You always dream to be a millionaire in your entire life and you have only $5,000 to invest now. Suppose you come across an investment opportunity which offers 12% annual return with monthly compounding. Calculate at what age you can realize your dream assuming that you are 20 years old today.
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You always dream to be a millionaire in your entire life and you have only $5,000 to invest
now. Suppose you come across an investment opportunity which offers 12% annual return
with monthly compounding. Calculate at what age you can realize your dream assuming that
you are 20 years old today.
Step by step
Solved in 3 steps
- Today, you turn 21. Your birthday wish is that you will be a millionaire by your 40th birthday. In an attempt to reach this goal, you decide to save $20 a day, every day until you turn 40. You open an investment account and deposit your first $20 today. What rate of return must you earn to achieve your goal?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…
- 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…You are going to retire in 40 years and currently have $100,000. What average annual return would you have to earn on your investment to have $1 million by the time you retire?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…
- 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 $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 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?
- 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 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 processAssume that you are saving up for a trip around the world when you graduate in two years. If you can earn 8% on your investments, how much would you have to deposit today to have $15,000 when you graduate?