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Expected idiosyncratic volatility

Journal of Financial Economics 2025 167, 104023
We use close to 80 million daily returns for more than 19,000 CRSP listed firms to establish the best forecasting model for realized idiosyncratic variances. Comparing forecasts from multiple models, we find that the popular martingale model performs worst. Using the root-mean-squared-error (RMSE) to judge model performance, ARMA(1,1) models perform the best for about 46% of the firms in out-of-sample tests. The ARMA(1,1) model delivers an average RMSE that is statistically significantly lower than all alternative models, and also performs well when not the very best. Its forecasts reverse large, unexpected shocks to realized variances. When using this model to revisit the relation between idiosyncratic risk and returns (the IVOL puzzle), we fail to find a significant relation. The IVOL puzzle is closely connected to a very small set of observations where the martingale forecast over-predicts the future realized variance. These extreme observations are correlated with well-known firm characteristics associated with the IVOL puzzle such as poor liquidity as measured by high bid-ask spreads and the “MAX” effect.

Why stocks may disappoint

Journal of Financial Economics 2005 76(3), 471-508 open access
We provide a formal treatment of both static and dynamic portfolio choice using the Disappointment Aversion preferences of Gul (1991. Econometrica 59(3), 667–686), which imply asymmetric aversion to gains versus losses. Our dynamic formulation nests the standard CRRA asset allocation problem as a special case. Using realistic data generating processes, we find reasonable equity portfolio allocations for disappointment averse investors with utility functions exhibiting low curvature. Moderate variation in parameters can robustly generate substantial cross-sectional variation in portfolio holdings, including optimal non-participation in the stock market.

International Stock Return Comovements

Journal of Finance 2009 64(6), 2591-2626 open access
ABSTRACT We examine international stock return comovements using country‐industry and country‐style portfolios as the base portfolios. We first establish that parsimonious risk‐based factor models capture the data covariance structure better than the popular Heston–Rouwenhorst (1994) model. We then establish the following stylized facts regarding stock return comovements. First, there is no evidence for an upward trend in return correlations, except for the European stock markets. Second, the increasing importance of industry factors relative to country factors was a short‐lived phenomenon. Third, large growth stocks are more correlated across countries than are small value stocks, and the difference has increased over time.

Liquidity and Expected Returns: Lessons from Emerging Markets

Review of Financial Studies 2007 20(6), 1783-1831 open access
Given the cross-sectional and temporal variation in their liquidity, emerging equity markets provide an ideal setting to examine the impact of liquidity on expected returns. Our main liquidity measure is a transformation of the proportion of zero daily firm returns, averaged over the month. We find that it significantly predicts future returns, whereas alternative measures such as turnover do not. Consistent with liquidity being a priced factor, unexpected liquidity shocks are positively correlated with contemporaneous return shocks and negatively correlated with shocks to the dividend yield. We consider a simple asset-pricing model with liquidity and the market portfolio as risk factors and transaction costs that are proportional to liquidity. The model differentiates between integrated and segmented countries and time periods. Our results suggest that local market liquidity is an important driver of expected returns in emerging markets, and that the liberalization process has not fully eliminated its impact.

Political risk and international valuation

Journal of Corporate Finance 2016 37, 1-23
Measuring the impact of political risk on investment projects is one of the most vexing issues in international business. One popular approach is to assume that the sovereign yield spread captures political risk and to augment the project discount rate by this spread. We show that this approach is flawed. While the sovereign spread is influenced by political risk, it also reflects other risks that are likely included in the valuation analysis — leading to the double counting of risks. We propose to use “political risk spreads” to undo the double counting in the evaluation of international investment projects.

The European Union, the Euro, and equity market integration

Journal of Financial Economics 2013 109(3), 583-603
We use industry valuation differentials across European countries to study the impact of membership in the European Union as well as the Eurozone on both economic and financial integration. In integrated markets, discount rates and expected growth opportunities should be similar within one industry, irrespective of the country, implying narrowing valuation differentials as countries become more integrated. Our analysis of the 1990–2007 period shows that membership in the EU significantly lowered discount rate and expected earnings growth differentials across countries. In contrast, the adoption of the Euro was not associated with increased integration. Our results do not change when the sample is extended to include the recent crisis period.

What Segments Equity Markets?

Review of Financial Studies 2011 24(12), 3841-3890
We propose a new, valuation-based measure of world equity market segmentation. While we observe decreased levels of segmentation in many countries, the level of segmentation remains significant in emerging markets. We characterize the factors that account for variation in market segmentation both through time as well as across countries. Both a country's regulation with respect to foreign capital flows and certain nonregulatory factors are important. In particular, we identify a country's political risk profile and its stock market development as two additional local segmentation factors as well as the U.S. corporate credit spread as a global segmentation factor.

The Global Crisis and Equity Market Contagion

Journal of Finance 2014 69(6), 2597-2649
ABSTRACT We analyze the transmission of the 2007 to 2009 financial crisis to 415 country‐industry equity portfolios. We use a factor model to predict crisis returns, defining unexplained increases in factor loadings and residual correlations as indicative of contagion. While we find evidence of contagion from the United States and the global financial sector, the effects are small. By contrast, there has been substantial contagion from domestic markets to individual domestic portfolios, with its severity inversely related to the quality of countries’ economic fundamentals. This confirms the “wake‐up call” hypothesis, with markets focusing more on country‐specific characteristics during the crisis.

Global Growth Opportunities and Market Integration

Journal of Finance 2007 62(3), 1081-1137
ABSTRACT We propose an exogenous measure of a country's growth opportunities by interacting the country's local industry mix with global price to earnings ( PE ) ratios. We find that these exogenous growth opportunities predict future changes in real GDP and investment in a large panel of countries. This relation is strongest in countries that have liberalized their capital accounts, equity markets, and banking systems. We also find that financial development, external finance dependence, and investor protection measures are much less important in aligning growth opportunities with growth than is capital market openness. Finally, we formulate new tests of market integration and segmentation by linking local and global PE ratios to relative economic growth.