A) Mr. wise is retiring in 25 years. He would like to accumulate $1,000,000 for his retirement fund by then. He plans to make equal monthly payments to achieve his goal. If the rate of return on the retirement fund is 12% (APR), what will his monthly payments be? B) Mr. Wise makes payments (as per part A) for the first ten years and stops making payments afterwards due personal problems. How much would he have accumulated at the time of retirement assuming that the accumulated amount keeps on earning interest at the stated rate on a monthly basis?
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- 2.Selyn Cohen is 63 years old and recently retired. He wishes to provide retirement income for himself and is considering an annuity contract with the Philo Life Insurance Company. Such a contract pays him an equal-dollar amount each year that he lives. For this cash-flow stream, he must put up a specific amount of money at the beginning. According to actuary tables, his life expectancy is 15 years, and that is the duration on which the insurance company bases its calculations regardless of how long he actually lives. (A) If Philo Life uses a compound annual interest rate of 6 percent in its calculations, what must Cohen pay at the outset for an annuity to provide him with $10,000 per year? (Assume that the expected annual payments are at the end of each of the15 years.)Mr. X to retire at age 65 and believes that he can live comfortably with an annual pension of $76,000, to be withdrawn at the beginning of each year in his retirement. Suppose his pension account will generate 9% of annual interest rate, and suppose Mr.X believes tgat he will live to 100. In order to have sufficient money for his retirement , what is the minimum amount that Mr. X must have saved up in his pension account at the time of his retirement at of 65?C. Fred is planning on retiring this year. How much must his retirement account have in it this year in order to make a $40,000 payment each year for the next 30 years to meet his needs assuming that the appropriate interest rate is 8%?*
- Charles wants to retire in 18 years. At that time he wants to be able to withdraw $22,000 at the end of each year for 18 years. Assume that money can be deposited at 6% per year compounded annually. What exact amount will Charles need to deposit today to have enough to cover his retirement? Show the use of the appropriate formula by indicating the use of the information into the formula.EZ Leifer plans to retire at the age of 65 and believes he will live to be90. EZ wants to receive an annual retirement payment of $50,000 at thebeginning of each year. He sets up a retirement account that is estimated toearn 6 percent annually.a. How much money must EZ have in the account when he reaches 65 yearsold?b. EZ is currently 29 years of age. How much must he invest in this accountat the end of each year for the next 36 years to have the required amount inhis account at age 65?1. Bill has an emergency fund already set aside, so he can use his $400,000 of savings for retiremenr. How much can he withdraw on a monthly basis to supplement his retirement annuity if his investments return 5 percent annually and he expects to live 30 years? 2. Ignoring his Social Secuirty benefit, is the amount determined in question 1 sufficient to meet his current monthly expenses (keep in mind that he will receive a pension of $2,800 per month)? If not, how long will his retirement last if his current expenses remain the same? What if his expenses are reduced to $4,500 per month?
- When John Michael retired, he had a retirement account with a $910,000 balance. He decided that he would use this account to provide 30 years of equal monthly payments. It is now 19 years later and John Michael just received his 228th montly check. Looking ahead, he can see that he needs to stretch his payments over another 16 years rather than the eleven more he had originally planned. If he does this, how large will his new montly payments be? Assume he earns interest at the APR of 9% compounded monthly throughout his retirement.Carla Lopez deposits $2,500 a year into her retirement account. If these funds have an average earnings of 5 percent over the 40 hears until her retirement, what will be the value of her retirement account?Ginger Rogers deposits $3,000 a year into her retirement account. If these funds have an average earning of 8 percent over the 40 years until her retirement, what will be the value of her retirement account?
- You plan to retire in 20 years. At the point of retirement, you want to be able to withdraw 25478 at the end of each year forever. Assume that you earn a 7.11% rate of return prior to retirement and an 4.54% rate of return after retirement. If you do not want to make any further contributions to your retirement fund, how much do you need today? Round answer to the nearest dollar.Daryl wishes to save money to provide for his retirement. He is now 30 years old and will be retiring at age 64. Beginning one month from now, he will begin depositing a fixed amount into a retirement savings account that will earn 12% compounded monthly. Then one year after making his final deposit, he will withdraw $100,000 annually for 25 years. In addition, and after he passes away (assuming he lives 25 years after retirement) he wishes to leave in the fund a sum worth $1,000,000 to his nephew who is under his charge. The fund will continue to earn 12% compounded monthly. How much should the monthly deposits be for his retirement plan?Assume that your father is now 50 years old, that he plans to retire in 10 years, and that he ex- pects to live for 25 years after he retires, that is, until he is 85. He wants a fixed retirement in- come that has the same purchasing power at the time he retires as $40,000 has today (he real- izes that the real value of his retirement income will decline year by year after he retires). His retirement income will begin the day he retires, 10 years from today, and he will then get 24 ad- ditional annual payments. Inflation is expected to be 5 percent per year from today forward; he currently has $100,000 saved up; and he expects to earn a return on his savings of 8 percent per year, annual compounding. To the nearest dollar, how much must he save during each of the years (with deposits being made at the end of each year) to meet his retirement goal? 6-22 Required annuity payments next 10