Page tree

Versions Compared

Key

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

[ See also Net Present Value @ Wikipedia ]


LaTeX Math Block
alignmentleft
NPV = \sum_{t=0}^N \frac{R_t}{(1+i)^t} = R_0 + \sum_{t=1}^N \frac{R_t}{(1+i)^t}

where

LaTeX Math Inline
bodyt
 – time moment since the first investment,

iImage Added – the discount rate, i.e. the return that could be earned per unit of time on an investment with similar risk

LaTeX Math Inline
bodyN
 – total number of time steps

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

LaTeX Math Inline
bodyR_0 = - \rm Cash_{out}(t=0)
 – the initial investment at time step t = 0.