9. Calculating Annuity Values If you deposit $5,000 at the end of each year for the next 20 years into an account paying 10.1 percent interest, how much money will you have in the account in 20 years? How much will you have if you make deposits for 40 years?
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- 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 annuityUse 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?
- Calculating 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?You have received a settlement from an insurance company which will pay you $100,000 per year for 12 years at the end of each year and J.G. Wentworth wants to buy your annuity. What is JG Wentworth’s annual rate of return (interest rate) if they are willing to pay you $500,000 today? 7.56% 18.21% 16.94% Interest rate cannot be calculated.1.What is the amount a person would have to deposit today (present value) at 11 percent interest rate to have $8500 saved 9 years from now. 2.What is the amount you would have to deposit today to be able to take out $2070 a year for 2 years from an account earning 14 percent. 3.If you desire to have $38300 for a down payment for a house in 11 years, what amount would you need to deposit today? Assume that your money will earn 4 percent.
- Q10. You are saving for retirement. To live comfortably, you decide you will need to save $1 million by the time you are 65. Today is your 28th 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 8%, how much must you set aside each year to make sure that you will have $1 million in the account on your 65th birthday? Question content area bottom Part 1 The amount to deposit each year is $ enter your response here. (Round to the nearest dollar.)you make deposits for 40 years? 10. Calculating Perpetuity Values Larry's Life Insurance Co. is trying to sell you an investment policy that will pay you and your heirs $25,000 per year forever. If the required return on this investment is 4 percent, how much will you pay for the policy? 11. Calculating Perpetuity Values In the previous problem, suppose Larry's told you the policy costs $645 000 At uk LO 1 LO 1You just inherited some money, and you decide to put $70,000 in an account that pays 3.25% interest, which you will use to establish an annuity that will pay for your vacations for the next ten years. How much can you withdraw from the account in each of the ten years? $8,044.56 $7,826.10 $6,241.51 $8,311.18
- After retirement, you expect to live for 25 years. You would like to have $91,000 in income each year. How much should you have saved in your retirement account to receive this income if the annual interest rate is 9 percent per year? (Assume that the payments start one year after your retirement) Multiple Choice $1,472.33173 $893,85474 $2,275,000.00 $101,089.74You want to have $67,000 in your savings account 10 years from now, and you're prepared to make equal annual deposits into the account at the end of each year. If the account pays 6.3 percent interest, what amount must you deposit each year? Group of answer choices $6,700.00 $5,011.98 $4,221.01 $4,220.99 $9,350.13Consider a growing perpetuity that will pay $100 in one year. Each year after that, you will receive a payment on the anniversary of the last payment that is 6% larger than the last payment. This pattern of payments will continue forever. If the interest rate is 11%, then the value of this perpetuity is closest to: Group of answer choices $1,667 $588 $2000 $909