Expected Returns,Time-varying Risk,and Risk Premia

A new empirical model for intertemporal capital asset pricing is presented that allows both time-varying risk premia and betas where the latter are identified from the dynamics of the conditional covariance of returns. The model is more successful in explaining the predictable variations in excess returns when the returns on the stock market and corporate bonds are included as risk factors than when the stock market is the single factor. Although changes in the covariance of returns induce variations in the betas, most of the predictable movements in returns are attributed to changes in the risk premia.     

Risk Premia and Variance Bounds

If a pricing kernel assigns a premium to a risk variable that differs from the one assigned by the minimum-variance admissible kernel, then the pricing kernel must exhibit more variability than the minimum-variance kernel. Based on this intuition, we derive a variance bound that is more stringent than that of Hansen and Jagannathan (1991) . When we apply our bound to the kernel of a representative consumer with power utility, we find that the consumption risk premium increases the severity of the “equity-premium puzzle” of Mehra and Prescott (1985) .     

On Intraday Risk Premia

This article presents a framework for analyzing the dynamic effects of anticipated large demand pressures on asset risk premia. We show that large institutions who can time their entry into the market will trade either at the open, or during periods of unusual demand pressures. We show that if these institutions do enter later in the day, they trade in the same direction as institutions which provide liquidity continuously; institutions therefore appear to exhibit “herding” behavior. We also explore how changing the uncertainty of demand pressures late in the day affects trading costs throughout the day.     

Real Rates, Expected Inflation, and Inflation Risk Premia

This paper studies the term structure of real rates, expected inflation, and inflation risk premia. The analysis is based on new estimates of the real term structure derived from the prices of index-linked and nominal debt in the U.K. I find strong evidence to reject both the Fisher Hypothesis and versions of the Expectations Hypothesis for real rates. The estimates also imply the presence of time-varying inflation risk premia throughout the term structure.     

Implied Foreign Exchange Risk Premia

This paper uses implied volatilities from foreign exchange option prices and the results of no‐arbitrage theory to estimate foreign exchange risk premia. In particular, under the assumption of no‐arbitrage, the foreign exchange risk premium is driven by the difference between investors’ market prices of risk in the two currencies. In an international economy with three currencies, sterling, US dollar and Deutschemark, we can use the information on implied volatilities of the three cross rates to derive estimates of implied or ex ante market prices of risk and of foreign exchange risk premia. The foreign exchange risk premia estimates are then compared to survey‐based risk premia.     

Heterogeneous Beliefs, the Term Structure and Time-varying Risk Premia

This paper demonstrates theoretically and empirically that one possible economic explanation of the dynamics of the term structure of interest rates is the time-varying heterogeneous beliefs about future economic conditions. Assuming that each agent forms heterogeneous expectations about both his income shock and others’ beliefs about their income shocks each period, the paper illustrates that heterogeneous beliefs generate time-varying risk premia of the term structure in a closed-form solution. Motivated by this theory, several empirical tests are conducted using the cross-sectional mean and dispersion of belief indices that are extracted as the differences between non-judgemental econometric forecasts based on diffusion indices in Stock and Watson (J Bus Econ Stat, 2002) and professional survey forecasts. It is shown that (a) an increase in the mean belief about inflation steepens the yield curve, (b) the mean and dispersion of interest rate beliefs help explain the mean and the stochastic volatility of the term structure, suggesting that time-varying risk premia may be explained by endogenous uncertainty caused by heterogeneous beliefs in the economy.I am indebted to Mordecai Kurz, Timothy Cogley and Narayana Kocherlakota for constant support and extensive discussions that inspired this work. I would like to thank Randall Moore for providing the Blue Chip financial forecast data. The financial support from the Smith Richardson Foundation to the Stanford Institute for Economic Policy Research is gratefully acknowledged.     

Trade Network Centrality and Currency Risk Premia

I uncover an economic source of exposure to global risk that drives international asset prices. Countries that are more central in the global trade network have lower interest rates and currency risk premia. To explain these findings, I present a general equilibrium model in which central countries' consumption growth is more exposed to global consumption growth shocks. This causes the currencies of central countries to appreciate in bad times, resulting in lower interest rates and currency risk premia. Empirically, central countries' consumption growth covaries more with world consumption growth, further validating the proposed mechanism.     

Bond Risk Premia and The Exchange Rate

In emerging market economies, currency appreciation goes hand in hand with compressed sovereign bond spreads, even for local currency sovereign bonds. This yield compression comes from a reduction in the credit risk premium. Crucially, the relevant exchange rate involved in yield compression is the bilateral U.S. dollar exchange rate, not the trade-weighted exchange rate. Our findings highlight endogenous co-movement of bond risk premia and exchange rates through the portfolio choice of global investors who evaluate returns in dollar terms.     

Risk Premia in Foreign Currency Futures

This paper tests the uncorrelatedness of increments of daily foreign currency futures prices and derives implications for risk premia based on a heteroscedasticity-robust variance ratio test. There is evidence suggesting the existence of a time-varying risk premia. Moreover, the results suggest that currency futures price is not an unbiased predictor of currency spot price on corresponding maturity date of currency futures contract. The paper also applies a heteroscedasticity-adjusted Box-Pierce Q test to the same data set for comparison.     

Macrofactor Conditional Volatilities, Time-Varying Risk Premia and Stock Return Behavior

An Arbitrage Pricing Model is estimated in which the risk premia vary in proportion to the conditional volatilities of the macroeconomic innovations which follow an autoregressive specification. The conditional volatilities of the macroeconomic innovations exhibit strong timevariation from month to month. For size-ranked portfolios of all the shares traded on the Toronto Stock Exchange over the period from March 1962 through March 1988, five macrofactors (namely, the lag of industrial production, the Canadian index of 10 leading indicators, the U.S. composite index of 12 leading indicators, the exchange rate and the residual market factor) have time-varying and priced risk premia. The small-firm effect is absent in the risk-adjusted returns, and a significant portion of the observed January seasonality is explained by the model with time-varying risk premia.     

A Model of Monetary Policy and Risk Premia

We develop a dynamic asset pricing model in which monetary policy affects the risk premium component of the cost of capital. Risk‐tolerant agents (banks) borrow from risk‐averse agents (i.e., take deposits) to fund levered investments. Leverage exposes banks to funding risk, which they insure by holding liquidity buffers. By changing the nominal rate the central bank influences the liquidity premium, and hence the cost of taking leverage. Lower nominal rates make liquidity cheaper and raise leverage, resulting in lower risk premia and higher asset prices, volatility, investment, and growth. We analyze forward guidance, a “Greenspan put,” and the yield curve.     

Fiscal and Monetary Policy Coordination,Macroeconomic Stability,and Sovereign Risk Premia

In standard macroeconomic models, equilibrium stability and uniqueness require monetary policy to actively target inflation and fiscal policy to ensure long‐run debt sustainability. We show analytically that these requirements change, and depend on the cyclicality of fiscal policy, when government debt is risky. In that case, budget deficits raise interest rates and crowd out consumption. Consequently, countercyclical fiscal policies reduce the parameter space supporting stable and unique equilibria and are feasible only if complemented with more aggressive debt consolidation and/or active monetary policy. Stability is more easily achieved, however, under procyclical fiscal policies.     

Housing Collateral, Consumption Insurance, and Risk Premia: An Empirical Perspective

In a model with housing collateral, the ratio of housing wealth to human wealth shifts the conditional distribution of asset prices and consumption growth. A decrease in house prices reduces the collateral value of housing, increases household exposure to idiosyncratic risk, and increases the conditional market price of risk. Using aggregate data for the United States, we find that a decrease in the ratio of housing wealth to human wealth predicts higher returns on stocks. Conditional on this ratio, the covariance of returns with aggregate risk factors explains 80% of the cross‐sectional variation in annual size and book‐to‐market portfolio returns.     

The Banking View of Bond Risk Premia

Banks' balance sheet exposure to fluctuations in interest rates strongly forecasts excess Treasury bond returns. This result is consistent with optimal risk management, a banking counterpart to the household Euler equation. In equilibrium, the bond risk premium compensates banks for bearing fluctuations in interest rates. When banks' exposure to interest rate risk increases, the price of this risk simultaneously rises. We present a collection of empirical observations that support this view, but also discuss several challenges to this interpretation.     

An Anatomy of Commodity Futures Risk Premia

We identify two types of risk premia in commodity futures returns: spot premia related to the risk in the underlying commodity, and term premia related to changes in the basis. Sorting on forecasting variables such as the futures basis, return momentum, volatility, inflation, hedging pressure, and liquidity results in sizable spot premia between 5% and 14% per annum and term premia between 1% and 3% per annum. We show that a single factor, the high‐minus‐low portfolio from basis sorts, explains the cross‐section of spot premia. Two additional basis factors are needed to explain the term premia.     

Model Specification and Risk Premia: Evidence from Futures Options

This paper examines model specification issues and estimates diffusive and jump risk premia using S&P futures option prices from 1987 to 2003. We first develop a time series test to detect the presence of jumps in volatility, and find strong evidence in support of their presence. Next, using the cross section of option prices, we find strong evidence for jumps in prices and modest evidence for jumps in volatility based on model fit. The evidence points toward economically and statistically significant jump risk premia, which are important for understanding option returns.     

Risk Premia in Foreign Currency Futures: A Reexamination

This paper reexamines the significant autocorrelation results of foreign currency futures reported by Liu and He [12] in this journal. It argues that extremely thin trading early in the life of individual futures contracts induces unreliable results in [12]. Moreover, the Monte Carlo results clarify the power performance between Lo and MacKinlay's [13] variance ratio tests and Diebold's [3] Q-statistics; both tests are used by Liu and He.     

Predictability of Emerging Market Local Currency Bond Risk Premia

This article investigates the source of predictability of emerging market (EM) local currency bond risk premia by using a dynamic factor approach based on a large panel of economic and financial time series. We find strong predictable variation in EM local currency excess bond returns that is associated with macroeconomic activity. We provide evidence that the main predictor variables are the factors based on real economic activity that are highly correlated with measures of industrial and manufacturing production; however, factors based on global financial factors also contain information about the future local currency bond returns. The predictive power of the extracted factors is both statistically significant and economically important. Our research has important implications for policymakers and pension fund managers.     

Interpreting Implied Risk-Neutral Densities: The Role of Risk Premia

This paper examines differences between risk-neutral and objective probability densities of future interest rates. The identification and quantification of these differences are important when risk-neutral densities (RNDs), such as option-implied RNDs, are used as indicators of actual beliefs of investors. We employ a multi-factor essentially affine modeling framework applied to German time-series and cross-section term structure data in order to identify both the risk-neutral and the objective term structure dynamics. We find important differences between risk-neutral and objective distributions due to risk premia in bond prices. Moreover, the estimated premia vary over time in a quantitatively significant way, which implies that the differences between the objective and the risk-neutral distributions also vary over time. We therefore conclude that one should be cautious in interpreting RNDs in terms of expectations. The method used in this paper provides an alternative approach to identifying objective probabilities of future interest rates.