Question 4 of 19: Enterprise Value vs. NPV, and a Published Gold Reserve

Question 1.4: Enterprise Value vs. NPV, and a Published Gold Reserve (10 marks)

Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.

1.4.1 — EV vs. NPV: the key difference. Enterprise Value is a market-derived, point-in-time measure: $EV = \text{Market Capitalization} + \text{Debt} - \text{Cash}$, i.e. what the market is currently willing to pay for the whole operating business, mine and all, independent of any internal geological or economic model. NPV is an engineer's discounted-cash-flow estimate of a specific mine's intrinsic value, built bottom-up from a reserve model, mine plan, price deck and discount rate. The key difference an investor must understand: EV reflects collective market sentiment (which can price in exploration upside, management quality, or simply be wrong/irrational in the short term) while NPV reflects one analyst's technical model of one specific asset under one specific set of assumptions — EV and NPV routinely diverge, and a large, persistent gap between a company's EV and the NPV of its known mines is itself a signal worth investigating (over- or under-valuation, unpriced exploration potential, or model assumptions the market disagrees with).

1.4.2 — EV as a gold-sector valuation tool. Because gold mining companies are valued largely on their ounces in the ground and their production/cash-flow profile, EV is normalized against those metrics to build comparable multiples across a peer group: EV per ounce of total resource, EV per ounce of reserve, EV per ounce of annual production, and EV/operating cash flow (a multiple, "x"). Plotting a target company's own multiples against a curated peer group of comparable gold producers/developers lets an analyst draw several options: (i) identify whether the target trades at a discount or premium to peers on each metric, informing a buy/sell/hold view; (ii) derive an implied "fair" EV for the target by applying the peer-group median multiple to the target's own ounces/production, a relative (comparable-company) valuation distinct from the DCF/NPV approach; (iii) flag inconsistencies between metrics (e.g. cheap on EV/resource but expensive on EV/production) that point to a specific asset-quality issue worth investigating rather than a simple broad mis-pricing.

1.4.3 — Comment on the published reserve table. The table as published is internally inconsistent and should not be accepted at face value: checking the arithmetic, $120{,}000\text{ kt}\times0.02419\text{ oz/t}=2{,}902.8\text{ koz}$, not the $2{,}889.87$ koz shown; and $1{,}862{,}500\text{ kt}\times0.02319\text{ oz/t}=43{,}191.4\text{ koz}$, not the $34{,}359.89$ koz shown — both stated contained-ounce figures fail to reconcile with their own tonnage × grade inputs by a wide margin, which is exactly the kind of discrepancy a diligence review is meant to catch, whether it stems from a typo, a category mix-up, or an error in the compilation. The row labelling is also ambiguous ("Reserves" appears as its own line above "Measured", "Measured+Indicated" and "Inferred," rather than being clearly built up from Proven+Probable reserve categories as NI 43-101 requires), and mixing a Reserve category with Measured/Indicated/Inferred Resource categories in one table without a clear NI 43-101-compliant separation is itself a red flag — Inferred material in particular carries no economic viability demonstration and must never be aggregated with Reserves in a valuation. The additional "$1,500,000 ozs proven+probable" figure as printed reads as a dollar amount attached to an ounce quantity, which is not a coherent unit for a reserve statement and should be queried directly with the issuer before use. An investor's conclusion: do not rely on this table without a qualified person's NI 43-101 technical report reconciling the arithmetic and the category definitions.

1.4.4 — Efficacy of the football-field EV/EVO/TVO chart. A football-field-style multi-panel chart (EV/Resource, EV/Reserve, EV/Production, EV/Operating CF, P/NAV, each with a target line) is an efficient visual screening tool: it lets an analyst instantly see, across many peers at once, which metrics a target sits cheap or expensive on relative to the group, which single-number multiples cannot show side-by-side as clearly. Its limitations are real, though: it treats every peer as equally comparable regardless of jurisdiction risk, deposit type, mine life or ESG/permitting status; it is sensitive to which peer set and which point-in-time metal price/production figures are chosen (a different peer basket or date can shift the "cheap/expensive" conclusion materially); and it is purely relative-value — a whole sector can be uniformly mispriced and the chart would show nothing wrong. It is best used as a screening/triage step to flag names for deeper NPV-based diligence, not as a stand-alone valuation conclusion.