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Excel cases / Value a gold mine: the NAV of Kestrel Ridge

Excel case 1 of 4, about 45 minutes

Value a gold mine: the NAV of Kestrel Ridge

Build the NAV of a gold project from its feasibility study, then judge the share price.

The brief

You are an analyst in the mining team of an investment bank. Kestrel Ridge Gold, a listed company with a single asset, has just published the feasibility study for its Kestrel Ridge open-pit gold mine in Western Australia. Construction has not started.

Your managing director wants two answers by tonight: what is the project worth, and is the share cheap? Build the project NAV from the study’s assumptions, then compare it with the share price.

Kestrel Ridge Gold and its mine are fictional. The figures follow real orders of magnitude.

The assumptions

Proven and probable reservesMt of ore20.0
Reserve gradeg/t gold1.50
Metallurgical recovery% of contained gold90%
Mill throughputMt of ore per year2.0
Strip ratiot of waste per t of ore4.0
Mining cost$ per tonne moved (ore and waste)3.00
Processing cost$ per tonne of ore18.00
Site general and administrative$ per tonne of ore4.00
State royalty% of revenue2.5%
Sustaining capex$m per year of production15.0
Initial capex$m, spent in year 0350.0
Closure cost$m, the year after production ends30.0
Corporate tax rate% of taxable income30%
Gold price$ per ounce, flat in real terms2,500
Discount ratereal5.0%
Company net cash$m50.0
Shares outstandingmillion400
Share price$ per share0.55
  • Production is the same every year, with no ramp-up.
  • Prices and costs are in real terms: no inflation.
  • Cash flows fall at the end of each year.
  • Initial capex is depreciated straight-line over the mine life; sustaining capex is deducted for tax in the year it is spent.
  • Closure is not tax-deductible. There is no working capital and no debt at project level.

The steps

  1. Contained gold

    How many ounces of gold do the reserves contain?

    Hint

    Tonnes times grade gives grams. A troy ounce weighs 31.1035 g.

  2. Mine life

    For how many years will the plant run?

    Hint

    Divide the reserves by the tonnes the plant treats each year.

  3. Yearly production

    How many ounces does the mine produce each year?

    Hint

    Take the ore treated in a year and its grade, then apply recovery: the plant keeps only 90% of the gold.

  4. Revenue

    What is the yearly revenue?

    Hint

    Ounces sold times the gold price. Assume all the gold produced is sold in the same year.

  5. Site costs

    What do the mine, the plant and site overheads cost each year, before the royalty?

    Hint

    The mining cost applies to all the rock moved. With 4 t of waste per tonne of ore, the mine moves 5 t for every tonne the plant treats.

  6. All-in sustaining cost

    What is the all-in sustaining cost per ounce?

    Hint

    AISC adds the royalty and sustaining capex to the site costs, then divides by the ounces produced. Leave head-office costs aside here.

  7. Tax

    How much tax does the mine pay in a year of production?

    Hint

    Start from EBITDA (revenue less royalty and site costs). Deduct depreciation, $350m over the 10-year life, and sustaining capex, deductible here in the year it is spent.

  8. Free cash flow

    What is the free cash flow of a production year?

    Hint

    Start from EBITDA, take off tax and sustaining capex. Depreciation is not cash leaving the company.

  9. Project NAV

    What is the project’s net present value at 5%?

    Hint

    The flows are −$350m in year 0, the free cash flow from year 1 to 10, and −$30m of closure in year 11. Careful: Excel’s NPV function discounts from its first cell, so add year 0 separately.

  10. IRR

    What is the project’s internal rate of return?

    Hint

    The rate at which the NPV is zero. In Excel, use IRR on the whole row of flows, year 0 included.

  11. P/NAV

    What is Kestrel Ridge Gold’s price to NAV?

    Hint

    Company NAV is the project NAV plus net cash. Divide by the number of shares, then compare with the share price.

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