13

Taxes on Gold

Source: David Ricardo, On the Principles of Political Economy and Taxation, Chapter XIII, "Taxes on Gold" • Course status: full course day for the Ricardo principles course

Key terms

Gold is both a produced commodity and, in Ricardo's example, the material of money. That double role makes a tax on gold behave more slowly than a tax on corn or cloth.

TermMeaning
Natural priceThe price that covers production costs and the ordinary profit on capital
Market priceThe price currently formed by supply and demand
Monetary stockThe accumulated gold already serving as currency, not just this year's output
Marginal mineThe least productive mine still worked; it pays no rent
Quantity adjustmentThe contraction of supply that lets market price catch up with higher natural price
Tax incidenceThe person whose real wealth or income finally bears the tax

Ricardo's question is not only, “Does a tax make gold dearer?” It is also:

How long must the gold stock shrink
before gold's market value reflects its higher cost?

The general rule: capital must be able to leave

A tax raises a commodity's natural price by increasing its cost of production. But its market price rises only when supply contracts enough to remove the old excess.

The speed depends on the commodity. Hats and cloth are consumed and reproduced frequently, so producers can cut output quickly. Gold is durable. When it serves as money, this year's mine output is small beside the stock accumulated over many years.

Why gold adjusts slowly

Suppose a tax makes the least productive mine unprofitable. That mine closes, but nearly all the gold already circulating remains in people's purses, tills, and reserves.

The tax first hurts mine owners and holders of money. Only gradually does reduced production, wear, export, or withdrawal make the stock scarce enough for each remaining ounce to command more goods.

ANNUAL GOODS                         MONETARY GOLD

made --> used --> replaced           mined --> accumulated --> circulated
          every year                           for many years

small flow relative to demand        very large stock, small annual flow
fast supply response                 slow quantity response

Worked miniature: the ten-year lag

Ricardo contrasts 10,000 ounces used commercially with 100,000 ounces used as money. If 2,000 ounces can be withheld each year, the same annual reduction has very different effects.

Use of goldStarting stockAnnual withdrawalYears to remove 20%
Manufacturing material10,000 oz2,000 oz1 year
Money100,000 oz2,000 oz10 years

With monetary gold, after five years:

starting stock                         100,000 oz
minus 2,000 oz x 5 years               10,000 oz
gold remaining                          90,000 oz

quantity-style purchasing-power index
100,000 / 90,000 = 1.11

The miniature holds the work performed by money constant. A 10 percent contraction therefore gives the remaining gold an index near 1.11, not an instant jump on the day the tax is announced.

Move “Years elapsed” back to zero: the tax may already exist, but the stock has not contracted and the value index remains 1.00x. Then increase annual withdrawal and watch the adjustment accelerate.

A stock tax and a mine tax are not identical

Ricardo separates two tax bases:

Tax baseImmediate effectAdjustment path
Gold already in circulationExisting money holders surrender part of their stockThe smaller stock eventually raises each remaining unit's value
Gold produced at minesMarginal mines lose profitability and some closeLower annual production slowly contracts the total stock

Both tend to reduce quantity and raise gold's value. Neither raises value fully before quantity falls. During the interval, money owners can bear the loss; in the long run, mine rent and purchasers of gold used as jewellery or manufactures bear the lasting burden.

Worked miniature: three mines

Ricardo imagines three mines producing 100, 80, and 70 pounds of gold with equal capital. Before tax, the 70-pound mine sets the margin.

MineOutputRent above the 70 lb margin
No. 1100 lb30 lb
No. 280 lb10 lb
No. 370 lb0 lb

Now impose a fixed charge of 70 pounds on every working mine. Mines 2 and 3 close; only mine 1 remains. Its capitalist keeps 30 pounds after tax, so those 30 pounds must eventually buy what 70 pounds bought before if ordinary profit is to be restored.

Ricardo's national-accounting claim is subtle: Spain can obtain the exchange value of its former gold exports with less mining capital, while the released capital produces other goods. Individual mine landlords lose rent, but Ricardo treats rent as a transfer rather than newly created national output.

Fixed charge versus a share of output

Tax design again matters. A fixed charge can close marginal mines immediately. A moderate percentage of each mine's output may leave the incentive to produce unchanged, transferring gold to the state without reducing the total quantity at once.

If the percentage becomes large enough to absorb rent and ordinary profit, capital then leaves and the quantity mechanism begins.

fixed charge per working mine
        --> marginal mines close --> quantity falls --> value rises

share of every mine's output
        --> output may continue --> quantity unchanged --> value does not yet rise

Limits of the argument

Ricardo narrows the model explicitly. It fits a society where precious metal is used as money and paper credit is absent or tightly linked to a gold standard. Paper currency can be reduced much faster than a huge metallic stock, so it can shorten the adjustment.

The monopoly assumption also matters. Spain did not own every precious-metal mine, and European use of paper money limited demand for monetary gold. The thought experiment isolates a mechanism; it is not a claim that every historical gold tax creates the same gain.

Key takeaways

  • A tax raises gold's natural cost immediately, but market value rises only after quantity contracts.
  • Durable monetary gold adjusts slowly because the existing stock is large relative to annual mine output.
  • During the lag, mine owners and holders of money can bear the tax.
  • A fixed charge on each mine can close marginal mines; a moderate share of output may not reduce production at once.
  • Money is peculiar in Ricardo's model: a smaller quantity can perform the same exchanges if each unit becomes more valuable.
  • Released mining capital can produce other goods, which is the source of Ricardo's claimed national gain under the monopoly thought experiment.

Checklist

  • [ ] Can you distinguish gold's natural price from its current market price?
  • [ ] Can you explain why a large monetary stock creates a long adjustment lag?
  • [ ] Can you use the Lab to produce a faster and a slower contraction path?
  • [ ] Can you identify who bears the tax during the transition?
  • [ ] Can you explain why a fixed mine charge differs from a percentage of output?
  • [ ] Can you state the gold-money, paper-credit, and monopoly assumptions?