Economic Evaluation of Mine Plans

Mine economics compares alternatives using NPV, IRR, and payback on discounted cash flows. Indian projects must include royalty (MMDR rates), DMF contribution, and tax in feasibility studies submitted to IBM.

Key formulas & points

Skim these first — then read the full notes below.

  • Sensitivity to metal price and grade
  • Capital vs operating trade-off
  • Royalty and tax in cash flow

Topic details

Introduction

Feasibility studies for mine lease renewal require NPV positive at hurdle rate (often 12–15% real for Indian PSUs). Sensitivity spider charts show NPV vs price, grade, and capex — bankers focus on downside case.

Scope in B.Tech and GATE syllabus

Capital vs operating trade-off: in-pit crusher high capex, lower $/t haul; smaller fleet opposite. Payback simple metric but ignores time value — use discounted payback for comparison.

Why this topic matters in practice

Hartman & Mutmansky cash flow templates include working capital, salvage, and closure costs — omitting closure violates DMF and EIA commitments.

Key relations & formulas

Formulas (Indian textbook notation)

  • IRRratewhereNPV=0IRR rate where NPV = 0

Formulas (Indian textbook notation)

  • payback=initialinvestmentannualcashflowpayback = initial \frac{investment}{annual} cash flow
operating cost /tmovedor/t moved or/t ore

Notation and sign conventions

Relation 1 —
IRRratewhereNPV=0IRR rate where NPV = 0

Formulas (Indian textbook notation)

  • IRRratewhereNPV=0IRR rate where NPV = 0
Write this relation with symbols exactly as in Hustrulid Open Pit Mine Planning — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
payback=initialinvestmentannualcashflowpayback = initial \frac{investment}{annual} cash flow

Formulas (Indian textbook notation)

  • payback=initialinvestmentannualcashflowpayback = initial \frac{investment}{annual} cash flow
Write this relation with symbols exactly as in Hustrulid Open Pit Mine Planning — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 — operating cost /tmovedor/t moved or/t ore
operating cost /tmovedor/t moved or/t ore
Write this relation with symbols exactly as in Hustrulid Open Pit Mine Planning — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.

Fundamentals and definitions

IRR: discount rate r where NPV = 0 — project accepts if IRR > hurdle. Multiple IRR possible with non-conventional cash flows (sign changes). NPV more reliable for ranking mutually exclusive projects.

Governing relations in practice

Payback = initial investment / annual net cash flow — simple undiscounted; discounted payback uses PV of flows until cumulative ≥ 0.

Design and analysis considerations

Operating cost /toreor/t ore or/t moved — strip cost often /twasteseparatefrom/t waste separate from/t ore mining and milling. Benchmark against similar Indian deposits — low grade needs low operating cost.

Advanced theory and extensions

Sensitivity: vary metal price ±20%, grade ±10%, forex — tornado chart ranks drivers. Monte Carlo assigns distributions to inputs for P10/P50/P90 NPV — used in bankable feasibility for foreign investment.

Assumptions and validity limits

State assumptions explicitly before using any relation for economic evaluation of mine plans — steady state, uniform properties, linear elastic material, ideal gas, incompressible flow, etc., as applicable.
Wrong assumptions invalidate the entire solution even when the formula is correct. In Mine Planning viva and GATE descriptive questions, listing valid assumptions often earns separate marks.

Step-by-step problem approach

1. Read the question and list given data with SI units (common in Mine Planning papers).
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to economic evaluation of mine plans.
4. Use equation 1:
IRRratewhereNPV=0IRR rate where NPV = 0
.
5. Use equation 2:
payback=initialinvestmentannualcashflowpayback = initial \frac{investment}{annual} cash flow
.
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.

Applications & exam relevance

Economic Evaluation of Mine Plans appears in life-of-mine studies. In Indian mining curricula this topic is tested because it connects theory to reserves, layout, and scheduling.
GATE and semester exams often combine economic evaluation of mine plans with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use economic evaluation of mine plans?" — answer with a lab, mini-project, or plant visit example if possible.

Common mistakes in exams

• IRR comparison when projects differ in scale (use NPV at common hurdle)
• Omitting royalty (ad valorem on revenue) and DMF 10% of royalty in India
• Payback from revenue instead of net cash flow
• Sensitivity one variable at a time hides correlation (price and FX together)

Quick revision checklist

Before attempting economic evaluation of mine plans problems, confirm you can:
1. Sensitivity to metal price and grade
2. Capital vs operating trade-off
3. Royalty and tax in cash flow
Revise the solved examples in Hustrulid Open Pit Mine Planning — Standard reference and one previous-year GATE or university paper for this unit.

Worked examples

Try the problem first — open the solution when you are ready to check.

Simple payback

Problem

Capex ₹500 crore; annual net cash flow ₹125 crore. Find simple payback.

Solution

Payback = 500/125 = 4 years

Conceptual check — Economic Evaluation of Mine Plans

Problem

In a Mine Planning semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of economic evaluation of mine plans." What should a complete answer include?

📖 Standard books (India)

  • Hustrulid Open Pit Mine PlanningStandard reference

    Read: Syllabus unit

    Referenced in Indian B.Tech syllabus