Irene plans to retire on December 31st, 2019. She has been preparing to retire by making annual deposits, starting on December 31st, 1979, of$2450 into an account that pays an effective rate of interest of 9.1%. She has continued this practice every year through December 31st, 2000. Her goalis to have $1.5 million saved up at the time of her retirement. How large should her annual deposits be (from December 31st, 2001 until December 31st,2019) so that she can reach her goal?Payment = $68573.5

The two major aspects of time value of money are compounding and Discounting. In compounding the…

Answered: Irene plans to retire on December 31st,…

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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Sara wants to have $530,000 in her savings account when she retires. How much must she put in the account now, if the account pays a fixed interest rate of 9%, to ensure that she has $530,000 in 18 years time? OA. $112,357 OB. $202,243 OC. $119,492 O D. $157,300
Sharon has worked for a company with a retirement program, and today is retiring from her job with the amount of $157000 in her retirement account. She decides to withdrawal an equal amount from this account, once a year, beginning immediately, and ending 25 years from today (for a total of 26 payments). If the interest rate is 6.75%, solve for the annuity amount such that she uses up her full accumulation. $ Place your answer in dollars and cents. Do not use a dollar sign or comma as part of your answer. For example, an answer of fifty four point three eight would be placed as 54.38.
John wants to have the financial ability to withdraw $80,000 per year forever beginning 30 years from now. If his retirement account earns 8% per year interest and dividends, what is the required balance in (a) year 29, and (b) year 0?
Kate is 28 years old today and is beginning to plan for her retirement . She wants to set aside an equalamount at the end of each of the next 37 years so that she can retire at age 65 . She expects to live to the maximum ageof 90 and wants to be able to withdraw $250,000 per year for 25 years from the account on her 66th through 90th birthday. The account is expected to earn 5% annually. Determine the size of the annual deposit by kate
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.
Carol Travis started a paper route on January 1, 2020. Every three months, she deposits $1,050 in her bank account, which earns 8 percent annually but is compounded quarterly. On December 31, 2023, she used the entire balance in her bank account to invest in a contract that pays 6 percent annually. How much will she have on December 31, 2026? (Use a Financial calculator to arrive at the answer. Round "FV Factor" to 3 decimal places. Round your intermediate and final answer to the nearest whole dollar.) Future value
How much must you deposit each year into your retirement account starting now and continuing through year 10 if you want to be able to withdraw $90,000 per year forever, beginning 29 years from now? Assume the account earns interest at 14% per year. The amount to be deposited is determined to be $________ .
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 24.00 years and pool the money into a savings account that pays 4.00% APR. They plan on living for 30.00 more years and making their yearly withdrawals at the beginning of the year. What will be their yearly withdrawal? Yearly Contribution $1,000.00 Account Fidelity Mutual Fund Vanguard Mutual Fund Employer 401k Balance $21,452.00 $183,845.00 $307,061.00 Submit Answer format: Currency: Round to: 2 decimal places. $10,000.00 $15,000.00 APR 7.00% 7.00% 6.00%
You want to retire at age 65. You decide to make a deposit to yourself at the end of each year into an account paying 3%, compounded annually. Assuming you are now 25 and can spare $1,400 per year, how much will you have when you retire at age 65? (Round your answer to the nearest cent.)_____$
Mick plans to start saving money for retirement. By taking 10% of monthly gross income. Mick is able to contribute $572 each money to a retirement plan. The account is expected to earn interest with an APR of 5.25% compounded monthly. Round to answers to two decimal cases places. a.How much money will be in Mick retirement account if he continues to make the same monthly investment for 40 years? b.Overall Mick contributed how much of her own money into the retirement account? c. What percent of the final balance in Mick retirement account was interest?
Gabriel plans to retire when he has $1,500,000 in his bank account, and he does not want to work more than 30 years. If this account has a APR of 5.4%, determine the minimum monthly annuity payment he would need to make. Round your answer to the nearest dollar.
Additionally complete the following problems (showing all work): i. Joshua plans to retire in 25 years. He will make 15 years of equal monthly payments into his account. Ten years after his last contribution, he will begin the first of 120 (10 years) of withdrawals of $2900 per month. Assume that the retirement account earns interest of 5.4% compounded monthly for the duration of his contributions, the 10 years in between his contributions and the withdrawals, and the 10 years of withdrawals. How large must Joshua's monthly contributions be in order to accomplish his goal? (The parts below will help you work through this problem.) (a) If Joshua wants to fund 10 years of monthly withdrawals of $2900 at 5.4% interest, compounded monthly, how much needs to be in the account? (b) Use your answer from part (b) as future value to find the present value of a compound interest account for the intervening 10 years. (c) This gives you the amount in the account at the end of the 15 years of…

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