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Choose the appropriate formula type for answering the following question:
Suppose you want to have $410,500 for retirement in 15 years. Your account earns 6.5% interest. How much would you need to deposit in the account each month?
Loan/Payout Annuity
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Solved in 3 steps
- You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityCalculating interest earned and future value of savings account. If you put 6,000 in a savings account that pays interest at the rate of 3 percent, compounded annually, how much will you have in five years? (Hint: Use the future value formula.) How much interest will you earn during the five years? If you put 6,000 each year into a savings account that pays interest at the rate of 4 percent a year, how much would you have after five years?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?
- 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?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.How much must you deposit each year into your retirement account starting now and continuing through year 10 if you want to be able to withdraw $80,000 per year forever, beginning 31 years from now? Assume the account earns interest at 15% per year. What is the answer, and how can I get it?
- 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.b) Suppose you begin saving for your retirement by depositing $2,000 per year in an IRA. If the interest rate is 7.5%, how much will you have in 40 years if the payments are made: at the end of the year (ordinary annuity)? at the beginning of the year (annuity due)?Suppose you have estimated that you will need $2,500 per month in your retirement to meet your expenses and live comfortably, and that you have found or chosen a fund (account) which pays monthly interest 4% APR . What principal, or balance, will your account need to maintain in order to be able to pay you this amount each month? Round/take your answer to the nearest cent.
- Suppose you want to have $800,000 for retirement in 25 years. Your account earns 7% interest.a) How much would you need to deposit in the account each month?$b) How much interest will you earn?$(Use Calulator or Formula Approach) You want to receive $5,000 per month in retirement. If you can earn 0.75% per month and you expect to need the income for 25 years, how much do you need to have in your account at retirement?Suppose you want to have $300,000 for retirement in 30 years. Your account earns 5% interest. a ) How much would you need to deposit in the account each month? $ b) How much interest will you earn?
