Is Gold Driving Silver?

 | Jan 17, 2014 01:12PM ET

Investors’ interest in silver is starting to rebound after last year’s carnage. As capital prepares to return to this beaten-down asset, many investors are wondering how to game silver price action. Gold is the key. The white metal closely mirrors and amplifies the price action in the yellow one. Gold is not only silver’s primary driver, but its overwhelmingly dominant one. Gold is critical for timing silver buying and selling.

The more years you spend trading precious metals, the more self-evident this truth becomes. Gold drives silver, full stop. After my 14 years of closely watching gold and silver price action in real-time all day every day, I simply take this ironclad relationship for granted. I can scarcely even write about silver without mentioning it in passing. Gold drives silver is a core trading axiom much like buy low sell high.

Silver looks extraordinarily bullish in 2014, from multiple perspectives discussed in my latest few essays. In each of them I peripherally mentioned gold drives silver, which is like saying the sky is blue. So I’ve been very surprised by feedback on this fact ranging from incredulity to hostility. Some don’t believe it, others challenge me to prove it, and a few are angered by the affront silver is mostly dependent on gold.

In defense of the latter, sometimes I mischievously provoke the hardcore silver zealots with flippant comments like calling silver “gold’s little lapdog”. They just love that! But the hard math of market history doesn’t lie, gold drives silver to a massively dominant degree. Silver is effectively a leveraged play on gold, just like the gold stocks. This critical truth is supported by extensive historical underpinnings.

The silver price is highly correlated with gold, which no one will dispute. These precious metals move in unison the vast majority of the time. While this is readily evident observationally to veteran investors, it is also absolutely provable statistically. Correlation coefficients are the constructs that mathematically quantify the relationships between two data series, such as the price of silver and the price of gold.

Technically correlation coefficients are derived from dividing the covariance (how data changes together) of two variables by the product of their standard deviations. If that sentence didn’t make your eyes glaze over, you’re a better man than me. Thankfully this tedious underlying math is automated through modern computer spreadsheets. Microsoft Excel’s CORREL function does all the heavy lifting.

Statisticians label the resulting correlation coefficient as “R”. But that’s not quite enough for investors to risk capital on. Multiplying the correlation coefficient by itself yields a second construct called the coefficient of determination, or “R-squared”. This reveals the actual percentage of any price’s movement that is statistically explainable by a second price’s action. I bastardize this label to “r-square” in my work.

So if silver and gold have a 0.9 correlation coefficient, squaring that yields an r-square of 81%. 81% of the price action in one is directly explainable by the price action in the other. In this example, just 1/5th of either one’s price action is independent of the other’s. Over time achieving success in investing demands making high-probability bets, so if an r-square is high enough the residual is largely irrelevant.

As statisticians love to point out, correlation does not imply causation. Silver and gold are indeed highly correlated, their price action deeply interrelated. So mathematically at least, the case for silver driving gold is equal to the one for gold driving silver. Maybe silver is actually the dominant metal, and gold simply follows it! But of course this makes little sense fundamentally or practically, gold dominates silver.

The global gold market is orders of magnitude larger than silver’s, gold trading dwarfs silver trading. All over the world, traders are quick to buy and sell gold based on stock-market performance, economic data, and central-bank actions. The tiny highly-speculative silver market just follows along for the ride. If you watch silver futures very closely in real-time, there is a seconds-to-minutes delay after gold moves.

Silver is a speculators’ playground dominated by greed and fear. Silver traders watch gold closely for their trading cues. They grow bullish and greedily buy silver when gold is strong, so silver follows and amplifies gold’s upside. Then they wax bearish and rush to fearfully sell silver when gold is weak, so silver leverages gold’s downside. The giant gold market drives the tiny silver one, not the other way around.

Our charts this week offer the hard mathematical proofs of silver’s near-total dependence on gold. They show silver prices superimposed over gold’s during their last secular bulls and bear. Correlation r-squares derived from Excel’s CORREL function over key spans for silver are shown in yellow. You can easily replicate these results with your own daily closing data if you feel the need to verify this truth.