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@wikipediaA popular mechanism


One of measuring the discounted cash flow value of the profitthe efficiency metrics of Financial Investment, defined as a difference between total DCF and Initial Investment

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body--uriencoded--\mbox%7BI%7D_0
:

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\mbox{NPV} =  - \mbox{I}_0 + \mbox{DCF}  =  - \mbox{I}_0 + \sum_{i=01}^n \frac{R_\mbox{tiFCF}_i}{(1+r)^{t_i}^i} = R_0 + \sum_{i=10}^n \frac{R_\mbox{tiFCF}_i}{(1+r)^{t_i^i}}

where

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bodyn

total number of
time steps
 accounting periods 

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body

t_

i

time passed since the first investment ( assuming that 
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bodyt_0 = 0

= 0, 1, 2, 3, ...

running number of accounting period (usually 1 year)

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bodyr

= \rm \frac{Cash_{out} - Cash_{in}}{Cash_{in}}

the 
discount rate
, i.e. the return that could be earned per unit of time on an investment with similar risk, which is assumed constant over time

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body

R_{ti}

--uriencoded--\mbox%7BFCF%7D_i = \rm

Cash_{in}(t

CashIn_i

)

- \rm

Cash_{out}(t

CashOut_i

)

the net
at time step 

 generated during the

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body

t_

i

mathinline

bodyR_0 = - \rm Cash_{out}(t=0)

the volume of cash investment at initial time moment 

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bodyt_0 = 0


The main idea of NPV is to start wth the statement that value of cash today is higher than value of cash tomorrow because immediate cash can be safely invested today invested readily available investment market opportunities and start brining some profit.
In a sense,

NPV is showing a value of given investment as against a competitor in the form of the available market investment opportunities NPV dictates that commercial project should not only be just profitable but instead should be on par with or more profitable than easily available investment alternatives.

The corporate investment policy usually dictates that:


See also

...

Economics / Investment / Financial Investment / Financial Investment Metrics

Profitability Index (PI) ] [ Discounted Cash Flows (DCF) ] [ Internal Rate of Return (IRR) ][ ΔNPV ]

[ Production NPV ]