Capital Budgeting Analysis: Mt. Zircon Mining Investment
This paper presents a capital budgeting analysis for a proposed mineral extraction project on the North Ridge of Mt. Zircon, conducted for Peru Resources. Engineers identified a vein of transcendental zirconium ore estimated to yield 340 tons per year over seven years, along with a possible secondary deposit of hydrated zircon gemstones. The analysis constructs expected, best-case, and worst-case revenue scenarios, incorporates fixed and variable operating costs, and evaluates the investment using net present value (NPV), internal rate of return (IRR), and break-even analysis. Results show an expected NPV exceeding five million dollars and an IRR of 41%, supporting a recommendation to proceed with the project.
- Situation Overview: Project background, mineral estimates, and cost variables
- Revenue Potential: Projected revenues for zirconium and gemstones by scenario
- Expenses and Cash Flow Projections: Operating costs, NPV, IRR, and break-even calculations
- Scenario Analysis: Best and Worst Cases: Best-case and worst-case financial outcomes compared
- Discussion and Investment Recommendation: NPV vs. IRR interpretation and project recommendation
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What makes this paper effective
- The paper builds a complete, multi-scenario financial model — expected, best-case, and worst-case — giving decision-makers a realistic range of outcomes rather than a single-point estimate.
- Revenue tables are organized clearly by mineral type and scenario, making it easy to trace how individual assumptions (price, quantity, vein count) roll up into total projected revenues.
- The discussion section correctly distinguishes between NPV and IRR, explaining why the worst-case scenario can show a positive IRR yet a negative NPV — a conceptually precise and practically important distinction.
Key academic technique demonstrated
The paper demonstrates sensitivity analysis in a capital budgeting context. By varying price assumptions (low, expected, high), quantity assumptions (one vein vs. two vs. a dozen), and cost assumptions (base cost, overrun, environmental regulation), the author shows how each variable independently and in combination affects project viability — a standard technique in corporate finance decision-making.
Structure breakdown
The paper opens with a narrative situation overview that introduces the project parameters and sources of uncertainty. It then presents tabular financial data organized by revenue stream, expense category, and cash flow period. NPV, IRR, and break-even calculations follow for each scenario. A final discussion section synthesizes the quantitative results into a clear investment recommendation, contextualizing the cost-of-capital hurdle rate of 14%.
Situation Overview
Engineers working for Peru Resources have proposed a new mine on the North Ridge of Mt. Zircon. They have discovered a vein of transcendental zirconium ore and believe there is a sufficient quantity to produce roughly 340 tons of this mineral per year over a seven-year period. Furthermore, it is believed that this vein may also contain hydrated zircon gemstones; however, this mineral resource is more difficult to predict in advance, and a conservative estimate of 150 pounds per year could be sourced from the site annually.
The current market price for transcendental zirconium is $10,000 per ton, while the current price of hydrated zircon gemstones is $3,300 per pound. However, these prices are heavily dependent on international commodity markets and may fluctuate significantly. The company's CEO expects market prices to remain at roughly the same levels, although prices will likely rise at least in line with inflation.
The cost of constructing the necessary equipment and infrastructure at the site to extract the minerals has been identified at approximately $10 million. There is also variability in estimating such expenses — it is not uncommon for projects of this type to exceed budget by ten or fifteen percent. In addition, environmental regulations currently on the books, if enacted, could add an estimated $1.5 million to the cost of mining the site. Given all the variables subject to change, a detailed and thorough capital budgeting analysis must account for potential fluctuation in these estimates.
Revenue Potential
Transcendental Zirconium
The following table presents projected revenues from transcendental zirconium across all seven years of the project, under three price scenarios. All price projections assume a 3% annual inflation adjustment from the base year price.
| Zirconium (Tons/Year) | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | Year 6 | Year 7 | Total |
|---|---|---|---|---|---|---|---|---|
| Expected Price per Ton | $10,000.00 | $10,300.00 | $10,609.00 | $10,927.27 | $11,255.09 | $11,592.74 | $11,940.52 | $76,624.62 |
| Revenues at Expected | $3,400,000.00 | $3,502,000.00 | $3,607,060.00 | $3,715,271.80 | $3,826,729.95 | $3,941,531.85 | $4,059,777.81 | $26,052,371.41 |
| Low Price per Ton | $7,500.00 | $7,725.00 | $7,956.75 | $8,195.45 | $8,441.32 | $8,694.56 | $8,955.39 | $57,468.47 |
| Revenues at Low | $2,550,000.00 | $2,626,500.00 | $2,705,295.00 | $2,786,453.85 | $2,870,047.47 | $2,956,148.89 | $3,044,833.36 | $19,539,278.56 |
| High Price per Ton | $14,000.00 | $14,420.00 | $14,852.60 | $15,298.18 | $15,757.12 | $16,229.84 | $16,716.73 | $107,274.47 |
| Revenues at High Price | $4,760,000.00 | $4,902,800.00 | $5,049,884.00 | $5,201,380.52 | $5,357,421.94 | $5,518,144.59 | $5,683,688.93 | $36,473,319.98 |
Hydrated Zircon Gemstones
Revenue projections for hydrated zircon gemstones are presented under three quantity scenarios: a single vein (150 lbs/year), two veins (300 lbs/year), and a dozen veins (1,800 lbs/year). The net present value of the project is particularly sensitive to this variable, given the high per-pound market price of this gemstone.
| Hydrated Zircon Gemstones | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | Year 6 | Year 7 | Total |
|---|---|---|---|---|---|---|---|---|
| Expected Market Price | $3,300.00 | $3,399.00 | $3,500.97 | $3,606.00 | $3,714.18 | $3,825.60 | $3,940.37 | — |
| Expected Revenues (150 lbs) | $495,000.00 | $509,850.00 | $525,145.50 | $540,899.87 | $557,126.86 | $573,840.67 | $591,055.89 | $3,792,918.78 |
| Two-Vein Quantity (lbs) | 300 | 300 | 300 | 300 | 300 | 300 | 300 | — |
| Two-Vein Revenue | $990,000.00 | $1,019,700.00 | $1,050,291.00 | $1,081,799.73 | $1,114,253.72 | $1,147,681.33 | $1,182,111.77 | $7,585,837.56 |
| Dozen-Vein Quantity (lbs) | 1,800 | 1,800 | 1,800 | 1,800 | 1,800 | 1,800 | 1,800 | — |
| Dozen-Vein Revenue | $5,940,000.00 | $6,118,200.00 | $6,301,746.00 | $6,490,798.38 | $6,685,522.33 | $6,886,088.00 | $7,092,670.64 | $45,515,025.35 |
Total Expected Revenue
| Total Expected Revenue | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | Year 6 | Year 7 | Total |
|---|---|---|---|---|---|---|---|---|
| Zirconium Revenues (Expected) | $3,400,000.00 | $3,502,000.00 | $3,607,060.00 | $3,715,271.80 | $3,826,729.95 | $3,941,531.85 | $4,059,777.81 | $26,052,371.41 |
| Gemstone Revenues (Expected) | $495,000.00 | $509,850.00 | $525,145.50 | $540,899.87 | $557,126.86 | $573,840.67 | $591,055.89 | $3,792,918.78 |
| Sum | $3,895,000.00 | $4,011,850.00 | $4,132,205.50 | $4,256,171.67 | $4,383,856.81 | $4,515,372.52 | $4,650,833.69 | $29,845,290.19 |
Expenses and Cash Flow Projections
Expenses
| Expense Category | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | Year 6 | Year 7 | Total |
|---|---|---|---|---|---|---|---|---|
| Initial Investment | $10,000,000.00 | $0.00 | $0.00 | $0.00 | $0.00 | $0.00 | $0.00 | $10,000,000.00 |
| Fixed Costs | $400,000.00 | $400,000.00 | $400,000.00 | $400,000.00 | $400,000.00 | $400,000.00 | $400,000.00 | $2,800,000.00 |
| Variable Costs | $500,000.00 | $500,000.00 | $500,000.00 | $500,000.00 | $500,000.00 | $500,000.00 | $500,000.00 | $3,500,000.00 |
| Total | $10,900,000.00 | $900,000.00 | $900,000.00 | $900,000.00 | $900,000.00 | $900,000.00 | $900,000.00 | $16,300,000.00 |
Cash Flow Projection (Expected Scenario)
| Metric | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | Year 6 | Year 7 |
|---|---|---|---|---|---|---|---|
| Cash Flow | −$7,005,000.00 | $3,111,850.00 | $3,232,205.50 | $3,356,171.67 | $3,483,856.81 | $3,615,372.52 | $3,750,833.69 |
| NPV (at 14%) | $5,373,994.66 | ||||||
| IRR | 41% | ||||||
Break-Even Analysis
| Year | Year 1 | Year 2 | Year 3 | Year 4 |
|---|---|---|---|---|
| Cumulative Cash Flow | −$7,005,000.00 | −$3,893,150.00 | −$660,944.50 | $2,695,227.17 |
Under the expected scenario, the project reaches its break-even point partway through Year 4, after which all cumulative cash flows turn positive.
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