A published real-options study of a USD 6.71 million coal project reports a base NPV of USD 7.10 million and a Monte Carlo standard deviation of 13.3. This page rebuilds the model and asks which input actually moves the answer.
Source: Trijayanto, T. & Hakam, D. F. (2025). Economic Viability and Flexibility of the South Pasopati Coal Project, Indonesia: A Real Options Approach Under Market Volatility and Carbon Pricing. Journal of Risk and Financial Management, 18(5), 225. doi:10.3390/jrfm18050225.
| Route | Paper NPV | Paper MC mean / SD | Rebuild MC mean / SD | Rebuild P(NPV < 0) |
|---|---|---|---|---|
| Base (east, capex 6.71) | 7.10 | 7.19 / 13.3 | 6.6 / 13.3 | 28.6% |
| Alt 1 (west, capex 8.26) | 4.47 | 4.49 / 0.94 | 3.8 / 13.5 | 36.4% |
| Alt 2 (east + carbon, capex 7.29) | 1.32 | 1.24 / 1.09 | 0.3 / 13.9 | 45.8% |
Set the drivers, then run 5,000 trials. Coal price is sampled by Box-Muller normal and truncated at USD 20. OPEX ratio and capex are sampled by inverse-transform triangular. The inputs are independent, so there is no copula. The price-floor slider is my addition: an offtake floor with no premium and no counterparty cost, so it shows an upper bound on benefit. The paper has no floor.
Capex is 5-7% of total cost in this project and OPEX is 83-89% of revenue, so the thin margin sits in the price. In the rebuild, NPV reaches zero at a coal price 7.5% below base, or at capex 127% above plan, and the rank correlation with NPV is 0.99 for price against minus 0.03 for capex. The paper reports no post-decision outcome, so what follows is illustrative: a board that sees this stops weighing a USD 1.5 million route difference and negotiates an offtake floor. A floor only helps once it sits above break-even (about 92.5% of base here), and a real floor has a cost this page does not model.