You are expecting twins and want to have $500,000 by the time your two kids go to college. You believe you can earn a return of 7%/year. You have nothing saved up. But you can contribute $8,000 each year going forward. How many years will it take you to grow your money to $500,000?
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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?you estimate that you will need about $80,000 to send your child to college in eight years.Y ou have about $35,000 now.If you can earn 20 percent per year,will you make it? At what rate will you just reach your goal?You want to begin saving for your daughter’s college education and you estimate that she will need R240 000 in 17 years. If you feel confident that you can earn 7.5% per year, how much do you need to invest today?
- 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?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)?6) Your daughter is born today, and you want her to be a millionaire by the time she is 35 years old. You open an investment account that promises to pay 16% per year. How much money must you deposit each year, starting on her 1st birthday and ending on her 35th birthday, so your daughter will have $1,000,000 by her 35th birthday? N Year I/Y Cash flow 7) The present value of the following cash flow stream is $8,500 discounted at 10 percent annually. What is the value of the missing cash flow? 1,000 PV 1 ? PMT 2 2,000 FV 3 4,000 4
- suppose you are planning to buy a home in 8 years from now that costs you 47114 OMR, How much should you save each year in your bank account that pays 6.012 percent to reach your goal?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…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 10.5% per year on your investments and you plan to retire in 36 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 10.5% in retirement)? d. If, instead, you decide to withdraw $270,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…
- USE EXCEL TO SOLVE THE PROBLEM AND SHOW THE EXCEL FORMULA AS WELL! You are hoping to buy a house in the future and recently received an inheritance of $20,000. You intend to use your inheritance as a down payment on your house. a. If you put your inheritance in an account that earns a 7 percent interest rate compounded annually, how many years will it be before your inheritance grows to $30,000? b. If you let your money grow for 10.25 years at 7 percent, how much will you have? c. How long will it take your money to grow to $30,000 if you move it into an account that pays 3 percent compounded annually? How long will it take your money to grow to $30,000 if you move it into an account that pays 11 percent? d. What does all of this tell you about the relationship among interest rates, time, and future sums?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…c. The Flemings will need $160,000 annually for 20 years during retirement. How much will they need at retirement if they can earn a 4% rate of return? d. The Hamptons want to have $3,500,000 for their retirement in 30 years. How much should they save annually if they think they can earn 7% on their investments?