Suppose that your child is born this year, and that you'd like to set aside enough money so that your child will have $3,000,000 at retirement in 50 years. If the rate of return on your money averages 7% per year over the next 50 years, how much do you have to invest today so that your child will have $3,000,000 in 50 years?
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- 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…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…Assume that you just inherited an annuity that will pay you $10,000 per year for10 years, with the first payment being made today. A friend of your mother offersto give you $60,000 for the annuity. If you sell it, what rate of return would yourmother’s friend earn on his investment? If you think a “fair” return would be 6%, howmuch should you ask for the annuity? (13.70%, $78,016.92)
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- You want to retire soon. When you finally retire, you want your investments to provide you with an income of $150,00 each year for the next 40 years. If the annual interest rate guaranteed to be 6 percent or higher, what is the present value of that stream of payments (or how much of a deposit do you need in order to get that payment amount per year)?Suppose you want to save up $100,000 to buy a house in 10 years. You plan to invest a lump sum amount of $50,000 today in a savings account that pays an annual interest rate of 6%. How long will your investment take to grow to $100,000? Will you be able to buy your desired house with the current investment after 10 years?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…
- You are saving for retirement. To live comfortably, you decide you will need to save $3,000,000 by the time you are 65. Today is your 29th birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 10%, how much must you set aside each year to make sure that you will have $3,000,000 in the account on your 65th birthday?You know that you'll inherit $10,000 in 19 years. If you borrow $6,000 now and plan to pay it off with the money you'll inherit, what is the highest annual interest rate you can afford on the loan?You just had your 30th birthday and you are planning for your retirement at age 66. You currently have $20,000 in your investment portfolio, and you estimate that you will need at least $1.5 million in order to retire comfortably when you turn 66. What rate of return must be earned on your investment portfolio (assuming that you do not add any more money into the account) for your retirement plan to work? Show me all the calculation process