(Calculating the future value of a complex annuity) Springfield mogul Montgomery Burns, age 80, wants to retire at age 100 so he can steal candy from babies full time. Once Mr. Burns retires, he wants to withdraw $0.9 billion at the beginning of each year for 8 years from a special offshore account that will pay 22 percent annually. In order to fund his retirement, Mr. Burns will make 20 equal end-of-the-year deposits in this same special account that will pay 22 percent annually. How much money will Mr. Burns need at age 100, and how large of an annual deposit must he make to fund this retirement account? a. If the retirement account will pay 22 percent annually, how much money will Mr. Burns need when he retires? $ billion (Round to three decimal places.)
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- (Future value of a complex annuity) Springfield mogul Montgomery Burns, age 75, wants to retire at age 100 so he can steal candy from babies full time. Once Mr. Burns retires, he wants to withdraw $1.1 billion at the beginning of each year for 6 years from a special offshore account that will pay 19 percent annually. In order to fund his retirement, Mr. Burns will make 25 equal end-of-the-year deposits in this same special account that will pay 19 percent annually. How much money will Mr. Burns need at age 100, and how large of an annual deposit must he make to fund this retirement account? a. If the retirement account will pay 19 percent annually, how much money will Mr. Burns need when he retires? $ billion (Round to three decimal places.) b. How large of an annual deposit must he make to fund this retirement account? $ million (Round to two decimal places.) @ 2 30€ W S X ommand JUN 26 # 3 80 F3 E D C $ 4 DOD 000 F4 R F % 5 V A FS T G ♫ ^ 6 tv A MacBook Air B F6 Y H & 7 44 F7 U N…(Future value of a complex annuity) Springfield mogul Montgomery Burns, age 90, wants to retire at age 100 so he can steal candy from babies full time. Once Mr. Burns retires, he wants to withdraw $0.9 billion at the beginning of each year for 9 years from a special offshore account that will pay 22 percent annually. In order to fund his retirement, Mr. Burns will make 10 equal end-of-the-year deposits in this same special account that will pay 22 percent annually. How much money will Mr. Burns need at age 100, and how large of an annual deposit must he make to fund this retirement account?(Compounding using a calculator and annuities due) Springfield mogul Montgomery Burns, age 85, wants to retire at age 100 in order to steal candy from babies full time. Once Mr. Burns retires, he wants to withdraw $1.2 billion at the beginning of each year for 9 years from a special offshore account that will pay 22 percent annually. In order to fund his retirement, Mr. Burns will make 15 equal end-of-the-year deposits in this same special account that will pay 22 percent annually. How much money will Mr. Burns need at age 100, and how large of an annual deposit must he make to fund this retirement account? a. How much money will Mr. Burns need when he retires? $nothing billion (Round to three decimal places.)
- 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?Dick Eckel recently set up a TDA to save for his retirement. He arranged to have $125 taken out of each of his biweekly checks; it will earn his ordinary annuity comes to term when he is 65. (Round your answers to the nearest cent) (a) Find the present value of the given annuity $1110058.3613 X (b) Interpret the present value of the given annuity. You would have to invest a lump sum of $ 117000 X now instead of $125 biweekly. interest. He just had his twenty-ninth birthday, andDick Eckel recently set up a TDA to save for his retirement. He arranged to have $130 taken out of each of his biweekly checks; it will earn 9 7/8% interest. He just had his twenty - ninth birthday, and his ordinary annuity comes to term when he is 65. ( Round your answers to the nearest cent.) (a) Find the present value of the given annuity. $ (b) Interpret the present value of the given annuity. You would have to invest a lump sum of $ now instead of $130 biweekly.
- 1. Indicate which formula is correct to determine the future value of an annuity due. 2. The present value of a $25,000 perpetuity at a 14 percent discount rate is 3. Bill plans to fund his individual retirement account (IRA) with the maximum contribution of $2,000 at the end of each year for the next 20 years. If Bill can earn 12 percent on his contributions, how much will he have at the end of the twentieth year?9Please show all steps on how to solve this problem. Your new boss doesn’t have a pension or 401(k) plan for your retirement, but she agrees to place aside $12,000 every year once a year for four years. She gives you the option of either starting immediately on your first day of work or starting one year from now. That makes this the difference between an ordinary annuity and an annuity due. If the plan earns 5% per year, compounded annually, what will be the difference between the two approaches after the four years / four payments? (RESOURCE: Annuities formulas) Note: We solve for both the future value of an ordinary annuity and the future value of an annuity due.
- (Future value of an annuity) Upon graduating from college 35 years ago, Dr. Nick Riviera was already planning for his retirement. Since then, he has made deposits into a retirement fund on a semiannually basis in the amount of $900. Nick has just completed his final payment and is at last ready to retire. His retirement fund has earned 7 percent compounded semiannually. Use five decimal places for the periodic interest rate in your calculations. a. How much has Nick accumulated in his retirement account? b. In addition to this, 20 years ago Nick received an inheritance check for $20,000 from his beloved uncle. He decided to deposit the entire amount into his retirement fund. What is his current balance in the fund?Dick Eckel recently set up a TDA to save for his retirement. He arranged to have $120 taken out of each of his biweekly checks; it will earn 9-% interest. He just had his twenty-ninth birthday, and his ordinary annuity comes to term when he is 65. Find the following. (Round your answers to the nearest cent.) (a) The future value of the account $ x (b) Dick's total contribution to the account $ 112320 (c) The total interest $ x(Saving for retirement-future value of an annuity) Selma and Patty Bouvier are twins and both work at the Springfield DMV Selma and Patty Bouvier decide to save for retirement, which is 35 years away. They'll both receive an annual return of 11 percent on their investment over the next 35 years. Selma invests $2,000 per year at the end of each year only for the first 10 years of the 35-year period for a total of $20,000 saved. Patty doesn't start saving for 10 years and then saves $2,000 per year at the end of each year for the remaining 25 years-for a total of $50,000 saved. How much will each of them have when they retire? a. How much will Selma have when she retires? (Round to the nearest cent.).