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please answer those all THANKS FVAdue = FVA ordinary (1+I) The present value of an ordinary annuity, PVAN, is the value today that would be
please answer those all
THANKS
FVAdue = FVA ordinary (1+I) The present value of an ordinary annuity, PVAN, is the value today that would be equivalent to the annuity payments (PMT) received at fixed intervals over the annuity period. The equation is: PVAN=PMT[**] Each payment of an annuity due is discounted for one less 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 is: PVA due=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 $1,800 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. a. What amount will be in your account at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent. b. Assume that your deposits will begin today. What amount will be in your account after 5 years? Do not round intermediate calculations. Round your answer to the nearest cent. Quantitative Problem 2: You and your wife are making plans for retirement. You plan on living 30 years after you retire and would like to have $90,000 annually on which to live. Your first withdrawal will be made one year after you retire and you anticipate that your retirement account will earn 10% annually. a. What amount do you need in your retirement account the day you retire? Do not round intermediate calculations. Round your answer to the nearest cent. b. Assume that your first withdrawal will be made the day you retire. Under this assumption, what amount do you now need in your retirement account the day you retire? Do not round intermediate calculations. Round your answer to the nearest cent. Similarly, the future value of an uneven cash flow stream is the sum of the FVs of the individual cash flows. Many calculators have an NFV key that lets you obtain the FV. However, if your calculator doesn't have a net future value (NFV) key, you can calculate the NFV as follows: NFV - NPV x (1 + I)N. using the IRR key. One can also find the interest rate of the uneven cash flow stream with a financial calculator and solving for the internal rate of return (IRR) Quantitative Problem: You own a security with the cash flows shown below. 2 3 610 360 230 320 If you require an annual return of 10%, what is the present value of this cash flow stream? Do not round intermediate calculations. Round your answer to the nearest centStep by Step Solution
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