La Bourse / Volume IV / Nº IV.04 / Workbook — the executive

A man in a dark suit writing in an open book at a library desk, lamps lit among the shelves. — Plate IV.04 · Workbook — the executiveThe Scaler's Book.Every plant has a capacity plate riveted to its frame. Very few have the other one — the number the ground will hand over, year after year, without being asked twice.

WORKBOOK — THE CORPORATE EXECUTIVE

Chapter IV.04 · Manufacture at Biological Rates

For the person with a P&L, a capital committee, a signature limit and a plant that runs on something that grows. This workbook uses the language of the firm without apology, because the firm's own numbers already support most of what follows — they have simply never been divided by one another, and the division takes one afternoon with a controller.

THE PREMISE, STATED COMMERCIALLY

You are being asked to do one thing: express every plant's nameplate capacity as a ratio to the verified renewal rate of its primary input, and put that ratio on the front page of the capital paper.

That is not a values proposition. It is a measurement discipline with a financing consequence, and the consequence is larger than any efficiency programme you will run this decade. Three findings from the chapter's arithmetic, stated commercially:

One. On cash flows alone, over sixty years, the market-sized mill beats the rate-matched one at every discount rate above 1.974 percent. If someone presents you a rate-matched proposal without that sentence in it, they have not finished the analysis.

Two. Counting the standing stock as the asset it is moves the crossover to 5.172 percent — 3.198 points, bought with an accounting treatment and no change to the physical plant. The market-sized mill is not out-earning the rate-matched one; it is disposing of an asset and booking the proceeds as operating income, and a cash-flow appraisal cannot tell those apart.

Three. The demand-spike concession is real, and it is 4,837,339 dollars at a 5 percent discount rate — 6.48 percent of NPV, 0.620 points of crossover. Price it. An unpriced concession is an objection with a permanent seat at the table.

PART ONE — DISCOVERY

Days 1–30

Exercise 1.1 — The catchment sweep (one week, with operations and procurement)

For every plant, name the primary renewing input and draw its catchment: the area or population the plant actually draws from, not the market it sells into.

Then, for each, answer three questions on one line:

What is the renewal rate of that catchment?
Who measured it, when, and do they report to operations?
What is our annual draw?

Most organisations can answer the third immediately, the first vaguely, and the second not at all. That distribution is the finding.

Exercise 1.2 — The denominator test (two hours)

Take every supply-security number in your last board pack and ask what it is a denominator for. United States timberland grows 25,000,000,000 cubic feet a year and gives up 13,000,000,000 — a growth-to-removals ratio of 1.923, with 92.3 percent of national headroom. That figure is true and it cannot tell you anything about your mill, because a plant does not buy from a nation; it buys from a haul radius.

Write, beside each aggregate figure, the catchment figure it is standing in for. Where there is no catchment figure, you have found your first measurement to commission.

Exercise 1.3 — The working cases, read properly (one session)

Menominee Tribal Enterprises has milled from a 235,000 acre forest since 1854, removing 2,300,000,000 board feet while standing volume rose from 1,200,000,000 to 1,900,000,000 — 58.3 percent up, the original stock turned over 3.50 times. It mills 14,000,000 board feet against an increment of 24,000,000: a ratio of 0.583.

Read that as an operator, not as an admirer. The mill was sized by the forest. Every capacity decision since has been made inside a constraint that was set first, and that is the only structural difference between this business and yours.

PART TWO — THE ARITHMETIC

Days 31–45

Exercise 2.1 — The ratio schedule (one week, with your controller)

One row per input line, one ratio per row, volume-weighted to a group figure.

  line          volume (t)   ratio
  ------------------------------------
  A                 40,000    0.720
  B                 25,000    1.140
  C                 35,000    0.950
  ------------------------------------
  weighted                    0.905

A group ratio below 1.00 with one line above it is a normal and manageable position. It is also invisible until the table exists.

Exercise 2.2 — The overshoot model, run on your worst line (half a day)

For any line with a ratio above one, compute what the chapter computes.

  K = H / i                      the stock that throughput would need
  t = ln((K - V_min)/(K - V0)) / i    years to the operable floor
  H_after = i x V_min            the rate afterwards

The chapter's worked mill: K = 2,655,000,000 board feet, t = 28.61 years, and afterwards 10,169,492 board feet a year — 30.0 percent of where it started. It consumes 1,050,000,000 board feet of standing timber to buy those twenty-nine years.

Put that last sentence in the paper. The committee is entitled to know it is approving a disposal, and most committees, told plainly, will still approve some of them — which is the correct outcome and a very different one from approving it unknowingly.

Exercise 2.3 — The NPV, both ways (half a day)

Run the appraisal twice: cash flows only, then with the standing stock valued at the horizon.

  cash flows only                      crossover  1.974 %
  standing stock counted               crossover  5.172 %
  less the priced spike concession     crossover  4.552 %
  plus a firm-supply book              crossover  5.145 %

Four numbers, one decision. Note which one moved the most: the accounting treatment, at 3.198 points, against 0.620 for the concession and 0.593 for the firm-supply book.

Note also that the horizon is itself an assumption. Sixty years is conservative for a forest, an aquifer or a fishery, and a longer horizon moves every one of those crossovers in the rate-matched plant's favour.

Exercise 2.4 — Price the concession before anyone raises it (two hours)

Model your own spike: frequency, duration, incremental volume, margin uplift. The chapter's parameters are one every 12.0 years, lasting 2.0 years, 40.0 percent more volume at 25.0 percent more margin.

  volume you cannot make        13,559,322 bf/yr
  forgone margin per spike       5,084,746 $
  scarcity rent you DO capture   2,542,373 $
  net per spike                  2,542,373 $
  expected, annualised             211,864 $/yr    = 4.17 % of contribution

The commonly missed term is the second one. A sold-out plant captures the uplift on everything it sells, so the net is half the gross.

PART THREE — DESIGN

Days 46–60: the instrument

Exercise 3.1 — Structure the increment-based borrowing base (one week, with treasury)

Reserve-based lending sizes a facility against a depleting reserve, certified annually by an independent engineer. Invert it. The borrowing base is indexed to the verified annual increment.

Base. 33,898,305 board feet of increment at 250.00 dollars per thousand is 8,474,576 dollars a year of increment value; a four times base is 33,898,305 dollars against a rate-matched mill costing 40,677,966.
Covenant. Harvest-to-increment ≤ 1.00, three-year rolling mean, so one bad survey does not trip it.
Remedy. Breach reduces the base rather than accelerating the loan. The security is the increment, so contraction is the self-healing remedy and the lender should prefer it.
Pricing. Step the margin by certified ratio. A borrower at 0.583 is a materially better credit than one at 1.000, and no instrument in the market says so today.
Tenor. Fifteen to twenty-five years, available precisely because the security does not deplete — and tenor is where the cost of capital actually lives.

Exercise 3.2 — The certification budget (one hour)

Independent cruise 45,000 dollars, abstraction metering 12,000, assay 8,000: 65,000 dollars, which is 0.160 percent of the plant's capital cost and 1.28 percent of one year's contribution.

Then the case for spending more. At a coefficient of variation of 20.0 percent you must design to 74.4 percent of the point estimate, giving up 8,688,814 board feet, 10,426,576 dollars of capital and 1,303,322 dollars a year of contribution. Halve the CV to 10 percent and the design point rises to 87.2 percent, returning 4,344,407 board feet and 651,661 dollars a year. Against a 45,000 dollar cruise that is a payback of 0.83 months.

This is the cheapest capital in the chapter and it is a measurement, not a machine.

Exercise 3.3 — Build the firm-supply book (two weeks, with sales)

Sell 60.0 percent of output on firm multi-year contracts at an 8.0 percent premium: 244,068 dollars a year against an expected spike cost of 211,864 — a cover of 1.15 times.

The commercial logic is not sentimental. In a spike, the flexible supplier sells his surge to whoever pays most, which means his long-standing customers are exactly the ones he disappoints. Your plant is structurally incapable of doing that, and structural incapacity is what makes a promise financeable.

PART FOUR — DESTINY AND DELIGHT

Days 61–90

Exercise 4.1 — Get the ratio into the monthly pack (one week)

A number reviewed monthly survives a change of management. A number reviewed by exception does not survive the first quarter it is inconvenient. One row, one ratio, group-weighted, beside the safety and quality lines where it belongs.

Exercise 4.2 — Move the measurement outside operations (two weeks)

Both working cases have this: Menominee's constraint is statutory and tribal, Collins's is a third-party certificate re-audited on a cycle. In both, the number that sets capacity is produced outside the plant. A self-measured increment drifts upward by roughly the amount the order book is short, and it does so without anybody deciding anything.

Exercise 4.3 — Write the overshoot rule while it is quiet (one session)

Conditions, magnitude, duration, repayment schedule to the stock, and the signature. Minute it. The spike is the one moment this cannot be written honestly, and it is the only moment anybody wants to.

Exercise 4.4 — The audit conversation (one meeting)

Capitalising biological inventory and depreciating plant over the catchment's supportable life is a conversation about measurement and useful economic life, which your auditors have every year about other things. Bring the physical measurement, the valuation basis and the annual test. It is worth 3.198 points of crossover, and it is the single largest item in this workbook.

THE FAILURE MODES, NAMED

The spike. Every incentive points one way and only a rule written in a quiet month points the other. Hence Exercise 4.3.

No control of the catchment. Both working cases own their forest. Restraint by a buyer on an open market transfers the cut to a competitor rather than leaving it standing. Where you cannot own or contract the catchment, the conservation claim is not available to you — though the firm-supply premium often still is, and say so plainly rather than overclaiming.

A badly measured rate. At a 20.0 percent CV the design fails quietly, because a plant sized to an over-estimate looks exactly like a plant running well for about a decade.

Arguing it philosophically first. The crossover is 5.145 percent with everything counted. If your WACC is above that, say so, and present the decision as what it is — duration, balance-sheet composition and supply reliability. A committee told the truth about a 5.145 percent crossover will sometimes say yes. A committee that suspects it is being managed will always say no.

WHAT THIS WORKBOOK DOES NOT COVER

State the denominator, because a green analysis with unstated coverage is worse than none.

It covers a single-input plant. Where a plant draws on three or four renewing inputs with different catchments and different owners, the ratio schedule in Exercise 2.1 is the right instrument but the weighting is contestable — weight by volume, by contribution, or by replacement difficulty, and say which you chose.

It assumes you can measure the catchment at all. For a plant buying on a deep commodity market with no traceability, the increment is not observable at any reasonable cost, and the honest position is that this discipline is unavailable until traceability exists. That is a procurement programme, not an appraisal.

It prices one spike shape. One every 12.0 years, 2.0 years long, 40.0 percent deeper. A business facing shallower and more frequent spikes has a materially different concession, and the model in the chapter's figures module takes those four parameters directly.

It says nothing about price. Every figure here is a volume and a margin. If rate-matching changes what you can charge — and the firm-supply premium suggests it does — that effect is additional to everything computed and is not included in any crossover in this workbook.

THE BOARD PAPER, ON ONE PAGE

Section	Contents	The figure
Catchment	Boundary, owner, contract position	Area and tenure
Rate	Independent measurement, date, interval	Increment ± CV
Ratio	Draw over renewal, by line and weighted	≤ 1.00
Counterfactual	Market-sized plant: years to floor, rate after	28.61 yr → 30.0 %
Appraisal	NPV both ways	1.974 % / 5.172 %
Concession	Spike frequency, depth, priced	4,837,339 $
Recovery	Firm-supply book	244,068 $/yr, 1.15x
Instrument	IBB facility, covenant, tenor	33,898,305 $
Decision	Crossover beside WACC	5.145 %

APPRECIATIVE QUESTIONS FOR YOUR LEADERSHIP TEAM

Discovery. Where do we already know a renewal rate, and who knows it? · Which plant has run at the same throughput longest, and what has that bought us that we have never costed? · When did we last turn down volume, and what did it protect?

Dream. What could we promise a customer if our supply genuinely could not fail? · If the standing stock were on our balance sheet at a defensible value, what would change in the first week? · What would our capital papers look like if they opened with a rate instead of a forecast?

Design. What would it take to have our increment measured by someone outside operations this year? · What is our group ratio, and how long would it take us to answer that? · What should our overshoot rule say, and who signs it?

Destiny. Which siting decisions did we make before anyone asked what the site could renew? · What do we want still running in eighty years, and what is the first measurement that makes it possible? · Who would notice first if our draw crossed our renewal, and where would they say so?