Consider an annuity of payments of 2.500$ at the end of every second year. What is the present value of this annuity if it runs for ten years and the interest rate is j1 = 7%?
PV=C⋅1−(1+i)−niPV=C\cdot \frac{1-(1+i)^{-n}}{i}PV=C⋅i1−(1+i)−n
where C is cash flow per period,
i is interest rate,
n is number of payments
PV=2500⋅1−(1+0.07)−50.07=10250.49$PV=2500\cdot \frac{1-(1+0.07)^{-5}}{0.07}=10250.49\$PV=2500⋅0.071−(1+0.07)−5=10250.49$
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