$\begin{array}{l}\displaystyle \mbox{NPV} = - \mbox{I}_0 + \sum_{i=1}^n \frac{\mbox{FCF}_i}{(1+r)^i}\end{array}$

$\begin{array}{l}\displaystyle \mbox{PI} = \frac{1}{ \mbox{I}_0 } \cdot \sum_{i=1}^n \frac{\mbox{FCF}_i}{(1+r)^i}\end{array}$

COGS = q_O^↑ · C_O + q_G^↑ · C_G^↑ + q_W^↑ · C_W^↑ + q_W^↓ · C_W^↓

Sales = q₁ · Price_income

Price_income = Tax_mining · Price_market

where

FCF	Free Cash Flow for each year (with year index " $\begin{array}{l}_i\end{array}$ " omitted)
Sales
COGS
OPEX
CAPEX
Interest
IncomeTaxRate
Tax_mining
Price_market
Price_income
q₁

The link between the above FCF algorithm and the general principals of P&L is given below:

EBIT = Sales − COGS − OPEX

Reference

q

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