24-MMP-A4 Mine Valuation and Mineral Resource Estimation · December 2013
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
EGBC National Exam — Mining and Mineral Processing Engineering, 09-Mmp-A4 Mine Valuation and Mineral Resource Estimation, 2013-Dec. 3 hours duration; one handwritten 8.5×11 in reference sheet permitted (not an open-book exam); only approved Sharp or Casio calculators allowed. Question 1 is compulsory (40 marks, parts 1.1–1.7); candidates then select FOUR of the six optional Questions 2–7 (15 marks each) to complete the paper.
Reference texts: Isaaks & Srivastava, An Introduction to Applied Geostatistics (variogram modelling, kriging estimators, compositing and support); Hustrulid, Kuchta & Martin, Open Pit Mine Planning and Design (NPV/cut-off grade methodology, cost estimating, financing structures); Torries, Evaluating Mineral Projects: Applications and Misconceptions (SME) (mine valuation, cost of capital, inflation treatment); Gentry & O'Neil, Mine Investment Analysis (net smelter return, smelter/refining contract terms); SME Mining Engineering Handbook, 3rd ed. (mineral economics, capital and operating cost estimating).
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.
2.1 The three core financial statements. A mining company (like any corporation) prepares an income statement (statement of financial performance) – revenue, operating costs, depreciation/CCA, interest and tax over a reporting period, netting down to net income; a balance sheet (statement of financial position) – a snapshot at a point in time of assets (mineral properties, plant, cash, receivables), liabilities (debt, reclamation provisions, payables) and shareholders' equity, with assets always equal to liabilities plus equity; and a cash flow statement – actual cash movements over the period, split into operating, investing (capital expenditure, property acquisitions) and financing (debt issuance/repayment, equity raises, dividends) activities. Together the three give a complete picture: performance over time, position at a point in time, and the cash consequences of both.
2.2 Capital costs in investment decisions. Capital cost is the up-front, largely one-time expenditure required to acquire and construct the fixed assets (mine development, processing plant, major mobile equipment, infrastructure) needed before a project can generate revenue, as distinct from operating costs, which recur through the production phase. In investment decisions, capital cost enters the discounted cash-flow model as the large negative cash flow(s) during construction (year(s) 0 through start-up), against which the discounted future net operating cash flows are weighed via NPV, IRR and payback-period metrics; for tax purposes it is capitalized and written off over time through capital cost allowance (CCA) rather than expensed immediately. At the scoping/pre-feasibility level, capital cost is typically estimated with factored/parametric models (e.g. Camm, O'Hara-style cost-estimating relationships) and refined to increasing accuracy (±30% down to ±10–15%) as the study progresses through feasibility.
2.3 Capital cost versus cost of capital. These are fundamentally different kinds of quantities and are a common source of confusion. Capital cost is a dollar amount – the money actually spent to acquire and build the fixed assets, appearing as a cash outflow on the cash-flow statement and as an asset on the balance sheet. Cost of capital is a percentage rate – the weighted-average return (WACC, blending the required return on debt and equity) that providers of capital demand to compensate them for the project's risk and their opportunity cost, and it is used purely as the discount rate applied to future cash flows in an NPV calculation. They interact (the mix of debt and equity chosen to fund the capital cost determines the resulting WACC), but one is a stock of money spent while the other is a rate used to value money over time; conflating the two – e.g. treating "cost of capital" as a dollar figure to be added to project cost – is a fundamental analytical error.