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\mbox{NPV} = R_0 + \mbox{DCF} = R_0 + \sum_{i=01}^n \frac{R_i}{(1+r)^i} = R_0 + \sum_{i=10}^n \frac{R_i}{(1+r)^i} = R_0 + \mbox{DCF}

where

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bodyn

total number of time steps (usually time step is one year)

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bodyt_i

time passed since the first investment ( assuming that 

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bodyt_0 = 0
)

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bodyr

discount rate

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bodyR_i = \rm CashIn_i - \rm CashOut_i

the net cash flow at time step 

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bodyt_i

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bodyR_0 = - \rm Initial \ Investments = - CashOut_0

the volume of cash investment at initial time moment 

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bodyt_0 = 0

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