Question: Derive (5) from (1). The original equations for (Net) Present Value of all streams of even cash flows: NPV = CF_0 + CF_1/(1 + r)^1

Derive (5) from (1).
 Derive (5) from (1). The original equations for (Net) Present Value

The original equations for (Net) Present Value of all streams of even cash flows: NPV = CF_0 + CF_1/(1 + r)^1 + CF_2/(1 + r)^2 +...+ CF_N/(1 + r)^N +... NPV = (PMT) + PMT/(1 + r)^1 + PMT/(1 + r)^2 +...+ PMT/(1 + r)^N +... However, we have "short-cut" formulas for cash flow streams with even cash flows of equal amounts: Perpetuity of N payments going into infinity happening at the end of each year PV (Perpetuity) = PMT/r

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