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saco FHUIS 5-4 TIME FOR A LUMP SUM TO DOUBLE If you deposit money today in an account that pays 6.5% annual interest, how long will it take to double your money? 5-7 ordinary typy future value bei PRESENT AND FUTURE VALUES OF A CASH FLOW STREAM An Investment will pay $100 at the end of each of the next 3 years, 5200 at the end of Year 4,5300 at the end of Year 5, and $500 at the end of Year 6. If other investments of equal risk eam 8% annually, what is its present value? its future value? buy a car, and a local bank will lend you 5-14 d. 100% FUTURE VALUE OF AN ANNUITY Find the future values of these ordinary annuities Compounding occurs once a year. $400 per year for 10 years at 10% b. $200 per year for 5 years at 5% $400 per year for 5 years at 0% d. Rework Parts a, b, and c assuming they are annuities due Find the present ulues of these ordinary amuities, 5-19 TV Of the streams at U compound FUTURE VALUE OF AN ANNUITY Your client is 40 years old, and she wants to begin saving for retirement, with the first payment to come one year from now. She can save 35.000 per year; and you advise her to invest it in the stock market, which you expect to provide an average retum of 9% in the future a. If she follows your advice, how much money will she have at 65? b. How much will she have at 707 She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age