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I Period 1 2 Cash Flow $1 $5 PVlF 0.9524 0.9070 PresentValue I $0.95 $4.54 Period 1 2 Cash Flow PVlF $1 $5 0.9524 Present Value $1 .oo $4.76 PV=$5.76 TableE-I, PresentValuefor End-of-PeriodCashFlows PV=$5.49 If it is now assumed that these cash flows occur at the beginning of the period instead of the end of the period, the present value calculation changes as follows: TableE-2. PresentValueforBeginning-of-PeriodCashFlows The present value of the cash flow stream is now $5.76. This value is greater than the value calculated when the cash flows occurred at the end of the period because $1 was received today and $5 wits received at the beginning of period 2 instead of at the end of it. Under ordinary circumstances (i.e., cash flows occurring at the end of a period), the following is true: where e denotes end-of-periodcash flows. In the case of beginning-of-period cash flows, the formula is transformed as follows: where b denotes beginning-of-period cash flows. E-2PDF Image | A Manual for the Economic Evaluation of Energy Efficiency and Renewable Energy Technologies
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