(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 rebres, he wants to withdraw $0.9 billion at the beginning of each year for 8 years from a special offshore a pay 25 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 25 percent annually. How much money will Mr. Burns need at age 100, and how large of an annual deposit must he make to fur retirement account? a. If the retirement account will pay 25 percent annually, how much money will Mr. Burns need when he retres? $billion (Round to three decimal places.) b. How large of an annual deposit must he make to fund this retirement account? s million (Round to two decimal places)

(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 rebres, he wants to withdraw $0.9 billion at the beginning of each year for 8 years from a special offshore a pay 25 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 25 percent annually. How much money will Mr. Burns need at age 100, and how large of an annual deposit must he make to fur retirement account? a. If the retirement account will pay 25 percent annually, how much money will Mr. Burns need when he retres? $billion (Round to three decimal places.) b. How large of an annual deposit must he make to fund this retirement account? s million (Round to two decimal places)

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Shelly Franks is planning for her retirement, so she is setting up a payout annuity with her bank. She is now 25 years old, and she will retire when she is 65. She wants to receive annual payouts for twenty years, and she wants those payouts to receive an annual COLA of 2.8%. (a) She wants her first payout to have the same purchasing power as does $14000 today. How big should that payout be if she assumes inflation of 2.8% per year? (b) How much money must she deposit when she is 65 if her money earns 8.1% interest per year? (c) How large a monthly payment must she make if she saves for her payout annuity with an ordinary annuity? (The two annuities pay the same interest rate.) (d) How large a monthly payment would she make if she waits until she is 30 before starting her ordinary annuity?
Professor’s Annuity Corp. offers a lifetime annuity to retiring professors. For a payment of $350,000 at age 65, the firm will pay the retiring professor $2,800 a month until death. If the professor’s remaining life expectancy is 30 years, what is the monthly rate on this annuity? What is the effective annual rate?
20.
To ensure his retirement income, a 40-year old man plans to purchase annuity when he turns 65. The annuity will pay $7,500 at the end of each month for 20 years, and the value is calculated at 5% interest, compounding monthly. To pay for this annuity, he starts making annual level deposits in a mutual fund, which earns 8% interest each year. He makes the first one right away, and makes deposits at the beginning of each year for 25 years. How much does he need to deposit each year in order to save enough to buy his annuity?
10) Vanessa wants to withdraw $8,000 each year from July 1, 2025 through July 1, 2029. The investment fund earns interest at a rate of 5%. In order to make these withdrawals, Vanessa will invest an annuity on July 1, 2021 through July 1, 2024. Calculate the annuity Vanessa needs to invest each year. Yellow Company purchases a truck on January 1, 2021. According to the contract Yellow will not make any payments in 2021, 2022 and 2023. Yellow is to make an annuity payment of $5,000 starting December 31, 2024 through December 31, 2028. Calculate the cost of the truck. 11) Stella has $3,000,000 in her investment fund. She wishes to withdraw $338,868 12) at the end of each of the next 13 years. What interest rate must she earn in order to accomplish her goal. A note receivable that is due in 15 months from now is always classified as a 13) long-term asset. (True/False) 14) A long-term note receivable should be disclosed in Other Assets in a classified balance sheet. (True/False)
Provide manual solutions for below mentioned problems. A social worker deposits a uniform amount of P12,000 at the end of each year in order to get a lump sum of money by the time she will retire at the end of 20 years. If the compound amount factor for this annuity is equal to 36.78559. 1. Compute the nominal interest rate.2. Determine how much will she receive at the end of 20 years.3. Determine the worth of the sinking fund factor in this fund invested. Answer. 1. 6% 2. P441,427.08 3. 0.027184557
(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 12 percent on their investment over the next 35 years. Selma invests $1,900 per year at the end of each year only for the first 10 years of the 35-year period-for a total of $19,000 saved. Patty doesn't start saving for 10 years and then saves $1,900 per year at the end of each year for the remaining 25 years-for a total of $47,500 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.)
Frank plans to set aside money for his young daughter's college tuition. He will deposit money in an ordinary annuity that earns 4.2% interest, compounded quarterly. Deposits will be made at the end of each quarter. How much money does he need to deposit into the annuity each quarter for the annuity to have a total value of $71,000 after 14 years? Do not round intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas.

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