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The commodities we are concerned with here are those with potentially very low storage costs. Minerals, when kept in the ground, have a storage cost next to zero. I observed a strong link between the evolution of the market price of minerals and the slope of the yield curve. The slope of the yield curve indicates the preference of the market between short-term assets and long-term assets.

Attention: My model says a yield curve is normal if the differential between long-term rates and short term rates pay exactly for the interest risk (market indifference). It is steep if the differential between long-term rates and short term rates pay more than the interest rate risk (market preference for long-term assets). It is inverted if the differential doesn't pay for the interest rate risk. As a result, a yield curve may have a positive slope and still be inverted, contrary to the general perception.

When the yield curve is inverted, because of profit maximization, Miners & Drillers, as a group, prefer hoarding a higher proportion of their minerals in the ground (their preferred short-term assets) rather than extracting them and investing the proceeds in long-term instruments. Hence, the marginal cost of extraction of minerals becomes irrelevant to their market price as miners stop maximizing their output under the constraint: Market Price - Their Marginal Cost of Extraction > 0 . Reminder: the

Chart of the Slope of the Yield Curve

click to enlarge all images

Profit maximization would have them trying to retain a higher proportion of their minerals in the ground rather than extracting them. The quality of the index, the slope of the yield curve, is superior to any other known system.

Need for a Global Parameter: The price of minerals has grown unabated since the yield curve started being inverted with acceleration when the Federal Reserve started increasing short-term rates from 1%. At that time, long term interest rates were so low that the yield curve became inverted when the short term rates reached 2.5% All of the minerals have grown together, which cannot be explained by the growth of the marginal price of extraction alone; no price increases have caused the price of any mineral to stop its growth as a result of an increased investment in exploration.

Chart of Oil and EuroDollar

Chart of Gold and EuroDollar

This correlated increase in the price of minerals must be caused by a global parameter. Harvard Economics Professor Jeffrey Frankel, in Monetary Influences on Commodity Prices, a summary of The Effect of Monetary Policy on Real Commodity Prices, made the hypothesis that a decrease in real interest rates ("real" rates exclude inflation) increases the demand for storable commodities. However, during the increase of short-term rates from 1%, under the chairmanship of Alan Greenspan, inflation didn't grow as fast as short-term rates and still minerals kept growing. Storable from an industrial point of view should be different than from an economic point of view: if you need to build a Fort Knox, hire people to handle your stock and guard it; your cost might be higher than any expected revenues. Storage outside the ground would not be economically viable as the cost of storage would be added to the interest rates; under this assumption, the only storable commodity would be minerals. The low interest rate argument doesn't hold as you can always sell the commodity on futures markets and earn the short-term interest rate. As a result, there is an implied short-term interest rate embedded in a commodity.

My Hypothesis is Different

The Hidden Parameter: Interpretation of the Yield Curve

A normal yield curve means that the market is indifferent between long-term and short-term assets (neutral monetary policy). A steep yield curve means that the markets prefer long-term assets over short-term assets (accommodative monetary policy). An inverted yield curve means that the market prefers short-term assets rather than long–term asset (restrictive monetary policy).

Financial decisions are always about choices: If you consider the minerals as short-term assets, you come to the conclusion that miners, confronted with an inverted yield curve, would prefer to hold minerals The shape of the yield curve is paramount in any financial decision, rather than long-term assets.

“Inventory accumulation is likely to continue unless demand rises, output declines, or we run out of storage capacity.” (Remarks by Chairman Alan Greenspan on Energy before the Economic Club of New York, NY, New York, May 20, 2005)

Hence, miners would keep a higher proportion of their minerals in the ground where storage is infinite and almost free to them (for a miner, the best short-term asset is minerals in the ground, so selling them in order to buy short-term financial assets is simply not relevant), rather than sell them and invest the proceeds in long-term assets. Because of their self-restraint on output, hence on supply, they generate as the commodity price rises, which is compounded with the increase in their unrealized revenues. That behavior need not be conscious but is probably the result of the propagation of arbitrages through the different financial markets, among them the cash and derivative markets on fixed income securities and the cash and futures markets for minerals.

Circumstantial evidences: How else would we understand that, over such a short period of time, the cost of oil was multiplied by 5, with a low depletion of the proven reserves? How else would we understand that all the minerals saw their costs rising in the same period with a next to perfect correlation? It cannot be explained by the growth of the marginal price of extraction alone: no price increases have caused the price of any mineral to stop its growth as a result of an increased investment in exploration.

Reminder: the Marginal Cost of Extraction does not include fixed cost (i.e. exploration cost, cost of an offshore platform, etc...). How else would you explain the fact that the rise of minerals started shortly after the rise from 2.5% of short-term interest rates by the Federal Reserve? At the same time, the yield curve was under the influence of the famous Greenspan Conundrum, which caused the inversion of the yield curve.

Term Structure of Forward Prices: In their work, Equilibrium Forward Curves for Commodities, Bryan R. Routledge & Duane J. Seppi & Chester S. Spatt charted the forward curves for high and low demand for commodities.

Term Structure of Forward Prices of Commodities

With high demand and increasing prices, the slope of carry rate is negative and the implied interest rate decreases, which suggest that the yield curve is decreasing: it is coherent with a reversed yield curve. With low demand and decreasing prices, the slope of carry rate is positive and the implied interest rate decreases, which suggest that the yield curve is increasing: it is coherent with a normal or steep yield curve.

Price movements: Should the yield curve on the U.S. dollar return to normal, as it did on Monday, March 13th, the miners would stop hoarding their reserves in the ground and the prices should go down in the direction of their marginal cost of extraction. Should the yield curve stay normal or steep for a protracted period of time, the price of commodities would reach its marginal price of extraction. According to my hypothesis, that price must be much lower than the expectation of all market participants. Because most of the hedge funds holding are outside the ground, they are not constrained by the marginal cost of extraction; should the price of mineral go down, we should see some overshooting, in particular in minerals with low industrial use: gold and silver.

Graph of the Normal Slope vs. Short-Term Interest Rate

My model of the yield curve comes from empirical observations over a 14 year time span. It is backed by a modified work of one of the most respected and reliable academics in the field of mathematical finance. The modification was simply the relaxation of one parameter which the researcher himself didn't use in his other related work.

The Minerals Paradox: A restrictive monetary policy increases the price of minerals, including oil, and participates in the building up of inflation.

Conclusion

Precision of the Model: The precision of my model of the yield curve varies from 1 basis point to 5 basis points. A change of one basis point around the normal curve means a movement of several dollars of the price of the minerals in one direction or the other.

Timeliness: The reaction of the mineral markets to a twist of the slope of the yield curve around its normal value varies from instantaneous to one hour.

Measure of the Quality of the Decision: The steeper or the more reverse the slope of the yield curve, the more stable the price movement. In that sense, it can allow for safer trades and to calibrate the size and risk of their exposure. Because short-term yields and long-term yields have a high correlation, the dynamic of the slope of the yield curve is slow, which allows the trader to make better decisions with less pressure.

Asymmetry of the Price Movements: My model implies that when the curve is normal or steep, the fall of the price is much faster than the rise of prices when the curve is inverted.

Higher Limit of Mineral Prices: Under this framework, there is no theoretical higher limit of the price of the minerals, however, should the yield curve become normal or steep, the fall of the price would be accelerated by the difference between market price and marginal cost of extraction.

Caveat:

"Risk management involves judgment as well as science, and the science is based on the past behavior of markets, which is not an infallible guide to the future." (Remarks by Chairman Alan Greenspan, Risk Transfer and Financial Stability, To the Federal Reserve Bank of Chicago's Forty-first Annual Conference on Bank Structure, Chicago, Illinois (via satellite), May 5, 2005)

Funds liquidations: My model supposes that the market is driven by the miners. If the market falls sufficiently in order to cause wide fund liquidations, it stops working; the funds don't have a zero cost of storage and they are not governed by the shape of the yield curve. Hence, the market can fall with a reversed yield curve. The model will return to its operational work on any significant technical rebound. In that case, the trader must use his own judgment and try to gauge the size of fund liquidation.

Large positions: A trade when the yield curve is normal is rewarding, but the risk to see the yield curve revert to inverted can be sudden: it is not fit for large positions.

Connected markets: The ethanol, and in a lesser proportion, corn and wheat markets, because of the agricultural surface they displace, have some positive correlation with the market for minerals; however, my experience tells me that fund managers should stick to minerals where the connection with the slope curve is the strongest.

Portfolios: In order to shield from specific risk when a particular mineral price is influenced by some random news, it is advisable to use a portfolio of minerals rather than one specific mineral.

References:

This article is tagged with: Macro View, Commodities, Editors' Picks, United States
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