5. Suppose you want to invest for the college expenses of your children, which you estimate to be $200,000. Moreover, you have access to a risk-free savings account that pays an annual interest of 4%, compounded annually. If you anticipate needing the amount in 20 years, how much do you need to invest now in the savings account (You do not plan to withdraw from the account or add more before the 20 years)? a. $75,377.90 b. $84,531.78 c. $91,277.39 d. $110.735.15
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- Suppose you are offered an investment that will allow you to double your money in 8 years. You have R10 000 to invest. What is the implied rate of interest?Suppose you have a 1-year old daughter and you want to provide R81 000 in 19 years towards her college education. You currently have R2 000 to invest. What interest rate must you earn to have the R81 000 when you need it?Suppose you want to buy a new house. You currently have R15 000 and you figure you need to have a 10% down payment plus an additional 5% of the loan amount in closing costs. If the type of house you want costs about R150 000 and you can earn 8.1% per year, how long will it be before you have enough money for the down payment and closing costs?13. You have just made your first $4,000 contribution to your retirement account. Assuming you earn an 11 percent rate of return and make no additional contributions, what will your account be worth when you retire in 45 years? What if you wait 10 years before contributing? (Does this suggest an investment strategy?). 14. You are saving up for a down payment on a house. You will deposit $600 a month for the next 24 months in a money market fund. How much will you have for your down payment in 24 months if the fund earns 12% APR compounded monthly?8) Special Retirement PlanYou set up a retirement plan where you will invest $20,000 per year in an account with a guaranteed rate of return of ? = 0.05. The plan requires that you start investing immediately at year t=0, and make fifteen (15) additional payments of $20,000 in years t=1, t=2, ..., t=10. You make 11 investments in total. a. What will be the value of this stream of investments in year t=50? b. What is the maximum you can withdraw per year over the twenty (20) year period from t=51, t=52, ..., t=70? You have to withdraw the same amount each year. c. What is the maximum that you can withdraw per year forever if you start to make withdrawals in year t=51. You have to withdraw the same amount each year. 19)
- You are planning for your child's future and would like to set up a savings account for their college tuition. You suspect that you don't want to make a lump sum, so you decide to make equal monthly deposits. After calculating, you plan to have $100,000 in the account in 18 years. You found an account that gives 2% APR compounded monthly. Find the amount of your monthly deposits needed to obtain your projected future value.To live comfortably in retirement, you decide you will need to save $2 million by the time you are 65 (you are 30 years old today). You will start a new retirement savings account today and contribute the same amount of money on every birthday up to and including your 65th birthday. Using TVM principles, how much must you set aside each year to make sure that you hit your target goal if the interest rate is 5%? What flaws might exist in your calculations, and what variables could lead to different outcomes? What actions could you take ensure you reach your target goal?Use Excel to solve the following problem. Assume that you are 39 years old planning for your future retirement at age 65. You think that you will be comfortable living on the proceeds from a $1,000,000 401K Retirement Account.a. If your investments grow at an average rate of 6% annually how much must you invest monthly to achieve your projected retirement fund total by the time you retire in 26 years?b. Assuming that when you do retire, you will re-direct your $1,000,000 investment portfolio into less volatile and more secure mutual funds. You expect that, invested in these sources, your portfolio will securely earn 4.5% annually. Based on your assumptions and the normal life expectancy of an American male or female (I determined this to be 81 years old), without consuming any of your principal, how much money will you have on a monthly basis to support your life?(I have worked this problem out on my own, I just want to be sure I applied the formulas and concepts correctly.)
- 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 $5,000 per year with the first investment made one year from now. You think you can earn 10.0% per year on your investments and you plan to retire in 43 years, immediately after making your last $5,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $5,000 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 20 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 20th withdrawal (assume your savings will continue to earn 10.0% in retirement)? d. If, instead, you decide to withdraw $300,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…3. A man desires to have P3M money in his savings when he retires after 25years. This has amount in the present purchasing power. If the expected averageinflation rate is 7% per year and the savings earns 5.5%, what lump sum ofmoney should he invest now?
- Let us develop a savings plan for your retirement. We will assume that you will be fin-ished with your schooling by age 25, and work for 40 years to retire at age 65. Let us (verygenerously and optimistically) imagine that you will receive a substantial graduation giftof $10,000, and will open an investment account with it that (again, quiteoptimistically) can be expected to reliably pay 8% interest, compounded continuously. Inaddition, you will plan to save a portion of your paycheck each week, for a total of D dollarsper year, every year. Determine D, i.e how much you need to add to your account from yourearnings every year, in order to retire with a princely sum of $2,000,000 in your retirementaccount.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…How much do you need to save each year for 30 years in order to have $775,000, assuming you are investing the money in an account that earns 8%? How much of the $775,000 comes from contributions (your out of pocket costs)?