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9. Present value of annuities and annuity payments Aa Aa The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. O An annuity that pays $500 at the beginning of every six months O An annuity that pays $500 at the end of every six months O An annuity that pays $1,000 at the end of each year O An annuity that pays $1,000 at the beginning of each year An ordinary annuity selling at $9,697.45 today promises to make equal payments at the end of each year for the next eight years (N). If the annuitys appropriate interest rate (1) remains at 8.00% during this time, the annual annuity payment (PMT) will be You just won the lottery. Congratulations! The jackpot is $85,000,000, paid in eight equal annual payments. The first payment on the lottery jackpot will be made today. In present value terms, you really won assuming an annual interest rate of 8.00%. $122,055,302.037 $65,942,681.88 $61,058,038.78 $113,014,168.553David needed money for some unexpected expenses, so he borrowed $5,464.40 from a friend and agreed to repay the loan in eight equal installments of $1,100 at the end of each year. The agreement is offering an implied interest rate of Davids friend, Keanu, has hired a financial planner for advice on retirement. Considering Keanus current expenses and expected future lifestyle changes, the financial planner has stated that once Keanu crosses a threshold of $4,991,331 in savings, he will have enough money for retirement. Keanu has nothing saved for his retirement yet, so he plans to start depositing $85,000 in a retirement fund at a fixed rate of 12.00% at the end of each year. It will take years for Keanu to reach his retirement goal

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