Page tree

@wikipedia


One of the efficiency metrics of Financial Investment defined as:

(1) \mbox{PVI} = \frac{\mbox{PV}[CF^+]}{\mbox{PV}[CF^-]}

where

CF^+ = \{ CF^+_0, \ CF^+_1, \ CF^+_2, \ ... \}

Cash Inflows

PV_r[CF^+]

Present Value of future Cash Inflows  CF^+

CF^- = \{ CF^-_0, \ CF^-_1, \ CF^-_2, \ ... \}

Cash Outflows

PV_r[CF^-]

Present Value of future Cash Outflows  CF^-


In case of:

  • Cash Flows CF consist of only positive inflows starting from t = 1: \{ CF^t >0 \} _{t>0} 
  • Cash Outflows  CF^- consist of only one initial investment  I_0: CF^- = \{ CF^-_0 = I_0, \ 0, \ 0, \ ... 0 \} 

then equation  (1) turns into conventional Profitability Index equation:

(2) \mbox{PVI} = \frac{\mbox{PV}[CF^+]}{\mbox{PV}[CF^-]} = \frac{\mbox{PV}[CF^+]}{I_0} = 1 + \frac{NPV}{I_0}


The key difference with NPV is that PVI shows a value of returns per unit cash invested.  

This particularly means that some Projects with higher NPV may be less attractive in PVI terms than Projects with lesser NPV as they require a higher Initial Investment.

This allows a fair comparison of investment efficiency between two investment projects with different Initial Investment volumes.


The corporate investment policy usually dictates that:


The quantification of Project's is performed individually for each Project based on its nature.


Weighing the Project's risks against PVI to include to or exclude from  Investment Package is based on the Corporate Investment Policy.


See also


Economics / Investment / Financial Investment 

Net Present Value (NPV) ][ Profitability Index (PI) ]



  • No labels