If the Fed thinks that recent commodity price moves have nothing to do with their own actions, perhaps they should think again.

The yield on the 2-year Treasury fell on Friday to 1.5%. It's impossible to imagine that the average inflation rate over the next two years could be less than 2%, meaning that the real interest rate -- the nominal rate minus expected inflation -- has become unambiguously negative. Greg Mankiw is impressed that when you plot the implied real yield on the Treasury inflation indexed security maturing in 2010, you indeed get a graph of the real interest rate that has recently become quite negative. If there is no inflation over the next two years, you'd actually pay more in dollars to buy this security than you will receive back in coupons and principal. With inflation, you may make a nominal gain, but you're guaranteed to end up with less than you started in real terms. Click to enlarge:

Source: FRED

Apart from the evidence of your lying eyes, does economic theory allow the possibility of a negative real interest rate? The answer, in an economy in which there is only a single consumption good that can be costlessly stored, is no. In such a world, you would never park your capital in the form of a Treasury asset that cost you one potato today and repaid you 0.99 potato next year, when you had available an opportunity instead to put a potato in your cupboard today and still have a perfectly good potato next year.

As Greg points out, in the actual U.S. economy we of course have thousands of goods and services, many of which cannot be stored at all, and most potatoes don't actually fare that well if you leave them in your cupboard for a year. But some items certainly can be stored pretty easily, and it is quite striking that the list of goods that are most readily stored is precisely the list of items whose price has been bid up most spectacularly since the real interest rate turned negative. The accompanying table displays the nominal price change over the last two months in the prices of the main commodities I could get my hands on through Webstract. Note these are the actual changes since January 1-- to quote these at an annual rate you'd multiply by about 6.

Can the real interest rate be negative in a world where some but not all goods can be stored costlessly? Consider for illustration an economy with two goods, immortal potatoes and transient haircuts, with both items currently selling for $1 and both given equal weights in the CPI. If you put $2 into a 1-year TIPS with a real interest rate of -1% in that world, next year you'd have the ability to purchase 0.99 potatoes and 0.99 haircuts.

Why buy the TIPS when you could simply save the $2 in the form of 2 potatoes and still have those same 2 potatoes a year from now? If nothing else changes, and 2 potatoes were still worth 2 haircuts a year from now, everybody would want to do just that. If we were in long-run equilibrium before the real rate went negative, in response to a negative real interest rate, everybody would want to buy potatoes today as an investment vehicle. The price of potatoes today would have to be bid up to a point above the long-run equilibrium so that from here, potato prices are expected to rise less quickly than the price of hair cuts. Your 2 potatoes might be worth 2 haircuts today, but if they're only worth 1.96 haircuts next year, you might be just indifferent between an investment in TIPS or physically storing the commodity.

Now the real world is admittedly more complicated. Playing commodities is the farthest thing from a risk-free investment, and the calculation is more along the following lines. There is a downside risk from investing in commodities, and that downside risk grows the farther relative commodity prices move above their long-run equilibrium values. But the lower the real return available on assets such as Treasuries, the more investors are willing to face those risks, with negative real rates just producing an extreme version of that calculation. This of course is just a variant of Jeff Frankel's claim that interest rates are a prime driver of commodity prices.

I'm also willing to believe that there are a number of investors plunging into commodities today who don't know what they're doing. The economic fundamentals warrant a temporary increase in the relative price of commodities, for the reasons just given. Some less sophisticated investors see the surging commodity prices and jump on the bandwagon, thinking they're going to continue to go only up. To the extent that this is part of what's going on in the current market, it is just one more reason why commodity prices have responded as sharply as they did to negative real interest rates.

But wouldn't it be nice if instead of reasoning by "suppose that" and "what if", economists could resolve our disagreements like real scientists with controlled experiments? I have a modest suggestion along these lines.

With the Fed's target interest rate currently at 3.0%, a 1.5% two-year nominal Treasury yield implies that the market is expecting the Fed to cut rates a whole lot more and in a big hurry. Is 75 the new 25? asks Greg Ip-- we used to expect 25 basis points each meeting, now it seems to be 75.

So the Fed would clearly shock the markets by only bringing the rate down 25 basis points this month, to a new target of 2.75%. If Frankel is correct, we'd see an immediate plunge in commodity prices across the board. If we didn't see that price response, then the outcome of the experiment would have proved that the Fed is right in claiming that the recent commodity price moves have nothing to do with the FOMC.

So how about it, Ben? Wouldn't it be fun to collect a little high-quality data here? In the name of science?

James Hamilton

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This article has 6 comments:

  •  
    Mar 09 05:04 PM
    LOL, that would be a killer experiment. Ofcourse the stock market would self destruct, if only temporarily :)
    i disagree in that demand is the primary driver of commodities prices, but prices do seem over inflated and your theory that it is due to the low fed rate could certainly be one of the reasons.
    is the weak dollar also due to the low rate. what a vicious circle.
  •  
    Mar 09 06:27 PM
    Over inflated by what measure? Gold should be over $2000 just to be even with the 1980 price inflation adjusted. We have had a 20 yr bear market in commodities. We are just 5 yrs into a bull market.
  •  
    Mar 09 07:16 PM
    With floating fx/non convertible currency the govt of issue can set the nominal rate at any level it wants to. There are no market forces that come to bear on the nominal interest rate. The Fed votes on the rate and that's where it goes.

    see 'Soft Currency Economics' at moslereconomics.com
  •  
    Mar 10 06:55 AM
    A very good simplification of the elements of conditions.

    Reminder of "Regressions to the Mean" are also in order.

    However, the stats on "stockpiles" and rates of movements and uses (shipping, conversions, etc.) with respect to specific commodities (as opposed to a broad, generalized commodities "index") should be taken as an indicator of relative demand; and thus, of the relative weight of demand in "relative " (per currencies) prices.

    No one test or experiment will be "conclusive,"... though the results might be indicative of something unexpected!
  •  
    Mar 10 11:08 AM
    My belief is that the commodity price increases are directly tied to Hedge fund managers looking for avenues (ANY avenues) for investment since they have pulled so much money out of stocks and risky derivatives since January. Just my $0.02.
  •  
    Mar 10 11:11 AM
    AJ: That is a given, the question becomes, why the parabolic spike, James explained it wonderfully.
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