Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

@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 ]

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
body

...

n

total number of accounting periods 

LaTeX Math Inline
body

...

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

...

running number of accounting period (usually 1 year)

LaTeX Math Inline
bodyr

...

...

...

LaTeX Math Inline
body

...

LaTeX Math Inline
bodyR_{ti} = \rm Cash_{in}(t_i) - \rm Cash_{out}(t_i)
 – the net cash flow at time step t. 

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

free cash flow generated during the

LaTeX Math Inline
bodyi
-th accounting period


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 ]

LaTeX Math Inline
bodyR_0 = - \rm Cash_{out}(t=0)
 – the volume of cash investment at initial time moment 
LaTeX Math Inline
bodyt_0 = 0
.