(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.)

(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.)

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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(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?
You annually invest $2,000 in an individual retirement account (IRA) starting at the age of 30 and make the contributions for 15 years. Your twin sister does the same starting at age 35 and makes the contributions for 25 years. Both of you earn 7 percent annually on your investment. What amounts will you and your sister have at age 60? Use Appendix A and Appendix C to answer the question. Round your answers to the nearest dollar.Amount on your account: $ Amount on your sister's account: $ Who has the larger amount at age 60?-Select-You haveYour sister hasItem 3 the larger amount.
(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.).
Elijah James is in his early 30s and is thinking about opening an IRA. He can't decide whether to open a traditional/deductible IRA or a Roth IRA, so he turns to you for help. To support your explanation, you decide to run some comparative numbers on the two types of accounts; for starters, use a 35-year period to show Elijah what contributions of $5,000 per year will amount to (after 35 years) if he can earn, say, 8 percent on his money. Round your answers to the nearest dollar. 1A. traditional IRA $______1B. Roth IRA $_______ Will the type of account he opens have any impact on this amount? Select: Yes or No 2. Assuming that Elijah is in the 25 percent tax bracket (and will remain there for the next 35 years), determine the annual and total (over 35 years) tax savings he'll enjoy from the $5,000-a-year contributions to his IRA. Contrast the (annual and total) tax savings he'd generate from a traditional IRA with those from a Roth IRA. If an answer is zero, enter "0". Round your…
The Calvarusos have decided to invest in a college fund for their young son. They invested $40,000 in a deferred annuity that will pay their son at the beginning of every month for 4 years, while he goes to college. If the account earns 2.50% compounded monthly and the annuity payments are deferred for 15 years, what will be the size of the monthly payments?
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 $1,700 per month for twenty five years. His money earns 7.3% interest compounded monthly. (Round your answers to the nearest cent.) (a) How large a monthly payment must Dean Gooch make if he saves for his payout annuity with an ordinary annuity, which he sets up thirty years before his retirement? (The two annuities pay the same interest rate.) (b) How large a monthly payment must he make if he set the ordinary annuity up twenty years before his retirement?
William North has just inherited $895,000 which he would like to use as part of his retirement nest egg. He invested the funds at a 6.28 percent annual rate compounded annually. William will reach age sixty in 10 years and will retire early. Now he would like to know how much he could withdraw from the fund in equal installments at the end of each year from the year he reaches age 60 until he reaches age 70¹2, the year he must start withdrawing funds from his individual retirement account (IRA). William assumes the funds will continue to earn at a 6.28 percent annual rate. In other words, William would like to know the annual year-end payment from an eleven-year annuity (from age 60 to the year he will be 70¹2), earning 6.28 percent annually. Round the answer to two decimal places.
Gary is planning for his retirement this year. One option that has been presented to him is the purchase of an annuity that would provide a $31, 000 payment each year for the next 18 years. Factor Table Appendix 9.1 Present value of $1 received in n periods = 0.1799 Appendix 9.2 Present value of an annuity of $1 per period= 8.2014 Calculate how much Gary should be willing to pay for the annuity if he can invest his funds at 10% ( For calculation purposes, use 4 decimal places as displayed in the factor table provided and round the final answer to 0 decimal places, e.g. 58,971)
Sunrise Industries wishes to accumulate funds to provide a retirement annuity for its vice president of research, Asia Omar. Ms. Omar by contract will retire at the end of exactly 15 years. During her retirement, she is entitled to receive an annual end-of-year payment of $50,000 for exactly 25 years. If she dies prior to the end of the 25-year period, the annual payments will pass to her heirs. Also, sunrise want to assure a stability life for Asia Omar and her family. Thus, they want to have a perpetuity which provide $15,000 each year (after the 25 year of retirement). During the 15-year “still working period” Sunrise wishes to fund the annuity by making equal annual end-of-year deposits into an account earning 9% interest. Once the 25-year “retirement period” begins, Sunrise plans to move the accumulated monies into an account earning a guaranteed 12% per year. After the 40th year, (after retirement) the interest rate will be 15%. Note that all transaction will happen at the end…
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 $1.1 billion at the beginning of each year for 7 years from a special offshore account that will pay 18 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 18 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?
20.

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