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LaTeX Math Inline
bodyn

total number of time steps

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}}

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
bodyR_{ti} = \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



The main idea of NPV is to start wth the statement that value of cash today is higher than value fo of cash tomorrow becasue because immediate cash can be safely invested today and start brining some profit.


In a sense, NPV is  is showing a value of given investment as against a competitor in the form of the available market investmenet investment opportunities 


NPV dictates  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

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