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FRBSF ECONOMIC LeTTer
2010-24

August 9, 2010

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Future Recession Risks
Travis J. Berge and Òscar Jordà
An unstable economic environment has rekindled talk of a double-dip recession. The Conference Board’s Leading Economic
Index provides data for predicting the probability of a recession but is limited by the weight assigned to its indicators and
the varying efficacy of those indicators over different time horizons. Statistical experiments with LEI data can mitigate
these limitations and suggest that a recessionary relapse is a significant possibility sometime in the next two years.

By now, there is little disagreement that the Great Recession, as the last recession is often called, ended
sometime in the summer of 2009 (see Jordà 2010), even though the National Bureau of Economic
Research (NBER) has yet to formally announce the date of the trough in economic activity that marks
the beginning of the current expansion phase. Intriguingly, just as we seemed to be leaving the
recession behind, talk of a double dip became increasingly loud. This recession talk is not confined to
the United States. It has crossed the Atlantic to Europe, where the recovery has been even slower,
especially among countries on the periphery of the euro area. A quick look at the number of Google
searches and news items for the term “double-dip recession” reveals no activity prior to August 29,
2009, but a dramatic increase in search volume since then, especially in the past two months. Such
concern is likely motivated by a string of poor economic news. The spring of 2010 saw considerable
declines in U.S. stock market indexes, the contagion of the Greek fiscal crisis across much of southern
Europe, and a stagnant U.S. labor market stuck near a 10% unemployment rate. It is understandable
that the NBER has hesitated to call the end of the recession.
This spate of bad news has prompted a heated policy debate pitting those eager to mop up the gush of
public debt generated by the recession and the fiscal stimulus package designed to counter it against
those who would prefer to douse the glowing recession embers with another round of stimulus.
Domestic and international commentators have engaged in a lively debate on this subject in the press
and blogosphere. The New York Times, Washington Post, Wall Street Journal, Financial Times, and
Economist have all featured one or more stories about a possible recessionary relapse in the past few
months alone. In this Economic Letter, we calculate the likelihood that the economy will fall back into
recession during the next two years.
The Leading Economic Index

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The Leading Economic Index (LEI) prepared by the Conference Board (www.conferenceboard.org/data/bci.cfm ) every month is an indicator of future economic activity designed to signal
peaks and troughs in the business cycle. It comprises ten variables that can be loosely grouped into
measures of labor market conditions (initial claims for unemployment insurance and average weekly
hours worked in manufacturing); asset prices (the monetary aggregate M2, the S&P 500 stock market
index, and the interest rate spread between 10-year Treasury bonds and the federal funds rate);
production (new orders of consumer and capital goods, new housing units, and vendor performance);
and consumer confidence.
Figure 1 displays year-on-year LEI growth
rates against recession periods
determined by the NBER, showing the
strong correlation between the two. But,
in a recent paper, Berge and Jordà (2010)
find that the LEI is no better than a coin
toss at predicting turning points beyond
10 months into the future, with most of its
success concentrated in the current
month. Other popular indexes of economic
activity, such as the Chicago Fed National
Activity Index and the Philadelphia Fed’s
Aruoba-Diebold-Scotti Business Conditions
Index, turn out to have even less
predictive power than the LEI.

Figure 1
The Leading Economic Index (LEI)

At least two reasons explain why the LEI’s
predictive efficacy is limited. The first is
that the index is a one-size-fits-all
Note: Gray bands denote NBER recessions.
weighted average of indicators. By this we
mean that weights are designed to distill
the information contained in 10 variables
into a single variable, rather than by selecting weights that would produce the most accurate turningpoint predictions. Second, we find that no single combination of indicators is likely to predict well at
every time horizon. The predictive ability of each LEI component varies wildly depending on the forecast
horizon. For example, the spread between 10-year Treasury bond and the federal funds rate works best
18 months into the future, whereas the initial claims for unemployment insurance indicator works best
two months ahead. Clearly, one should give more weight to the rate-spread indicator than the initial
claims indicator when forecasting in the long run, but less weight when forecasting in the short run.
A better forecasting approach
We are interested in predicting a binary outcome: Will the economy be expanding or contracting at a
particular future date, given what we know today? One way to summarize the likelihood of each of these
outcomes is by taking the ratio of the probability of each. This “odds-ratio,” as it is called in statistics, is
equal to one when both outcomes are equally probable, less than one when a recession is more likely
than an expansion, and more than one when expansion is more likely than recession. In the context of
this either-or condition, the statistical relationship between the odds-ratio and the LEI variables is used
to characterize the probability of recession. As an illustration, we use this procedure to predict the
probability of recession from 1960 to 2010 using contemporaneous LEI data. These are compared with
the NBER recession periods displayed as shaded gray areas in Figure 2.
The similarity between the predicted

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recession dates in this exercise and the
actual NBER recession dates is quite
striking, but perhaps not entirely
surprising. Consider the following rule of
thumb: call a recession whenever the
predicted probability of recession is above
0.5; otherwise call an expansion. Such a
rule would achieve a nearly perfect match
with the NBER’s delineation of expansions
and recessions, with some slight
discrepancy in the mid-1960s. A 0.5 cutoff
is equivalent to saying that the odds of a
recession are the same as the odds of an
expansion or that the odds-ratio is 1.

Figure 2
Probability of a recession using the LEI in real time

The odds-ratio and LEI indicator
combination addresses the first of the two
issues we identified when making turningpoint predictions with the LEI, namely the
problem of determining appropriate
weights for each indicator. The solution to
the second issue, the differential predictive power of the indicators at different time horizons, is rather
simple. It consists of finding the best combinations of indicators associated with the odds-ratio between
expansion/recession outcomes at increasingly distant future dates. Finding the best combination at each
month over the next two years generates 24 different combinations of LEI components. Figure 3 uses
this approach with data up to June 2010 to display the probability of recession for each month starting
in June 2010 and ending in June 2012. The horizontal line at 0.5 coincides with the value at which the
odds of an expansion and the odds of a recession are even, making it a natural cutoff for the probability
of a binary outcome.
Figure 3 displays the predicted probability
of recession obtained using these
Figure 3
procedures for three experiments. The
Probability of a recession over the next two years
first experiment is the benchmark case
and uses all ten components of the LEI. It
is represented by a thin blue line in the
figure and shows that the likelihood of a
recession is essentially zero over the next
10 months but that the odds deteriorate
considerably over the following year.
However, even at its worst, the probability
of recession is never above 0.3, so that
expansion is more than twice as likely as
recession. Paul Samuelson once quipped
that, “It is true that the stock market can
predict the business cycle. The stock
market has called nine of the last five
recessions.” Therefore we investigate
whether our results are driven by the
recent declines in the S&P 500 index.
However, repeating the previous
forecasting exercise while excluding the S&P 500 variable generates essentially the same picture,

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Federal Reserve Bank San Francisco | Future Recession Risks |

displayed by the dashed line in Figure 3.
The last experiment drops the spread between the Treasury bond and the federal funds rate from the 10
LEI indicators. Historically, this spread, which summarizes the slope of the interest rate term structure,
has been a very good predictor of turning points 12 to 18 months into the future. Specifically, an
inverted yield curve has preceded each of the last seven recessions. However, the term structure may
not presently be an accurate signal. Monetary policy has been operating near the zero lower bound to
provide maximum monetary stimulus. In addition, the Greek fiscal crisis has generated a considerable
flight to quality that has pushed down yields on U.S. Treasury securities. Indeed, the thick red line in
Figure 3 shows that omitting the rate-spread indicator generates far more pessimistic forecasts. For the
period 18 to 24 months in the future, the probability of recession goes above 0.5, putting the odds of
recession slightly above the odds of expansion.
Conclusion
Any forecast 24 months into the future is very uncertain. At two years out, the odds of recession vary
from almost three times more likely than expansion, to expansion being almost five times more likely
than recession, depending on which LEI components are used. Nevertheless, LEI forecast trends indicate
that the macroeconomic outlook is likely to deteriorate progressively starting sometime next summer,
even if the data suggest that a renewed recession is unlikely over the next several months. Of course,
economic policy can strongly influence the outcome. The policies that are adopted today could play a
decisive role in shaping the pace of growth.
Travis J. Berge is a graduate student at the University of California, Davis.
Òscar Jordà is a professor at the University of California, Davis, and a visiting scholar at the Federal
Reserve Bank of San Francisco.
References
Berge, Travis J., and Oscar Jorda. 2010. “Evaluating the Classification of Economic Activity into
Expansions and Recessions.” American Economic Journal: Macroeconomics, forthcoming.
Òscar Jordà. 2010. “Diagnosing Recessions.” FRBSF Economic Letter 2010-05 (February 16).
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Opinions expressed in FRBSF Economic Letter
do not necessarily reflect the views of the
management of the Federal Reserve Bank of
San Francisco or of the Board of Governors of
the Federal Reserve System. This publication is
edited by Sam Zuckerman and Anita Todd.
Permission to reprint must be obtained in
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