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Analysis of Organic Rankine Cycles for a Boiler Station

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Analysis of Organic Rankine Cycles for a Boiler Station ( analysis-organic-rankine-cycles-boiler-station )

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of the benefits and costs of the project, i.e. NPV = PV(Benefits) − PV(Costs) (2.47) If positive cash flows are used to represent benefits and negative cash flows are used to represent costs the NPV can also be expressed as NPV = PV(All project cash flows) (2.48) The present value of a future cash flow, C, n years forward in time using a discount rate of r, is calculated as PV = C (1+r)n Incorporating inflation, i, in the PV expression we have that 􏱃1+i􏱄n (2.49) PV= 1+r C If we define C as the net cash flow occuring during year n, the NPV of the project is determined as with the value [52] 2.5.2 Discount Rate NPV = C · 􏲖N 􏱃 1 + i 􏱄 n 1+r ·C (2.51) 􏰤 1 − 􏰢 1+i 􏰣n+1 􏰥 1+r 1 − 􏰢 1+i 􏰣 , r ̸= 0 (2.52) 1+r NPVs = It can be shown that for a constant net cash flow, C, the NPV reduces to a finite geometric series n=0 (2.50) The rate used to discount future cash flows to the present value, referred to as the discount rate, r, is an important parameter of the NPV and must be chosen carefully. Often the discount rate is set equal to the companies weighted average cost of capital (WACC), which is the average cost of capital the firm must pay to all of its investors to compensate them for the risk of holding the firm’s debt and equity together. Another alternative is set to the discount rate equal to the interest rate which the company can expect to return from alternative, competing projects. This would allow for a direct comparison of the alternatives. The WACC, for a company financed only by debt and equity, is formulated as WACC = D · Cd + E · Ce · (1 − T ) (2.53) D+E D+E 36

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