Minimum number of jobs to survive in a minimum chance scenario

Input(s)

Z: Number of Standard Deviation corresponds to a Certain Change (dimensionless)

$\sigma$: Standard Deviation of a Risky Job reduced to Present Value (fraction)

$X_{E}$: Present Worth Expectation per a Risky Job (\$)

Output(s)

$\mathrm{n}$: Minimum Number of Jobs to Survive in a Minimum Chance Scenario (dimensionless)

Formula(s)

$$ \mathrm{n}=\left(\frac{-\mathrm{Z} \cdot \sigma}{2 \mathrm{X}_{\mathrm{E}}}\right)^{2} $$

Reference(s)

Serpen, U., Petroleum Economics, Course Notes, ITU Petroleum and Natural Gas Engineering, Istanbul, Turkey, (2008) Page: 99.