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@wikipedia


One of the efficiency metrics of Financial Investment, defined as a difference between total DCF and Initial Investment

LaTeX Math Inline
body--uriencoded--\mbox%7BI%7D_0
:

[ See also Net Present Value @ Wikipedia ]

A popular mechanism of measuring the profit  with account discount

LaTeX Math Block
alignmentleft
\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

LaTeX Math Inline
bodyn

total number of
time steps
 accounting periods 

LaTeX Math Inline
body

t_

i

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

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

running number of accounting period (usually 1 year)

LaTeX Math Inline
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

LaTeX Math Inline
body

R_{ti}

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

Cash_{in}(t_i)

CashIn_i - \rm

Cash_{out}(t

CashOut_i

)

the net
at time step 

 generated during the

LaTeX Math Inline
body

t_

i

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

the volume of cash investment at initial time moment  LaTeX Math Inlinebodyt_0 = 0


The main idea of NPV is that value of cash today is higher than value of cash tomorrow because immediate cash can be invested readily available investment market opportunities and start brining some profit.

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 ]