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PV*SOL Expert 6.0 - Manual - Valentin Software

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4.7 Economic Efficiency Calculation<br />

The economic efficiency calculation in <strong>PV*SOL</strong>®, according to the net present value<br />

method, is based on the following formulae:<br />

The cash value (CV) of a price-dynamic payment sequence Z, Z*r, Z*r² ... over T years<br />

(lifetime) as per VDI 6025 is:<br />

q: Simple interest factor (e.g. 1.08 at 8 % simple interest)<br />

r: Price change factor (e.g. 1.1 at 10 % price change)<br />

The following applies for the net present value:<br />

Net present value of the total investment = Σ -dynamic [CV of the payment price sequences<br />

over the lifetime] - investment + subsidies<br />

Positive net present values indicate an investment which can be assessed as economically<br />

positive. The pay-back time is the period the system must operate for the investment to<br />

yield a net present cash value of the overall investment of zero. Pay-back times of over 30<br />

years are not supported. If the CV of the costs is converted into a constant sequence of<br />

payment (r=1), then the following applies to this sequence Z:<br />

Z = [CV of costs] * a(q,T) with a(q,T): Annuity factor ( = 1 / b(T,q,r) for r=1)<br />

The following applies for the electricity production costs:<br />

[Electricity production costs] = [annual costs Z] / [annual electricity generation]<br />

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