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For release on delivery
1:30 p.m. EDT
March 22, 2007

Asset-Pricing Puzzles, Credit Risk and Credit Derivatives
Remarks by
Donald L. Kohn
Vice Chairman
Board of Governors of the Federal Reserve System
at the
Conference on Credit Risk and Credit Derivatives
Washington, D.C.
March 22, 2007

Good afternoon. I am pleased to participate in the Board’s conference on credit
risk and credit derivatives. Song Han, Matt Pritsker, and Hao Zhou have worked hard to
put together a stimulating program of cutting-edge research in this area.1 Your
conference focuses on improving our understanding of credit risk and credit derivatives,
but I will begin my talk by taking a step back and discussing a wider range of asset
markets, in which our understanding is also limited. Then I will examine how the
research in this conference can help sharpen our focus on this broader range of asset
markets.
At the Federal Reserve, we have considerable interest in credit risk and credit
derivatives. As these markets develop and become more complete, they facilitate risk
transfer and diversification, thereby increasing the resilience of our financial system.
With participants coming to rely more on these markets to manage risk, we have focused
increasingly on their liquidity and structure. We have worked closely with the private
sector to strengthen the clearing and settlement infrastructure and to understand how
these markets will function under stress.
But my emphasis today will be not the structure or mechanics of credit markets
but rather the information contained in the prices we observe in these markets. We at the
Federal Reserve use this information in nearly every area of our responsibility. For
example, in our roles as bank supervisors and protectors of financial stability, we monitor
the credit spreads of financial institutions as early warning signs of possible financial
stress. In our role as monetary policy makers, we analyze information from credit-risk
markets to get readings on the cost of capital to businesses and on forward-looking

1

Mike Gibson, Song Han, Matt Pritsker, and Hao Zhou, of the Board's staff, contributed to these remarks.

-2indicators of the health of the corporate sector that can have implications for future
macroeconomic developments.
Extracting Information from Asset Prices
As a consequence, the staff at the Federal Reserve puts considerable effort into
research on asset prices and into reporting the results of that research to policymakers.
One reason we do so is to try to understand the expectations that households, businesses,
and market participants have about the future. Expectations are critical to understanding
the economy and developments in the financial system. Of course, we look at a great
deal of data from the nonfinancial side of the economy, such as gross domestic product
(GDP) growth, the unemployment rate, and changes in the prices of goods and services.
These data certainly reflect expectations but not always in a transparent way. And, these
data take some time to compile and so are never available in real time.
Because financial asset prices embody expectations about the future, they also
contain forward-looking information about prospective developments, and many are
available continuously and instantaneously. We pay attention to an extensive range of
asset prices, including those of Treasury securities (both nominal and real), corporate
debt and equities, and derivatives. Although it is not easy, we use these asset prices to
tease out information about expectations that help us to interpret and predict the pace of
economic activity and prices.
The price of an asset reflects the future cash flows that investors expect to receive
from owning that asset. The price also reflects a risk premium, which is the excess
expected return over the risk-free rate that investors require for holding risky assets in
their portfolios. Each asset’s risk premium depends on the asset’s risk--as measured by

-3the possible variability of its cash flows from their expected level--and on investors' risk
aversion, which represents the extent of investors’ appetite for risk. And we try to
measure and understand the elements of the risk premium, in addition to the embedded
expectations.
In equity markets, corporate earnings are the future cash flows that affect equity
prices. Given the market’s outlook for corporate earnings--as embodied, for example, in
the predictions of market analysts--we make a crude estimate of the risk premium on
equities as the difference between the ratio of trend earnings to price and a real long-term
Treasury yield. On occasion, we go further and use structural economic models to
decompose the risk premium into components related to risk and to investors’ risk
appetite.
In the credit market, the relevant future cash flows are the coupons on corporate
debt, less an allowance for expected losses from future defaults. In one exercise, we
forecast future defaults with a simple regression model and estimate the credit-risk
premium as the difference between corporate yields and Treasury yields that is in excess
of what would be required to compensate investors for their estimates of expected credit
losses. We also estimate a term structure of credit-risk premiums by repeating this
analysis using debt that has different maturities. To judge what market prices of risk
might be telling us, we try to understand how the resulting credit-risk premiums relate to
other sources of information, such as the strength of business balance sheets, historical
levels of risk premiums, and premiums observed in related markets, like that for equities.
This approach helps us to assess the current attitudes and expectations of market

-4participants as well as possible future movements in risk premiums under alternative
scenarios.
We look to prices in Treasury markets and in markets for interest rate options and
futures to infer investors’ expected future path of monetary policy and their uncertainty
about that path. To do so, we need to model term premiums to tease out the links
between long-term interest rates and investors’ expectations of future short-term rates.
We also compare the Treasury yield curve with the prices on Treasury inflation-protected
securities to infer expected inflation, a key variable tracked by monetary policy makers.
Although we use a variety of techniques for extracting information from asset
prices, what we can learn has limits. First, asset prices are tough to work with. They
change rapidly and are subject to short-run technical factors--swings in prices that are not
related to fundamental and persistent shifts in supply and demand. Second, and perhaps
even more important, how asset prices embody risk and investors’ risk attitudes is
complicated and varies over time. We must use models to extract information on risk and
risk preferences from prices, and because all models are simplifications of reality, we
have to recognize that the results are only approximations of the underlying attitudes and
circumstances and thus are subject to error.
Asset-Pricing Puzzles
Researchers are well aware of the difficulties of decomposing an asset’s required
return into components that are related to expected future cash flows, risk aversion, and
risk. Moreover, risk preferences that should be related in a predictable way across
markets often do not appear to be so. For example, the risk preferences required to fit

-5consumption data from the goods market are inconsistent with the risk preferences
implied by prices in the equity market.
This problem is well known to most economists and to everyone in this room and
is known as the “equity-premium puzzle.” The equity premium is defined as the return
that an investor expects to earn on a broad equity index in excess of the return on a U.S.
Treasury security. Although theory suggests that the equity premium should be related to
investors’ risk preferences as well as the fundamental volatility of the corporate sector, it
is difficult to find plausible risk preferences that can rationalize the high level of the
historical equity premium. Also, we observe that required returns appear to vary over
time, but we do not understand all the reasons for the fluctuation. Both of these problems
complicate our interpretation of what implications, if any, movements in equity markets
have for the macroeconomy.
The equity-premium puzzle is not the only aspect of the behavior of financial
asset prices that is difficult to reconcile with economic theory or experience in related
markets. A second puzzle is the “credit-spread puzzle.” The spread between a corporate
bond and a similar-maturity Treasury bond compensates an investor for the risk that the
bond’s issuer will default and recoveries on the defaulted bond will be low. Credit-risk
spreads vary substantially over the cycle, and right now they are on the low side of
historical experience. However, over long periods, actual percentage losses on corporate
bonds have been well below historical averages of credit spreads at all maturities,
especially in the high-grade, short-maturity segment of the market. Again, it is difficult
to reconcile this observation with standard models of investor preferences. Other

-6explanatory factors, such as the different tax treatment of corporate and Treasury bonds,
appear to explain only part of the puzzle.
A third puzzle concerns the behavior of financial market volatility. Volatility and
measures of expected volatility derived from options prices vary over time but not in
ways that are easy to link to economic fundamentals or to the variation of expected
returns in asset markets. Moreover, the relationship between financial market volatility
and the volatility of macroeconomic variables such as GDP is not well understood.
A fourth puzzle related to the pricing of risk concerns the term premium, which is
the additional compensation that investors require to hold longer-term securities. We
estimate from the Treasury market that the term premium has declined substantially in
recent years to unusually low levels, which has contributed to the inversion of the yield
curve. But we do not understand why, and consequently we do not know to what extent
we are seeing a permanent decline in the term premium--perhaps due to a general
reduction in the volatility of economic activity and inflation over the past twenty-five
years. Or we may be seeing a temporary decline due to the influence of recent
macroeconomic conditions or special factors affecting the demand for long-term bonds.
In addition to these well-known puzzles, are also a large number of puzzles across
all asset markets that I will group under the common theme of risk harmonization. Riskharmonization puzzles concern whether a given risk is priced the same way in all markets
in which that risk is traded. In the absence of transaction costs, broadly defined, the law
of one price should hold--there should be no risk-free arbitrage--and all risks should be
priced the same way in all markets.

-7In fact, risk harmonization is limited because transaction costs, viewed in a broad
way, are quite material in many markets. A broad notion of transaction costs includes not
only the direct fees paid when transacting and trading but also the full set of risks that are
involved when arbitraging among markets. These include various types of basis risk,
which is the risk that long and short positions exposed to the same risk in different
markets might not offset each other. Another important risk is model risk, which is the
risk of misjudging an apparent price anomaly when trading owing to not having the
correct model. Some of the conference papers focus on markets in which risk
harmonization appears to be incomplete.
How the Common Lens of Credit Risk Improves Our Understanding
Papers in this conference contribute to our overall understanding of how credit
risk, as well as other risks such as those associated with volatility and liquidity, are priced
in financial markets. One of the contributions of the conference is that it views many of
the asset-pricing puzzles through the common lens of credit risk. This approach holds the
hope of addressing the various puzzles in an internally consistent way that helps us to
understand how the puzzles may be related.
One strand of the literature on the equity-premium puzzle attempts to explain the
puzzle with a somewhat controversial refinement of standard risk preferences. The first
paper in the conference examines the plausibility of these preferences by analyzing
whether they can also explain the average pattern of credit spreads in the bond market.
The results are mixed. Part of the credit-spread puzzle is explained, lending some
credence to these preferences, and suggesting the two puzzles are related, but a part
remains unexplained. And the paper identifies better modeling of the situation in which

-8firms are forced into default as one research direction that may help to explain the
remaining part of the credit-spread puzzle. This research direction is pursued in a
separate paper in the conference.
A second paper at the conference also studies the relationship between equity
prices and credit risk but does so from a different perspective by asking whether credit
risk is appropriately priced in the stock markets. To address this question, it focuses on
companies that are heavily exposed to systematic risk of financial distress--that is, they
are relatively likely to experience financial distress during future downturns--and then
studies whether the stocks earn a positive premium for this risk. The main finding is that
investors in those companies do not earn a premium for distress risk in the stock market.
This result suggests a possible failure of risk harmonization in the stock market, which in
turn raises the deeper question of identifying why this failure in risk harmonization is not
arbitraged away.
In short, papers in the conference deepen our knowledge of some of the assetpricing puzzles, but they also highlight new aspects of the puzzles that remain to be
explained.
How Credit Derivatives Markets Can Improve Our Understanding
This leads to my last topic, which is how credit derivatives markets provide new
ways for us to uncover market perceptions of risk. Like all derivatives (such as options
and swaps), credit derivatives allow for credit risk to be unbundled and traded
independently from other types of risk, which makes it easier to price and measure the
different types of risk. Here I will focus on two examples.

-9The first involves our ability to infer the market's perception of default risk. In
the bad old days, about ten years ago, the best way to infer credit risk was from the prices
of corporate bonds, but bond prices are contaminated by differences in coupons, taxes,
option-like features, bond covenants, and the illiquidity of the corporate bond market
itself. All of these features meant that the modeling error involved in the process resulted
in credit-risk measures that were noisy and potentially biased.
Now, instead of looking to the bond market to measure default risk, we are
increasingly turning to the market for credit default swaps, or CDS. CDS are more
standardized than corporate bonds, and, over time, they have also become more liquid.
They therefore provide us with new, and in many cases more precise, measures of credit
risk. These measures in turn can sharpen our measures of the pricing puzzles. In
addition, because the CDS market helps us to strip out the credit-risk component from
bond prices, that market also gives us a clearer picture of how important non-credit-risk
components of bond prices, such as liquidity, are priced.
The second example involves the pricing of default correlation. Default
correlation measures the tendency of firms to default at the same time. Suppose a bank
makes a set of loans that appear to be safe when looked at individually. Whether the
loans are likely to default at nearly the same time can represent the difference between
whether the bank remains healthy or has the potential to become insolvent. For this
reason, the modeling of default correlations, and how correlations change with economic
conditions, is one of the most important inputs into measures of portfolio credit risk at
banks. Default correlations and how they are modeled are also important to bank
regulators and are heavily emphasized within the Basel II capital standards.

- 10 Collateralized debt obligations, or CDOs, are one of a number of financial
instruments whose prices are sensitive to the pattern of default correlations. As a result,
the prices of these instruments provide us with a forward-looking picture of the market’s
perception of default correlations and an indication of how the risks of changes in
correlation are priced. Of course, as some of the papers in the conference demonstrate,
the pricing of correlation-sensitive instruments is, putting it generously, somewhat less
than straightforward. For that reason, there is substantial model risk involved in making
inferences from these prices. Nevertheless, the prices of these instruments provide a
blurry view of default correlations that I expect will improve through time as credit
derivatives markets continue to grow and mature.
Credit derivatives, like all derivatives, are in zero net supply, and, abstracting
from the very important issue of counterparty credit risk, they neither add to nor subtract
from the stock of financial risk in the economy. They do, however, provide new and
more-efficient ways for sharing and hedging the risks that do exist, and they facilitate the
transfer of those risks to those who are most willing to evaluate and bear them.
As a consequence, as the credit derivatives market continues to develop and
deepen, my guess, and it is just a guess, is that cleaner measures of credit risk will, all
else being equal, reduce the costs of arbitraging between markets and will improve the
harmonization of risk across markets--one of the asset-pricing puzzles I highlighted.
Two of the other puzzles I described earlier are the credit-spread and equitypremium puzzles. At least a part of these puzzles may be due to imperfect risk sharing
among active market participants. If this is indeed part of the puzzle, then financial
innovations such as credit derivatives may, again, all else being equal, reduce long-run

- 11 average risk premiums in both the equity and credit markets, over time, by facilitating
risk sharing among currently active market participants, provided that participants
adequately understand and manage the risk of these products. That said, time will tell
whether my speculations on this point are correct.
Conclusion
My message to you today has been that the Federal Reserve places a lot of
emphasis on understanding financial asset prices to help it meet its public policy
objectives. But in doing so, we are handicapped by the extent to which we do not
understand important aspects of how financial assets are priced. Your work as
researchers in this field--a portion of which is show-cased at this conference--has been
helpful in beginning to explain some of the puzzles, and more recent techniques and ideas
together with the data series being generated in new markets hold the promise of more
progress in the future.
So, I will not keep you from your work any longer. Your contributions are
important to the nation’s central bank. Please, go solve some puzzles.