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I've uploaded a different picture that is clearer. I can't make it any bigger without cropping out some of the text. Please no finance? This

I've uploaded a different picture that is clearer. I can't make it any bigger without cropping out some of the text. Please no finance? This is an Intro to Finance Class...and i've listed it in finance... image text in transcribed

Many assets provide a series of cash flows over time; and many obligations require a series of payments. When the payments am equal and are made at fixed intervals, the series is an annuity. There are three types of annuities: Ord (deferred) annuity, Annuity due. and Crowing annuity. One can find an annuity's future and present values, the interest rate buillt into annuity contracts, and the length of time it takes to reach a financial goal using an annual Growing annuities are often used in the area of financial planning. Their analysis is more complex and often easier solved using a financial spreadsheet, so we will limit our discussion here to the first two types of annuities. The future value of an ordinary annual. FV. is the total amount one would have at the end of the annuity period if each payment (PMT) were invested at a given interest rate and held to the end of the annuity period. The equation is: FVA_s- PMT [(1+ n^m -1/1]' Each payment of on annuity due is compounded for one period, so live future value of an annuity due is equal to the future value of an ordinary annuity compounded for one period. The equation FVA = FVA (1 + I) the present value of an ordinary annuity, PVA. is the value today that would be equivalent to the annuity payments (PMT) received at fixed Intervals over the annuity period. The equation is: PVA_N = PMT Each payment of an annuity due is discounted for one period, so the present value of an annuity due is equal to the present value of an ordinary annuity multiplied by (1 + I). The equation rs: PVA = PVA_ordinary(1 +1) One can solve for payments (PMT). periods (N), and Interest rates (I) for annuities. The easiest way to solve for these variables is with a financial calculator or a spreadsheet. Quantitative Problem 1: You plan to deposit $2.200 per year for 5 years into a money market account with an annual return of 3%. You plan to make your first deposit one year from today. What amount will be in your account at the end of 5 years? Round your answer to the nearest cent. Do not round intermediate calculations. Assume that your deposits will begin today. What amount will be in your account after 5 years? Round your answer to the nearest cent. Do not round intermediate calculations. $ Quantitative Problem 2: You and your wife are making plans for retirement. You plan on living 25 years after you retire and would like to have $95,000 annually on which to live. Your first withdrawal be mode one year after you and you anticipate that your retirement account will earn 12% annually. What amount do you need .n your retirement account the day you retire Round your answer to the nearest cent. Do not round .intermediate cent calculations. Assume that your first withdrawal will be made the day you retire. Under this assumption, What amount do you new need in your retirement account the day you retire? Round your answer to t-e nearest cent. Do not round Intermediate calculations. $

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