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Use of Simulation in Valuation Outline for today - MIT

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Antam<strong>in</strong>a M<strong>in</strong>e <strong>Simulation</strong><br />

• System Model: NPV <strong>of</strong> Pr<strong>of</strong>it as function <strong>of</strong>:<br />

— ore quality, quantity<br />

— cost <strong>of</strong> m<strong>in</strong><strong>in</strong>g<br />

— value <strong>of</strong> metals (mostly copper, z<strong>in</strong>c and “moly”)<br />

• Distributions <strong>for</strong> Key parameters<br />

— Assumed: Market data as GBM (lattice evolution<br />

from current price <strong>of</strong> metal)<br />

— Estimated: Technical Cost Models (<strong>of</strong> m<strong>in</strong>e ops)<br />

— Guessed: Expert Judgment to be revised by<br />

results <strong>of</strong> exploration (ore quantity, quality)<br />

Eng<strong>in</strong>eer<strong>in</strong>g Systems Analysis <strong>for</strong> Design Richard de Neufville ©<br />

Massachusetts Institute <strong>of</strong> Technology <strong>Use</strong> <strong>of</strong> <strong>Simulation</strong> Slide 15 <strong>of</strong> 17<br />

Antam<strong>in</strong>a M<strong>in</strong>e <strong>Valuation</strong><br />

• Assumed operators could “lock <strong>in</strong>” price <strong>for</strong><br />

metal by long-term contracts over life <strong>of</strong> m<strong>in</strong>e<br />

— Probably not possible <strong>in</strong> fact. However, it is<br />

necessary assumption to know value <strong>of</strong> ore to use<br />

as basis <strong>for</strong> valu<strong>in</strong>g NPV <strong>of</strong> m<strong>in</strong>e over its life<br />

• Value <strong>of</strong> “on” Option = EV(all positive NPV) –<br />

EV(project without option to abandon)<br />

• Value <strong>of</strong> “<strong>in</strong>” Option = further improvements<br />

<strong>in</strong> NPV due to flexibility provided<br />

• See special Antam<strong>in</strong>a slide show<br />

Eng<strong>in</strong>eer<strong>in</strong>g Systems Analysis <strong>for</strong> Design Richard de Neufville ©<br />

Massachusetts Institute <strong>of</strong> Technology <strong>Use</strong> <strong>of</strong> <strong>Simulation</strong> Slide 16 <strong>of</strong> 17<br />

Page 8

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