Assume that Social Security promises you $34,000 per year starting when you retire 45 years from today (the first $34,000 will get paid 45 years from now). If your discount rate is 6%, compounded annually, and you plan to live for 12 years after retiring (so that you will receive a total of 13 payments including the first one), what is the value today of Social Security's promise?
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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 annuityAssume that Social Security promises you $40,000 per year starting when you retire 45 years from today (the first $40,000 will come 45 years from now). If your discount rate is 7%, compounded annually, and you plan to live for 20 years after retiring (so that you will get a total of 21 payments including the first one), what is the value today of Social Security's promise?Assume that Social Security promises you $40,000 per year starting when you retire 45 years from today (the first $40,000 will come 45 years from now). If your discount rate is 7%, compounded annually, and you plan to live for 15 years after retiring (so that you will get a total of 16 payments including the first one), what is the value today of Social Security´s promise?
- Assume that Social Security promises you $30,000 per year starting when you retire 45 years from today (the first $30,000 will get paid 45 years from now). If your discount rate is 5%, compounded annually, and you plan to live for 18 years after retiring (so that you will receive a total of 19 payments including the first one), what is the value today of Social Security's promise? The value today of Social Security's promise is $ (Round to the nearest cent.)You are offered an annuity that will pay $11,000 per year for 24 years (the first payment will occur one year from today). If you feel that the appropriate discount rate is 12%, what is the annuity worth to you today? $914,490.09 $1.299,707.65 $95,902.77 $1,455,672.57 $85.627.47 You are told that if you invest $10,900 per year for 12 years (all payments made at the end of each year) you will have accumulated $670,000 at the end of the period. What annual rate of return is the investment offering? 29.99% 23.63% 20.63% 26.99% 33.44%It is estimated that you will pay about $80,000 into the Social Security system (FICA) over your 40-year work span. For simplicity, assume this is an annuity of $2,000 per year, starting with your 26th birthday and continuing through your 65th birthday. Solve, a. What is the future equivalent worth of your Social Security savings when you retire at age 65 if the government’s interest rate is 6% per year? b. What annual withdrawal can you make if you expect to live 20 years in retirement? Let i= 6% per year.
- You would like to have enough money saved to receive a growing annuity for 25 years, growing at a rate of 4% per year, the first payment being $60,000 after retirement, so that you and yourfamily can lead a good life. How much would you need to save in your retirement fund toachieve this goal? (assume that the growing perpetuity payments start one year from the date ofyour retirement. The interest rate is 12%)?You are offered an annuity that will pay $4,250 per quarter for 8 years (first payment made today). If you feel that the appropriate discount rate is 12%, what is the annuity worth to you today?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.
- Your insurance company offered you an annuity that pays you $100 at the end of each year. The life of the annuity is 10 years. Assume that market interest rate you can earn on similar risky investments is 8%. What should be the present value of this annuity? If you are given the first payment immediately starting today, what should be the worth of this annuity? Which payment mode will you accept? What will be basis of your decision under time value of money concept?You would like to have enough money saved to receive a $90,000 per year perpetuity after retirement. The annual interest rate is 8 percent. Required: How much would you need to have saved in your retirement fund to achieve this goal? a) Assume that the perpetuity payments start on the day of your retirement. b) Assume that the perpetuity payments start one year from the date of your retirement.Suppose you wish to invest in an annuity so that you will have $120,000 at some future date for your child’s education. You call several institutions and find that the best interest rate is 5.85% compounded monthly. In addition, you wish to make $350 monthly installments, with payments made at the end of each period. If you expect to attain this goal and give your child the $120,000 by his/her 18th birthday, about how long after he/she is born do you need to start investing in the annuity? Type an explanation and/or the calculations used to arrive at your answer. Construct the payment schedule for the first 6 payments by filling in the table below: period interest cum. int. principal balance 0 1 2 3 4 5 6