(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 9 percent on their investment over the next 35 years. Selma invests $2,300 per year at the end of each year only for the first 10 years of the 35-year period-for a total of $23,000 saved. Patty doesn't start saving for 10 years and then saves $2,300 per year at the end of each year for the remaining 25 years-for a total of $57,500 saved. How much will each of them have when they retire?

(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 9 percent on their investment over the next 35 years. Selma invests $2,300 per year at the end of each year only for the first 10 years of the 35-year period-for a total of $23,000 saved. Patty doesn't start saving for 10 years and then saves $2,300 per year at the end of each year for the remaining 25 years-for a total of $57,500 saved. How much will each of them have when they retire?

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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Twins graduate from college together and start their careers. Twin 1 invests $1500 at the end of each year for 10 years only (until age 31) in an account that earns 9%, compounded annually. Suppose that twin 2 waits until turning 40 to begin investing. How much must twin 2 put aside at the end of each year for the next 25 years in an account that earns 9% compounded annually in order to have the same amount as twin 1 at the end of these 25 years (when they turn 65)? (Round your answer to the nearest cent.)
Amy Parker, a 22-year-old and newly hired marine biologist, has opened a 401(k) retirement plan with her employer. Amy's contribution, plus that of her employer, amounts to $2,400 per year starting at age 23. Amy expects this amount to increase by 4% each year until she retires at the age of 57 (there will be 35 EOY payments). What is the compounded future value of Amy's 401(k) plan, in millions of $, if it earns an annual interest rate of 7% per year? (a) The compounded future value of Amy's 401(k) plan is $ million. (Round to three decimal places.) (b) What will be the compounded future value if the plan earns an annual interest rate of 4% per year (instead of 7% per year)? $ million. (Round to three decimal places.)
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 9 percent on their investment over the next 35 years. Selma invests $2,100 per year at the end of each year only for the first 10 years of the 35-year period —for a total of $21,000 saved. Patty doesn't start saving for 10 years and then saves $2,100 per year at the end of each year for the remaining 25 years —for a total of $52,500 saved. How much will each of them have when they retire? Question content area bottom Part 1 a. How much will Selma have when she retires? $ enter your response here (Round to the nearest cent.)
Twins graduate from college together and start their careers. Twin 1 invests $2500 at the end of each year for 10 years only (until age 34) in an account that earns 9%, compounded annually. Suppose that twin 2 waits until turning 40 to begin investing. How much must twin 2 put aside at the end of each year for the next 25 years in an account that earns 9% compounded annually in order to have the same amount as twin 1 at the end of these 25 years (when they turn 65)? (Round your answer to the nearest cent.)
Your great-uncle Claude is 82 years old. Over the years, he has accumulated savings of $180,000. He estimates that he will live another 18 years at the most and wants to spend his savings by then. (If he lives longer than that, he figures you will be happy to take care of him.) Uncle Claude places his $180,000 into an account earning 9 percent annually and sets it up in such a way that he will be making 18 equal annual withdrawals—the first one occurring one year from now—such that his account balance will be zero at the end of 18 years. How much will he be able to withdraw each year?
Twins Natalie and Kaitlyn are both age 27. They both live in Warren, Ohio. Beginning at age 27, Natalie invests $2,000 per year for ten years and then never sets aside another penny. Kaitlyn waits ten years and then invests $2,000 per year for the next 30 years. Assuming they both earn 7 percent, how much will each twin have at age 67.
(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.)
The Ali plan to retire and start receiving their Social Security benefits at the same time, when Jimmy is 67 and Lucy is 62 years old. Their monthly Social Security retirement benefits at those ages in today's dollars are estimated to be $3,200 for Jimmy and $2,000 for Lucy. They think their expenses in retirement in today's dollars will be 70% of their total cash outflows now. Other than Social Security, they will rely on their retirement savings in order to meet their retirement expenses. They want to assume they will die in the same year, when Jimmy is 95 and Lucy is 90 years old.Determine what the payments will be in the distribution phase. These will be the withdrawals Jimmy and Lucy will need to take monthly from their accounts, in order to meet their retirement expenses. How much is that monthly amount?Note: this question is asking about the withdrawals they will need, not about the expenses they will be incurring monthly.
When Joe and Sarah graduate from college, each expects to work a total of 45 years. Joe begins saving for retirement immediately. He plans to deposit $600 at the end of each quarter into an account paying 8.1% interest, compounded quarterly, for 10 years. He will then leave his balance in the account, earning the same interest rate, but make no further deposits for 35 years. Sarah plans to save nothing during the first 10 years and then begin depositing $600 at the end of each quarter in an account paying 8.1% interest, compounded quarterly for 35 years. Complete parts (a) through (e) below. a. Without doing any calculations, predict which one will have the most in his or her retirement account after 45 years. Then test your prediction by answering the following questions. Choose the correct answer below. O A. Joe will have more in his account after 45 years. Sarah contributed more money overall, but Joe was earning 8.1% interest per quarter for 35 years. Sarah will have more in her…
A couple is saving for retirement with three different accounts. The table below shows the current balances in their accounts, along with their yearly contribution, and the yearly return on each account. The couple will retire in 23.04 years and pool the money into a savings account that pays 3.09% APR. They plan on living for 28.39 more years and making their yearly withdrawals at the beginning of the year. What will be their yearly withdrawal? Yearly Contribution Account Fidelity Mutual Fund Vanguard Mutual Fund Employer 401k Balance $24,614.86 $183,591.46 $306,050.80 $1,000.00 $10,000.00 $15,000.00 APR 6.06% 7.55% 5.06%

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