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Future Values Present Values Annuities Rates of Return Amortization

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0 1 23 I % Show the time of cash flows This is only used for compounding interest Tick marks occur at the end of periods, so time 0 is today; time 1 is the end of the first year, month, ect. Or the beginning of the second period.

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$100 Lump sum due in 3 years 3 year $100 ordinary annuity 0 1 230 1 23 I % 100

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After year 1: FV(1)= PV (1+I)= $100 * 1.10 = $110 After 2 years: FV(2)= PV(1+I)= $110*1.10 = 121 REPEAT THIS FOR TOTAL # OF YEARS 0 1 23 10% 100

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0 1 23 10% 100

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FV: Future Values PV: Present Value N: The number of Periods I: The interest rate you are working with Pmt: Payments per year (like annuities)

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