Mastodon Cancel Infinity: Federal Reserve
Showing posts with label Federal Reserve. Show all posts
Showing posts with label Federal Reserve. Show all posts

Wednesday, August 20, 2014

Farmer’s Folly: The Sequel

The post below is part of an exchange with Roger Farmer with origins which predate the start of this blog. The ultimate question is should (or even can) the government control asset markets for purposes of managing the rate of inflation. I believe Farmer’s call for such interventions is misguided.

More specifically, Farmer declares that the fall in the stock market in 2008 “caused” the Great Recession. What he seems to mean is that current movements in stock prices can be shown to help predict future movements in unemployment. Unfortunately, there is evidence that the relationship has broken down in recent years. Indeed, Farmer dismisses my concern that his initial model produces poor forecasts by making this very point. Furthermore, it is difficult to distinguish between stock prices as forward-looking, as opposed to forward-causing. Thus, even if the actual association today may be discerned, it is not clear that if, say, the Federal Reserve bought up stocks to keep prices high that such action would actually lead to much reduction in unemployment.



In a new working paper (PDF) UCLA’s Roger Farmer responds to last year’s investigation into his claim that declines in the stock market caused the Great Recession.(PDF) Farmer apparently failed to grasp the nature of the critique.

In his original paper, Farmer claimed to have found a stable relationship between the movements in S&P 500 and unemployment rates, and that the data “leads me to stress asset market intervention as a potential policy resolution to the problem of high and persistent unemployment.” In other words, the government should deliberately prop up the stock market as a way of boosting the economy. Farmer appealed to the apparent forecasting power of his model to support his policy preference.

In response we countered that his visual evidence of forecasting power was deceptive– playing off the serial correlation in the data to trick the naïve observer. Rather, his model was not in fact powerful, as was demonstrated by the fact that a simpler model that ignored stock prices produced superior forecasts. Our analysis showed that even if Farmer’s model was correct, movements in the stock market fail to explain– let alone cause– the Great Recession. Finally, we pointed out that the intervention necessary to prevent the recession was implausibly large to be considered serious.

Farmer now:
  • Asserts as fact certain properties of his data shown to be consistent with, but unsupported by his analysis.
  • Argues that the asserted properties require the use of a particular type of model.
  • Suggests that despite using the proper kind of model, his model was “seriously mispecified” by failing to account for a structural break.
  • Reasserts that despite this structural break the observed relationship is somehow “structurally stable.”
  • Abandons the “correct way to model” and employs pre-break data in an effort to support the uncontroversial position that stock market data may help forecast unemployment.

We agree that his model may have failed due to structural breaks. In fact, post-2008 data may be completely different in structure than data prior, and therefore any model based on previous data is liable to produce forecasts only spuriously related to the post-2008 economy. In any case, we believe this undermines both his assertion that stock prices caused the Great Recession and his proposed policy solution.

Friday, March 7, 2014

Is It Really Time for the Fed to Worry About Inflation?

Ylan Mui at The Washington Post’s Wonkblog had a piece Thursday titled “This is why the Fed should start worrying about inflation again.” The main bit of evidence is a graph attributed to Kevin Logan showing a negative relationship between the unemployment rate and increasing rates of inflation. But this graph actually says far less than Mui says.

Indeed there is a relationship between unemployment and inflation. The Federal Reserve is tasked with balancing inflation and unemployment, and when the Fed fears inflation, it raises interest rates with the intent of slowing the economy and creating unemployment. To some extent, then, the relationship is the Fed’s doing.

Let us put that aside, however, and take the observed relationship at face value. First, it is far from obvious that 6.5 percent unemployment represents a threshold below which inflation is as likely to rise as fall– particularly given the small sample size. In Figure 1, I was unable to reproduce exactly Logan’s figure, but according to data available at the Fed, four of the five years with the highest unemployment rates under 6.5 percent are associated with decreasing inflation.

Figure 1: Unemployment and Changes in Inflation
Source: FRED, series JCXFE and UNRATE and author’s calculations

Rather than cherry picking, we may regress changes in inflation against the unemployment rate. As it turns out, the relationship is statistically weak. The expected change in inflation switches between positive and negative somewhere between 2.5 and 7 percent. Likewise, this suggests that the 50/50 point lies closer to 5 percent than 6.5.

Table 1: Regression results
(1) (2) (3)
$\beta_0$ constant 0.52 (0.37) 0.52 (0.43) 0.52 (0.39)
$\beta_1$ unemployment rate -0.11 (0.06)# -0.11 (0.07) -0.11 (0.06)#
variance/covariance estimator OLS jackknife bootstrap
$-\beta_0/\beta_1$ 2.6-7.1 2.9-6.8 3.0-6.7
Standard errors in parenthesis
# Significant at 10% level
Source: FRED, series JCXFE and UNRATE and author’s calculations

In Figure 2, we see the probability that inflation will be higher in 2014 than it was in 2013– assuming various year-round average unemployment rates for 2014. At 6.5 percent unemployment, the probability is closer to one in three than one in two.

Figure 2: Probability of Increased Inflation in 2014
Note: The widest (lightest) confidence band covers 95 percent of outcomes and the most narrow (darkest) band covers 50 percent.
Source: FRED, series JCXFE and UNRATE and author’s calculations

More importantly, increasing inflation is the wrong consideration. The Fed has tolerated inflation below 2.0 percent ever since 2007, and in 2013 core inflation ran only 1.2 percent. If the Fed must target some rate of inflation, it should target a higher rate of inflation. Yet, even if the relationship is meaningful then there is less than a 5 percent chance that 2014 inflation will run even as high as 2.0 percent.

Figure 3: Probability of At Least 2% Inflation in 2014
Note: The widest (lightest) confidence band covers 95 percent of outcomes and the most narrow (darkest) band covers 50 percent.
Source: FRED, series JCXFE and UNRATE and author’s calculations

To the extent that the relationship is both meaningful and a result of Fed activity, then, this suggests that meeting a 2% inflation target would require the Fed to be less hawkish than would be normal for the rate of unemployment. It may yet be some time before the Fed raises interest rates.

(This post originally appeared on the CEPR blog.)