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As an example, aSsurne a discount rate of 5% and a cash i d o w of $1 one yea Erom now. Using the formula above, the present value is as follows: PV = (I +0.05)x $1 = 0.9524 x $1= $0.95 -. The $0.95 is approximately the present value of the future cash inflow of $1. Conversely, if $0.95 was invested at a 5% interest rate, it would be worth approximately $1 one year from now. This example determinesthepresentvalueofacashflowexactlyoneyearinthefblme. Thesamebasicformulacan beusedtoevaluatecashflowsinmyfutureperiodorfromnowtosomepointinthefuture. Inthislatter case, the present value is a sum of the present value of each future year's cash flow, i.e., For example, assume a cash inflow of $1 one year from now and a cash inflow of $5 two years from now at an annual discount rate of 5% The present vdtlue of this inflow is asfollows: PV, = I x $1 = 0.9524 x $1 = $0.95 (2-10) (1 + 0.05)' (2-11) Once these future cash inflows are converted to present value, they can be added. From the previous PV, = (1 + x $5 = 0.9070 x $5 = $4.54 calculations,the following table can be constructed: Table24. PresentValueCalculationTable Period 1 2 Cash Flow $1 $5 PVlF 0.9524 0.9070 Present Value $ 0.95 $ 4.54 PV=$5.49 TheexampleinTable2-4requiredcalculatingthepresentvalueforeachoftwofuturecashflaws. This calculationisnecessarywheneachhturecashflowisunevenordiffersinamount. Butwhenfruturecash flows are fixed in size and regularly occur over a specific number of periods, the situation is known as 13PDF Image | A Manual for the Economic Evaluation of Energy Efficiency and Renewable Energy Technologies
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