MATH201 – It's All About the Benjamins Assignment – Devin Sloan

(1) SITUATION There are two brothers; Percy and Liam. They both have the goal to retire at the age of 65 with one million dollars in their respective bank accounts. They have been talking to people familiar with the stock market, who assure them that over long periods of time they will be able to earn an 8% return by investing. ANNUITIES Percy decides that instead of doing a one-time payment, he is going to save a little bit each month. If he begins saving $350 per month at age 25, will he meet his goal? (2) Liam follows his brother and begins to save $350 per month – except he again waits until he is 35. How much less will Liam have than his brother at retirement?  .

Tom plans to buy a house. He notice that current interest rate is really high. Considering that the stock market is volatile, he decides to take out $100,000 from the stock markets and create a certificate of deposit account at a rate of 3.5%. He predicts that later when the house price drops, he can buy a very good single-family house with about $750,000. The down payment rate is 20%. Please predict the exact time when he can buy a house. Group of answer choices 14.33 8.47 14.66

You have just graduated, are dead broke, but would still like to buy a new car so that you can show it off on Instagram. Your rich Aunt Amy, who is a retired investment banker at the age of 35 because she knew better, is willing to lend you the money to buy the car, as long as you promise to pay her back in four years. You propose to pay her the rate of interest she would otherwise get by putting the money in the bank, which has deposit and loan rates of 2% and 6%, respectively. Based on your projected income and living expenses, you anticipate that you will be able to pay her $30,000, $40,000, $45,000, and $50,000 at the end of each of the next four years, respectively. Required: (a) If your aunt accepted your proposal, how much would she be willing to lend you today? (b) How much would your aunt have in four (4) years if she chooses not to lend you the money? (c) How much would your aunt have in four (4) years if she chooses to lend you the money? (d) Based on your calculations in…

You have just graduated, are dead broke, but would still like to buy a new car so that you can show it off on Instagram. Your rich Aunt Amy, who is a retired investment banker at the age of 35 because she knew better, is willing to lend you the money to buy the car, as long as you promise to pay her back in four years. You propose to pay her the rate of interest she would otherwise get by putting the money in the bank, which has deposit and loan rates of 2% and 6%, respectively. Based on your projected income and living expenses, you anticipate that you will be able to pay her $30,000, $40,000, $45,000, and $50,000 at the end of each of the next four years, respectively. (a)  If your aunt accepted your proposal, how much would she be willing to lend you today? (b)  How much would your aunt have in four (4) years if she chooses not to lend you the money? (c) How much would your aunt have in four (4) years if she chooses to lend you the money? (d) Based on your calculations in…

You are just starting your first job out of college. You and your best friend are competing to see who will have more in their savings when you retire; you both plan to retire at age 52, just 30 years out. You will need $5 million to retire. If you average an annual return of 7% on your investment, how much do you need to put into retirement savings on an annual basis?

Please show working.   Please answer a, b, and c   Your client is 35 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $7,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 8% in the future. a. If she follows your advice, how much money will she have at 65? Do not round intermediate calculations. Round your answer to the nearest cent. $ _________  b. How much will she have at 70? Do not round intermediate calculations. Round your answer to the nearest cent. $ ________ c. She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? Do not round intermediate calculations. Round your answers to the nearest cent. Annual withdrawals if she retires at 65: $ ____________ Annual…

Assume that you have just turned 21, are graduating from college, and are planning for your retirement; at age 55. You currently have no money saved, but plan to make significant investments into a retirement account now that you have gotten a high-paying job. Because of moving and additional expenses associated with the start of your new job, you believe that you will only be able to invest $2,000 on your 22nd and 23rd birthdays (2 payments). You then expect to invest $10,000 each year on your 24th through your 30th birthdays (7 payments), $20,000 each year on your 31st through 40th birthdays (10 payments), and $30,000 each year on your 41st through 55th birthdays (15 payments). During this 34-year period you are willing to take some investment risks and you believe that your investment account can earn a nominal annual rate of return of 9 percent, compounded monthly. At age 55 you plan to retire and will use the money in your investment account to buy a 40-year, guaranteed annuity…

Monique Gonzales just graduated and was hired by a new cybersecurity firm in Colorado. She needs to set up her retirement plan portfolio. Monique has completed the following payoff table for different investment options and estimated the potential profits that could be realized in one month. Monique can use the Hurwicz Criterion strategy to make her decision.Payoff Table   State of Nature Alternatives Good Economy Fair Economy Poor Economy Mutual Fund 800800 650650 320320 Stock Market 5,5005,500 4,7004,700 3,1003,100 CDs 1,7001,700 870870 670670 Bonds 550550 320320 185185   Step 2 of 2 :   What is Monique’s potential payoff based on the the Hurwicz Criterion strategy and an α=0.45α=0.45?

Your client is 40 years old, and she wants to begin saving for retirement, with the first payment to come one year from now. She can save $5,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 11 percent in the future. If she follows your advice, how much money would she have at 65? How much would she have at 70? If her investments continue to earn the same rate after retirement, How much could she withdraw at the end of each year after retirement for each retirement age?       c. If she expects to live for 20 years in retirement if she retires at 65       d. If she expects to live for 15 years in retirement if she retires at 70,

Ross wants to invest some money that he just inherited. He found that his bank offers a savings account paying a guaranteed 3% rate of return. However, he would like to earn a higher return. Ross should keep in mind that to earn a higher return on his money he: A)will have to invest overseas. B) should invest in a business that has a very stable and predictable rate of return. C)will probably have to accept a higher level of risk. D) will probably have to engage in illegal activities

You are trying to decide how much to save for retirement. Assume you plan to save $6,000 per year with the first investment made one year from now. You think you can earn 6% per year on your investments and you plan to retire in 43 years, immediately after making your last $6,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $6,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 18 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 18th withdrawal (assume your savings will continue to earn 6% in retirement)? d. If, instead, you decide to withdraw $100,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it take…

Your grandfather urged you to begin a habit of saving money early in your life. He suggestedthat you put $5 a day into an envelope. If you follow his advice, at the end of the year youwill have $1,825 (365 3 $5). Your grandfather further suggested that you take that moneyat the end of the year and invest it in an online brokerage mutual fund account that has anannual expected return of 8%.You are 18 years old. If you start following your grandfather’s advice today, and continuesaving in this way the rest of your life, how much do you expect to have in the brokerageaccount when you are 65 years old?

Don Hildebrand is trying to decide whether to invest money in a bank or in something a little riskier that will pay a higher return. One very simple investment promises to pay a minimum of 8% compounded annually, but he must leave all of the money and interest invested for 9 years. How much interest will Don earn during the 9 years if he invests $7,150 and the investment pays the minimum?

You graduate from college and get your first job. You open a Roth IRA with $2,000 at the age of 25. You invest $3,000 at age 26, $4,000 at age 27, and $5,000 at age 28. You then receive a promotion that brings your incometo a level that disqualified you from making further contributions to the Roth IRA. Construct a table that shows how much will you have in your IRA at the age of 60 if you had invested in an account that paid an averageyield of 8 percent.

2. Marjorie Yan recently retired from work and wants to use a portion of her retirement money for investment. She has two investment options, namely (1) a bond fund, and (2) a stock fund. Each investment would be for one year and will give a return to of 6% for the bond fund and 10% for stock fund. Whatever portion of her retirement money she commits for investment, she wants to invest at least 25% of that amount in the bond fund. Moreover, she wants to select a mix that will give her a total return of at least 7.5%. Marjorie wants to determine the percentage that should be allocated to each possible investment alternative to maximize * returns. 1 Add File

You are trying to decide how much to save for retirement. Assume you plan to save $4,500 per year with the first investment made one year from now. You think you can earn 6.0% per year on your investments and you plan to retire in 45 years, immediately after making your last $4,500 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $4,500 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 16 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 16th withdrawal (assume your savings will continue to earn 6.0% in retirement)? d. If, instead, you decide to withdraw $191,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…

You are trying to decide how much to save for retirement. Assume you plan to save $4,000 per year with the first investment made one year from now. You think you can earn 7.0​% per year on your investments and you plan to retire in   29 ​years, immediately after making your last $4,000 investment. a. How much will you have in your retirement account on the day you​ retire? b.​ If, instead of investing $4,000 per​ year, you wanted to make one​ lump-sum investment today for your retirement that will result in the same retirement​ saving, how much would that lump sum need to​ be? c. If you hope to live for 28 years in​ retirement, how much can you withdraw every year in retirement​ (starting one year after​ retirement) so that you will just exhaust your savings with the 28th withdrawal​ (assume your savings will continue to earn 7.0​% in​ retirement)? d.​ If, instead, you decide to withdraw $70,000 per year in retirement​ (again with the first withdrawal one year after​ retiring), how…

Annie Williams is considering a retirement portfolio and wonders if she should move some of her money into an international investment. She has been working for a short time period (she graduated University just four years ago, she has put her retirement savings into a mutual fund whose strategy mimicked the return of the S&P 500 stock index/ large company stock), this fund has historically earned a return averaging 12% over the last 80 years, but recently the returns were somewhat depressing, as the economy is going through a mild recession because of this Annie is considering an international mutual fund that diversifies its holdings around the industrialized economies of the world and average 14% annual rate of return. The international funds higher average return is offset by the fact that the standard deviation in its return is 30% compared to only 20% for the domestic index fund. Reviewing more closely, she learned that the domestic and international fund tend to earn high…

Suppose that Paolo is 45 years old and has no retirement savings. He wants to begin saving for retirement, with the first payment coming one year from now. He can save $12,000 per year and will invest that amount in the stock market, where it is expected to yield an average annual return of 8.00% return. Assume that this rate will be constant for the rest of his's life. Paolo would like to calculate how much money he will have at age 65. Using a financial calculator yields a future value of this ordinary annuity to be approximately Paolo would now like to calculate how much money he will have at age 70. Using a financial calculator yields a future value of this ordinary annuity to be approximately at age 65. Paolo expects to live for another 25 years if he retires at age 65, with the same expected percent return on investments in the stock market. Using a financial calculator, you can calculate that Paolo can withdraw retirement at age 65), assuming a fixed withdrawal each year and $0…

Vijay

Your client is 32 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $7,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 11% in the future. a. If she follows your advice, how much money will she have at 65? Do not round intermediate calculations. Round your answer to the nearest cent. $ b. How much will she have at 70? Do not round intermediate calculations, Round your answer to the nearest cent. 2$ c. She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? Do not round intermediate calculations. Round your answers to the nearest cent. Annual withdrawals if she retires at 65: $ Annual withdrawals if she retires at 70: $