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During the first nine years of this gold bull market, gold prices moved with a nearly perfect inverse relationship to the U.S. dollar. Indeed, in the early years gold was only really moving up against the greenback; it was only after a few years that it began to appreciate against all currencies. The game plan was simple; The dollar is going down, so gold in USD terms is going up with some leverage factor.

Gold worked well as both a USD hedge and as a tool to speculate on a USD decline ... but this is no longer the case.

[Click all to enlarge]

USD Gold 2001-2009 SK Options Trading

Nothing lasts forever, and over the past two years or so this inverse relationship has broken down significantly. The gold story is no longer simply a USD devaluation play.

USD Gold 2009-2011 SK Options Trading

As the above chart shows, although there are times when the inverse relationship remains intact, there are long periods where gold and the USD move together.

The most significant reason for this is that the euro is a lot less desirable than it was a few years ago. Since all currencies trade on a relative basis, it doesn’t matter if the USD has poor fundamentals; if the picture for the euro is worse relative to the USD, then the greenback will make gains against the euro. During periods where the euro zone debt crisis has been the focus of market attention, gold and the U.S. dollar have been bought, since both are preferable to the euro and provided a safe haven.

The key point of this article is not to say that gold will not rise is if the U.S. dollar falls; it is to point out that gold is no longer as effective as a USD hedge. To show this, we present a scatter plot of the closing prices for the USD index and gold over the last two years.

Gold USD Closing Scatter

Although the trend line has a slightly negative slope, it is hardly convincing, and the R-squared value of 0.0188 further diminishes the creditworthiness of gold as a USD hedge. For those unfamiliar with this, the R-Squared value is a statistic that indicates how good one variable is at predicting the other. For our purposes, it is a measure of how good a decline in the USD index is at predicting a rise in gold. If the R-Squared value is 1, then given the value of one variable, one can exactly predict the value of the other. If R-squared is 0, that means that knowing the value of one variable does not help you predict what the other variable will be.

So the higher the R-Squared value, the better one variable is at predicting what the other may be -- and therefore the stronger the implied relationship is between them. An R-squared value of 0.0188 is extremely poor, and almost indicates no predictive abilities between the movements in the USD and gold.

However, to get a fairer picture we should look at the relative returns of the USD and gold.
Gold USD Daily Returns

This does give us a higher R-squared value at 0.0946, but it is still very low and hardly convincing that gold has been an effective hedge against declines in the USD over recent years. Repeating the above exercise for silver and the USD index yields similar results, with R-squared values of 0.0844 and 0.1269. Although these are slightly higher than gold is, it is still nothing to write home about -- let alone base a trading or investment strategy on.

Silver USD Closing Scatter

Silver USD Daily Returns

To give you an idea of what a strong relationship between two assets should look like, we have repeated the above exercise for gold against silver, a relationship which is much stronger.

Gold Silver Closing Scatter

Gold Silver Daily Returns

Although gold and silver obviously have a positive correlation versus the negative correlation between gold and the USD, and silver and the USD, we are not looking at whether the relationship is positive or negative; we are only concerned with the strength of any such relationship.

Furthermore, when we calculate the correlation coefficients for gold and the USD we get -0.137; for the USD and silver we get -0.290 -- both of which imply a very weak negative correlation. Compare this with the very strong positive correlation between gold and silver of 0.905.

Therefore, statically speaking, over the past two years gold has been a very poor hedge against a declining USD. Of course this situation may change, and just because the relationship has been weak over the last couple of years doesn’t mean that there were not periods where the USD and gold exhibited strong negative correlations.If the USD index were to fall out of bed we would be expecting gold prices to rise; however, over a broader horizon or when moves are more moderate or contained within a range, don’t count on gold moving the opposite direction to the greenback.

In our opinion, if you hold a view that the USD Index is going to fall, then short the USD Index rather than taking a long position on gold. You are running the risk that gold and USD could move together, and you are not being compensated for that risk by any leverage factor in gold.

If you cannot trade futures, there are ETNs that allow you to gain exposure to the USD Index, such as the PowerShares DB US Dollar Bullish Fund (NYSEARCA:UUP) and the PowerShares DB US Dollar Bearish Fund (NYSEARCA:UDN). Options are traded on these funds as well, if you wished to use options to play a move in the USD Index.

In conclusion, we hope to have shown that gold simply isn’t a clean hedge against the USD anymore. When trading, one should aim to tailor positions to match one's view and optimize the risk/reward dynamics. If you think that the USD is going to fall, short it. If you think gold is going to rise, then buy gold. Taking a long position on gold purely because you think the USD Index is going to fall is not really statistically justifiable, due to the weakness of the relationship between the two.

Disclosure: I am long GLD, SLV via a combination of option holdings