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At the start of another Employment week, the same refrain echoes: higher equity markets, soft commodities markets (because changes in China's policies will hurt the demand for commodities…but I suppose that it will not hurt the profitability of U.S. shares?), and continued negative news from Europe that is mostly ignored during Employment week.

Actually, maybe the news from Italy is being mostly ignored here because it is hard for Americans to truly fathom what is going on. Remember that the basic issue is that a majority of Italians voted for one or another party that favored ending austerity measures and/or leaving the Euro, but left no single party controlling both houses of parliament. Until yesterday morning, it appeared that no single party would be able to form a government, which meant that a new election would likely be called soon. But now it appears that the Five Star Movement (Beppe Grillo's party) is offering to stage a walk-out from the senate.

Now, that sounds negative, right? Well, actually it's progress (and Grillo's party would have to be given some policy concessions in exchange for walking out, which sounds like "lovely parting gifts" to me) since Five Star doesn't have enough delegates to prevent a quorum from being established if they leave (with no quorum, the body cannot conduct business) but their absence would allow a majority to be established on a lower number.

In the U.S., the approach would be different: the Senators would reach a deal and then vote on the deal, with no one having to manipulate the process in an arcane Robert's-Rules-of-Order fashion. On the other hand, they had a senate in Rome about 2,500 years before we had one, so who are we to question their parliamentary process?! And our institutions are no less clownish at times…such as right now, since despite so many dire threats the world apparently did not end over the weekend once the budgetary sequester went into effect..

Since the markets were quiet on Monday (and likely will remain relatively quiet until the Employment report on Friday, if recent patterns hold true), I thought I'd take up a topic I've been meaning to discuss for a while: a look at the relative value of gold and a link to an interesting new paper on gold.

First, let me say that our systematic metals and mining strategy is currently approximately neutral-weight on gold itself, overweight on industrial metals, and deeply underweight on mining stocks. But that strategy relies on metrics I am not discussing here. Moreover, nothing that I discuss here should be taken as an indication of whether Enduring Investments would suggest an investor should add or subtract to his or her particular exposure.

Disclaimer completed, let's look at the yellow metal relative to other assets, as I first did in this space back in August of 2010, when I concluded that gold did not look particularly overvalued. Gold subsequently rallied another 60%, then slid (in case you haven't heard!). It is currently still 30% above where it was in August of 2010. So is it overvalued?

Some observers have noted that the 'real price of gold' (that is, gold deflated by the current price level) has recently risen to levels not seen since the peak of the gold market in the early 1980s (see chart, source Bloomberg, which shows gold in constant December 2012 dollars).

(click to enlarge)

This is true, of course, but measuring the 'real' price of gold is a funny concept. The gold price relative to the cost of the consumption basket is a metric that has meaning, because it tells you how much consumption you displace to buy an ounce of gold, but unless you're evaluating the consumption of gold I am not sure that's a relevant metric.

On the other hand, it makes more sense to me to look at investments relative to gold, since that's what is likely to be displaced by a purchase of gold. Some of these relationships are not particularly useful analytically, though, or at least appear at first blush not to be. For example, looking at gold versus the stock market (see chart, source Bloomberg) you can't tell very much except that gold was rich or stocks were cheap (or both) in 1980 and gold was cheap or stocks were rich (or both) in 2000. Or, so I wrote in 2010.

(click to enlarge)

However, I subsequently noticed another chart that looked somewhat similar. Below I have put the data from the chart above alongside a measure of the volatility of inflation expectations, as taken from the Michigan Sentiment Survey. (As I've written previously, surveys of sentiment are not satisfying ways to measure true inflation expectations, but they're all we've got and they might nevertheless be valuable in measuring the volatility of inflation expectations, which is what we're trying to do here).

(click to enlarge)

(Source: Enduring Investments)

The notion is this: when inflation expectations are becoming both lower and more stable, then stocks become more valuable and gold less so as an investment item. But, when inflation expectations are rising and/or becoming less-stable, then stocks become less valuable and gold more so as an investment item. I haven't worked very carefully to refine this relationship, but the Michigan series begins in 1978, so that's the main limitation. Yet, without any lags nor tweaking of period lengths, the R-squared here (on levels, not changes) is 0.745, which is firmly in the "interesting" category.

Having said that, unless we're able to forecast the volatility of inflation this isn't particularly helpful in assessing whether gold is rich or cheap relative to stocks (although on the regression, not shown, the ratio of gold/S&P is 1.04 but ought to be more like 1.07, so gold looks slightly cheap to stocks). The main thing we can do with this is explain why gold prices have risen relative to stock prices over the last decade, and it makes sense. In this context, the recent slide in gold/rally in stocks can be attributed to a soothing, perhaps temporary, change in consumers' concerns about inflation.

The champion relationship, although less creative, is the ratio of gold to crude. Over a long period of time, an ounce of gold has bought between 15 and 20 barrels of crude oil (West Texas Intermediate), with occasional spikes wider and at least one lengthy period between 7 and 12. The chart below (source: Bloomberg) shows this classic relationship. It makes some sense that two hard commodities, both exchange traded and having no natural real return to them, ought to broadly parallel each other over time. Again, this isn't a very good trading relationship but it is a decent sanity check.

(click to enlarge)

By this measure, gold is approximately at fair value, although an argument could be made that WTI is no longer the fair price for crude. In terms of Brent Crude, Gold is only 14.3 barrels and so arguably slightly cheap.

None of this will delight the gold bulls, but it also won't delight the gold bears. Gold, at least the way I look at it, seems to me to be somewhere between slightly cheap to roughly fair value versus a pair of comparables. Of course, it may be that stocks and crude oil are slightly expensive, on the other hand!

Gold bulls and bears also will both find things to like and things to dislike in a paper by Erb and Harvey called "The Golden Dilemma." Given that gold bulls tend to be more, er, passionate about the subject, they will likely be more strident in their disagreements but it is a capable attempt to tackle many of the well-known arguments for owning gold and put them to logical and empirical test.

These gentlemen (who have some serious chops in commodities research) conclude that as an inflation hedge, gold is (1) not an effective short-term hedge, (2) not an effective long-term hedge, (3) might be effective over the very, very, very long-term, and (4) are probably effective in a hyper-inflationary situation. Although this depends somewhat on your meaning of "hedge," I concur that gold is not a hedge. It can, with some work, be made into a smarter hedge, which works better (especially in conjunction with other metals, and mining stocks). But they make a fairly powerful argument that if there's even a teensy chance that hyperinflation happens, a high gold price can be rational since the tail of an option contributes quite a bit to its value.

Incidentally, a slide-show version of the paper is here and is pretty good even if you didn't read the paper.

Source: Gold And Dilemmas