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Low nominal interest rates
Short-term nominal interest rates are rising and that is good:
The nominal short rate is the "shadow real interest rate" (as defined by the investment opportunity set) plus the inflation rate, or zero, whichever is greater.
That's from Fischer Black and the implication is not a cheery one. It's either deflation or an unproductive real economy or both. Here is the full abstract:
Since people can hold currency at a zero nominal interest rate, the nominal short rate cannot be negative. The real interest rate can be and has been negative, since low risk real investment opportunities, like filling in the Mississippi delta, do not guarantee positive returns. The inflation rate can be and has been negative, most recently (in the U.S.) during the Great Depression. The nominal short rate is the "shadow real interest rate" (as defined by the investment opportunity set) plus the inflation rate, or zero, whichever is greater. Thus the nominal short rate is an option. Longer term interest rates are always positive, since the future short rate may be positive even when the current short rate is zero. We can easily build this option element into our interest rate trees for backward induction or Monte Carlo simulation: just create a distribution that allows negative nominal rates, and then replace each negative rate with zero.
Posted by Tyler Cowen on October 23, 2008 at 05:29 AM in Economics | Permalink
Comments
The title should be "Low nominal interest rates in fine prints" :)
Posted by: Yan Li at Oct 22, 2008 5:19:34 PM
Within 3 years of his writing that statement Japan's short term nominal interest rates went negative. It's a weird scenario, but understanding why it happens is pretty cool and helps explain some preferences for how people like to store money.
Posted by: Patrick at Oct 22, 2008 7:14:41 PM
I'm afraid I don't understand. What's going on here?
Posted by: Robert Olson at Oct 22, 2008 11:14:25 PM
Wow, that is a blast from the past. When I left academia and was cramming mathematical finance in NYU's library (trying to get a job on Wall Street), I read that Black paper and had a great paper idea on the tip of my cerebellum. I was going to marry his financial analysis with a general equilibrium framework of physical production. (In other words, the financial models of interest rate "trees" etc. seemed underdetermined to me, since they weren't taking into account the physical realities of saving and investment.)
But before I wrote my brilliant paper I got a job offer.
More seriously, Tyler, it would be great if you offered an explanation of why real yields have apparently shot up so much recently. Specifically, look at the five-year TIPS yields. Are people all of a sudden expecting much stronger real growth?!
Posted by: Bob Murphy at Oct 23, 2008 12:12:24 AM