Monthly Archives: October 2016

October Surprises

I recently talked with Jim Tankersley of the Washington Post about October surprises.

What Are Real Business Cycles?

The real business cycle model is often described as the core of modern business cycle research. What this means is that other business cycle models have the RBC model as a special case (i.e. strip away all of the frictions from your model and its an RBC model). The idea that the RBC model is the core of modern business cycle research is somewhat tautological since the RBC model is just a neoclassical model without any frictions. Thus, if we start with a model with frictions and take those frictions away, we have a frictionless model.

The purpose of the original RBC models was not necessarily to argue that these models represented an accurate portrayal of the business cycle, but rather to see how much of the business cycle could be explained without the appeal to frictions. The basic idea is that there could be shocks to tastes and/or technology and that these changes could cause fluctuations in economic activity. Furthermore, since the RBC model was a frictionless model, any such fluctuations would be efficient. This conclusion was important. We typically think of recessions as being inefficient and costly. If this is true, countercyclical policy could be welfare-increasing. However, if the world can be adequately explained by the RBC model, then economic fluctuations represent efficient responses to unexpected changes in tastes and technology. There is no role for countercyclical policy.

There were two critical responses to RBC models. The first criticism was that the model was too simple. The crux of this argument is that if one estimated changes in total factor productivity (TFP; technology in the RBC model) using something like the Solow residual and plugged this into the model, one might be misled into thinking the model had greater predictive power than it did in reality. The basic idea is that the Solow residual is, as the name implies, a residual. Thus, this measure of TFP only captured fluctuations in output that were not explained by changes in labor and capital. Since there are a lot of things besides technology that might effect output other than labor and capital, this might not be a good measure of TFP and might result in attributing a greater percentage of fluctuations to TFP than was true of the actual data generating process.

The second critical response was largely to ridicule and make fun of the model. For example, Franco Modigliani once quipped that RBC-type models were akin to assuming that business cycles were mass outbreaks of laziness. Others would criticize the theory by stating that recessions must be periods of time when society collectively forgets how to use technology. And recently, Paul Romer has suggested that technology shocks be relabeled as phlogiston shocks.

These latter criticisms are certainly witty and no doubt the source of laughter in seminar rooms. Unfortunately, these latter criticisms obscure the more important criticisms. More importantly, however, they represent a misunderstanding of what the RBC model is about. As a result, I would like to provide an interpretation of the RBC model and then discuss more substantive criticisms.

The idea behind the real business cycle model is that fluctuations in aggregate productivity are the cause of economic fluctuations. If all firms are identical, then any decline in aggregate productivity must be a decline in the productivity of all the individual firms. But why would firms become less productive? To me, this seems to be the wrong way to interpret the model. My preferred interpretation is as follows. Suppose that you have a bunch of different firms producing different goods and these firms have different levels of productivity. In this case, an aggregate productivity shock is simply the reallocation from high productivity firms to low productivity firms or vice versa. As long as we think of all markets as being competitive, then the RBC model is just a reduced form version of what I’ve just described. In other words, the RBC model essentially suggests that fluctuations in the economy are driven by the reallocation of inputs between firms with different levels of productivity, but since markets are efficient we don’t need to get into the weeds of this reallocation in the model and can simply focus our attention on a representative firm and aggregate productivity.

I think that my interpretation is important for a couple of reasons. First, it suggests that while “forgetting how to use technology” might get chuckles in the seminar room, it is not particularly useful for thinking about productivity shocks. Second, and more importantly, this interpretation allows for further analysis. For example, how often do we see such reallocation between high productivity firms and low productivity firms? How well do such reallocations line up with business cycles in the data? What are the sources of reallocation? For example, if the reallocation is due to changes in demographics and/or preferences, then these reallocations could be interpreted as efficient responses to structural changes in the economy and be seen as efficient. However, if these reallocations are caused by changes in relative prices due to, say, monetary policy, then the welfare and policy implications are much different.

Thus, to me, rather than denigrate RBC theory, what we should do is try to disaggregate productivity, determine what causes reallocation, and try to assess whether this is an efficient reallocation or should really be considered misallocation. The good news is that economists are already doing this (here and here, for example). Unfortunately, you hear more sneering and name-calling in popular discussions than you do about this interesting and important work.

Finally, I should note that I think one of the reasons that the real business cycle model has been such a point of controversy is that it implies that recessions are efficient responses to fluctuations in productivity and counter-cyclical policy is unnecessary. This notion violates the prior beliefs of a great number of economists. As a result, I think that many of these economists are therefore willing to dismiss RBC out of hand. Nonetheless, while I myself am not inclined to think that recessions are simply efficient responses to taste and technology changes, I do think that this starting point is useful as a thought exercise. Using an RBC model as a starting point to thinking about recessions forces one to think about the potential sources of inefficiencies, how to test the magnitude of such effects, and the appropriate policy response. The better we are able to disaggregate fluctuations in productivity, the more we should be able to learn about fluctuations in aggregate productivity and the more we might be able to learn about the driving forces of recessions.

Forthcoming Publications

Blogging has been a bit light around here. In lieu of a blog post, here are a few papers of mine have recently been accepted for publication that might be of interest to regular readers:

1. “Money, Liquidity, and the Structure of Production” (with Alexander Salter), Journal of Economic Dynamics and Control. This paper is a little bit of Hayek, Hirshleifer, Tobin, and Dixit all rolled into one. Here is the abstract:

We use a model in which media of exchange are essential to examine the role of liquidity and monetary policy on production and investment decisions in which time is an important element. Specifically, we consider the effects of monetary policy on the length of production time and entry and exit decisions for firms. We show that higher rates of inflation cause households to substitute away from money balances and increase the allocation of bonds in their portfolio thereby causing a decline in the real interest rate. The decline in the real interest rate causes the period of production to increase and the productivity thresholds for entry and exit to decline. This implies that when the real interest rate declines, prospective firms are more likely to enter the market and existing firms are more likely to stay in the market. Finally, we present reduced form empirical evidence consistent with the predictions of the model.

2. “An Evaluation of Friedman’s Monetary Instability Hypothesis“, Southern Economic Journal. This paper examines two elements of Milton Friedman’s work within the context of a relatively standard structural model. The first element is the idea that deviations between the money supply and money demand are a significant source of business cycle fluctuations. The second element is the idea that shocks to the money supply are much more empirically significant that shocks to money demand. Here is the abstract:

In this paper, I examine what I call Milton Friedman’s Monetary Instability Hypothesis. Drawing on Friedman’s work, I argue that there are two main components to this view. The first component is the idea that deviations between the public’s demand for money and the supply of money are an important source of economic fluctuations. The second component of this view is that these deviations are primarily caused by fluctuations in the supply of money rather than the demand for money. Each of these components can be tested independently. To do so, I estimate an otherwise standard New Keynesian model, amended to include a money demand function consistent with Friedman’s work and a money growth rule, for a period from 1875-1963. This structural model allows me to separately identify shocks to the money supply and shocks to money demand. I then use variance decompositions to assess the relative importance of shocks to the supply and demand for money. I find that shocks to the monetary base can account for up to 28% of the fluctuations in output whereas money demand shocks can account for less than 1% of such fluctuations. This provides support for Friedman’s view.

3. “Interest Rates and Investment Coordination Failures“, Review of Austrian Economics. This paper examines the role of interest rates in influencing both production time and entry decisions of firms. The paper therefore examines coordination problems similar to those emphasized in the Austrian business cycle theory and the business cycle theory of Fischer Black. I show that in low interest rate environments firms are more likely to preempt the entry of their competitors at lower levels of demand than when interest rates are high. When firms enter simultaneously at these levels of demand, it is a coordination failure. Low interest rates also produce changes in the length of production that are consistent with the ABCT. This provides some support for business cycle theories such as the ABCT, which have been criticized as violating the assumption of rational expectations.

The theory of capital developed by Bohm-Bawerk and Wicksell emphasized the roundabout nature of the production process. The basic insight is that production necessarily involves time. One element of the production process is to determine the period of production, or the length of time from the start of production to its completion. Bohm-Bawerk and Wicksell emphasized the role of the interest rate in determining the period of production. In this paper, I develop an option games model of the decision to invest. Two firms have an opportunity to enter a market, but production takes time. Firms face a two-dimensional decision. Along one dimension, they determine the period of production and the prospective profit therefrom. Along another dimension, they determine whether or not they want to enter the market given the amount of time it will take to start generating revenue from production. Within this option games approach, the period of production can be understood as an endogenous time-to-build and I argue that this framework provides a tool for evaluating the claims of Bohm-Bawerk and Wicksell against the backdrop of competition and uncertainty. I evaluate the period of production decision and the option to enter decision when the real interest rate changes. I show that investment coordination failures are more likely to occur at lower levels of profitability when real interest rates are low. I conclude by discussing the implications of low interest rates for boom-bust investment cycles.