a) Approximately how long (approximate years) would it take if you put in a lump sum to double at the rate above? b) How much will you have after 43 years if you deposit $5,214 at the end of each year? c) How much will you have after 43 years if instead, you deposit $100 at the end of each week instead (forget about the leap years, pretend there are 52.14 weeks per year for the next 43 years) at the same growth rate?
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- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.
- You have decided you would like to deposit $5,000 into your account today and not touch it until you retire in 45 years. You would like to have accumulated $80,000 at retirement from this deposit if your savings account pays interest quarterly. a)What would your nominal required rate of return (% per annum) be on this deposit? b)What would your effective annual rate of return be on this deposit?You are planning to invest $3,000 in an account earning 7% per year for retirement. a. If you put the $3,000 in an account at age 23, and withdraw it 50 years later, how much will you have? b. If you wait 10 years before making the deposit so that it stays in the account for only 40 years, how much will you have at the end? a. If you put the $3,000 in an account at age 23, and withdraw it 50 years later, how much will you have? In 50 years you would have $______. (Round to the nearest cent.)You decide to replace your income of $70,000 a year in retirement for 30 years. How much do you need in your retirement account the day you retire to make that happen, assuming a real interest rate of 3%?
- Suppose you wish to retire forty years from today. You determine that you need $50,000 per year once you retire, with the first retirement funds withdrawn one year from the day you retire. You estimate that you will earn 6% per year on your retirement funds and that you will need funds up to 25 years after retirement. Use the PV of an ordinary annuity due formula. a) Calculate the amount you must deposit in an account today so that you have enough funds for retirement b) Calculate the amount you must deposit each year, starting one year from today, so that you have enough funds for retirement.You are planning to invest $2,000 in an account earning 10% per year for retirement. If you put the $2,000 in an account at age 23, and withdraw it 44 years later, how much will you have? If you wait 10 years before making the deposit, so that it stays in the account for only 34 years, how much will you have at the end? If you put the $2,000 in an account at age 23, and withdraw it 44 years later, how much will you have? (Round to the nearest cent.)Suppose you plan to retire at age 70, and you want to be able to withdraw an amount of $60,000 per year on each birthday from age 70 to age 100 (a total of 31 withdrawals). If the account which contains your savings earns 6.6% per year simple interest, how much money needs to be in the account by the time you reach your 70th birthday?
- To supplement your retirement, you estimate that you need to accumulate $290,000 exactly 41 years from today. You plan to make equal, end-of-year deposits into an account paying 8% annual interest. a. How large must the annual deposits be to create the $290,000 fund by the end of 41 years? b. If you can afford to deposit only $800 per year into the account, how much will you have accumulated in 41 years?Suppose you are 30 years old and would like to retire at age 65. Furthermore, you would like to have a retirement fund from which you can draw an income of $100,000 per year-forever! How much would you need to deposit each month to do this? Assume a constant APR of 5% and that the compounding and payment periods are the same. To draw $100,000 per year, there must be $in your savings account when you retire. (Do not round until the final answer. Then round to the nearest integer as needed.) You can reach your goal by making monthly deposits of $ (Do not round until the final answer. Then round to two decimal places as needed.)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…