity.Mr. Hopper expects to retire in 30 years, and he wishes to accumulate $750,000 in his retirement fund by that time. If the interest rate is 10% per year, how much should Mr. Hopper put into his retirement fund each year in order to achieve this goal? (Assume that he makes payments at the end of each year.)