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Annualized Value lntroduction Where: $/UInit I CashFlow- Nominal Year Figure 4 4 . LeveIized cost of energy cash flows The annualizing process transforms a swing of cash flows (FJ into equivalent m u d streams. Cash flows are discounted to their net present value and then annualized by multiplying the present value of the cash flow by the uniform capital recovery factor (UCRF); i.e., [d(l + dy] i [(1 + d)" - I]. This is similar to the annualization of required revenues mentioned at the end of the Revenue Requirements subsection and can be done with a single equation that combines the NPV and capital recovery factor calculations. NPV = F, / (1 +d)" AV =UCRFxNPV = UCRFxENn=Fnl/(1+d)" (4-13) NPV = net present value AV = annualizedvalue Fn = cash flow in period n UCRF = uniform capital recovery factor d = discountrate. Discussion This formula can be simplified if the cash flow Fnis escalating at a constant rate A€? NPV = zNn[F=,,(l+My]/(1+d)" =Fo k" = Fo[k(l-k")/(I-k)] (4-14) 51PDF Image | A Manual for the Economic Evaluation of Energy Efficiency and Renewable Energy Technologies
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