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LaTeX Math Inline
bodyn

total number of time steps (usually time step is one year)

LaTeX Math Inline
bodyt_i

time passed since the first investment ( assuming that 

LaTeX Math Inline
bodyt_0 = 0
)

LaTeX Math Inline
bodyr = \rm \frac{Cash_{out} - Cash_{in}}{Cash_{in}}

discount rate

LaTeX Math Inline
bodyR_{t_i} = \rm Cash_{in}(t_i) - \rm Cash_{out}(t_i)

the net cash flow at time step 

LaTeX Math Inline
bodyt_i

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


Usually 

LaTeX Math Inline
bodyt_i = t \cdot i
, where 
LaTeX Math Inline
bodyt = \rm 1 \, year
 and 
LaTeX Math Inline
bodyi = 1,2, 3 ...
 is number of years past.


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 and start brining some profit.

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