The Equity Market Risk Premium and the Valuation of Overseas Investments

There is little agreement among academics or practitioners about how to measure the size of the equity market risk premium, particularly when it relates to investments in emerging markets. Using monthly equity returns for 22 developed and 24 emerging markets covering the period 1976–2006, the authors find that developed capital markets have experienced significant increases in their degree of integration with the U.S. and world market indexes, while emerging markets remain at least partly segmented from those of the U.S. and the world. For countries that are reasonably well integrated into global capital markets, the authors suggest using the U.S.—based equity market risk premium. But when valuing investments in emerging markets, they recommend use of the Capital Asset Pricing Model adjusted for political risk and a measure of co‐movement between the foreign and U.S. stock markets. The authors also remind readers that the equity market risk premium is supposed to be a forward‐looking measure, and that the common practice of inferring the future from the past can be misleading, particularly in the case of rapidly developing emerging markets.     

The cross-section of stock returns in frontier emerging markets

We are the first to investigate the cross-section of stock returns in the new emerging equity markets, the so-called frontier emerging markets. Our unique survivorship-bias free data set consists of more than 1400 stocks over the period 1997 to 2008 and covers 24 of the most liquid frontier emerging markets. The major benefit of using individual stock characteristics is that it allows us to investigate whether return factors that have been documented in developed countries also exist in these markets. We document the presence of economically and statistically significant value and momentum effects, and a local size effect. Our results indicate that the value and momentum effects still exist when incorporating conservative assumptions of transaction costs. Additionally, we show that value, momentum, and local size returns in frontier markets cannot be explained by global risk factors.     

Benefits of diversifying investments into emerging markets with time-varying correlations: An Australian perspective

Australian investors can reduce their overall portfolio risk by diversifying into equities from other markets. Emerging markets have attracted significant interest because of their low correlations with Australian equity market returns; however, a number of studies have indicated that correlations between equity returns are increasing over time, so using unconditional estimates of correlations in a portfolio optimization model can result in the selection of a portfolio that may not be optimal.We use an Asymmetric Dynamic Conditional Correlation GARCH model to estimate time-varying correlations and include these correlation estimates in the portfolio optimization model. The assets used for portfolio construction comprise seven emerging market indices that are available to foreign investors. This study finds that, despite increasing correlations, there are still potential benefits for Australian investors who diversify into international emerging markets.     

The Risk Exposure of Emerging Equity Markets

The low correlation between returns in emerging equity marketsand industrial equity markets implies that the global investorwould benefit from diversification in emerging markets. Thisarticle explores the sensitivity of the emerging-market returnsto measures of global economic risk. When these traditionalmeasures of risk are used, the emerging markets have littleor no sensitivity. This finding is consistent with these markets'being segmented from world capital markets. However, the correlationbetween the emerging-market returns and the risk factors appearsto be changing over time.     

Foreign Speculators and Emerging Equity Markets

We propose a cross-sectional time-series model to assess the impact of market liberalizations in emerging equity markets on the cost of capital, volatility, beta, and correlation with world market returns. Liberalizations are defined by regulatory changes, the introduction of depositary receipts and country funds, and structural breaks in equity capital flows to the emerging markets. We control for other economic events that might confound the impact of foreign speculators on local equity markets. Across a range of specifications, the cost of capital always decreases after a capital market liberalization with the effect varying between 5 and 75 basis points.     

Predictable risk and returns in emerging markets

The emergence of new equity markets in Europe, Latin America,Asia, the Mideast and Africa provides a new menu of opportunitiesfor investors. These markets exhibit high expected returns aswell as high volatility. Importantly, the low correlations withdeveloped countries' equity markets significantly reduces theunconditional portfolio risk of a world investor. However, standardglobal asset pricing models, which assume complete integrationof capital markets, fail to explain the cross section of averagereturns in emerging countries. An analysis of the predictabilityof the returns reveals that emerging market returns are morelikely than developed countries to be influenced by local information.     

Global economic activity as an explicator of emerging market equity returns

This paper evaluates whether global economic activity, measured by the maritime index and commodity index, is a distinct common factor in explaining equity returns in emerging markets. We document two important features of global equity markets that show that emerging market equities are a segregated part of the global stock market. First, our results show that increases in global economic activity are associated with higher emerging market equity returns. Second, companies in developed markets that have a significant exposure in emerging markets have incremental exposure to commodity returns. By allocating more capital to emerging market equities, an investor increases portfolio exposure to changes in global economic activity.     

Risk-Adjusted Performances of World Equity Indices

This article investigates whether equity indices of twenty-four emerging and twenty-eight developed markets compensate their investors equally after adjusting for total or downside risk, and examines the predictive power of reward-to-risk ratios for expected market returns. We find that when all fifty-two markets are ranked based on their alternative reward-to-risk ratios, almost all of the countries in the top (bottom) quartile are emerging (developed) markets. The pooled means of the reward-to-risk ratios are also significantly higher for emerging markets. Both portfolio and regressions analysis reveal that there is a significantly positive relation between various reward-to-risk metrics and expected market returns.     

Downside Risk in Practice

Although investors associate risk with negative outcomes and downside fluctuations, modern portfolio theory does not. For investors, volatility per se is not necessarily bad; volatility below a benchmark is. A stock that magnifies the market's fluctuations is not necessarily bad; one that magnifies the market's downside swings is. Even Harry Mar‐kowitz, the father of modern portfolio theory, viewed downside risk as a better way to assess risk than the “mean‐variance” framework that he ultimately proposed and that has since become the standard. This article highlights the shortcomings of traditional measures of risk (the standard deviation and beta), introduces the concept of downside risk, and discusses two measures of it—the “semideviation” and “downside beta.” It also discusses the use of such measures in asset pricing models to estimate required returns on equity. Data from a few well‐known companies are used to illustrate that the cost of equity based on downside risk can be substantially different from that based on the CAPM. The article concludes with a brief discussion of risk‐adjusted returns and a comparison of the traditional method of calculating such returns with both the Sharpe ratio and its counterpart in a downside risk framework, the Sortino ratio. The appendix demonstrates how to calculate these risk measures in Excel.     

The plausibility of risk estimates and implied costs to international equity investments

We reconsider the costs to international equity investments implied by standard portfolio theory (Cooper and Kaplanis, 1994; Sercu and Vanpée, 2008). Estimated costs are mostly driven by risk estimates, not by asset holdings. For OECD markets, risks are fairly stable and relatively easy to estimate, but for emerging markets this is not the case. Many required expected returns implied by unconditional risk estimates defy credibility, both a priori and empirically. More sophisticated volatility estimates based on a dynamic risk model a la Bekaert and Harvey (1997) lead to implicit costs that are far more credible, but the results remain fragile.     

International Equity Index and Currency Futures: Commodity Currencies or Emerging Versus Developed Markets?

Equity index futures in both emerging and developing markets that are net commodity exporters are strongly linked to their respective currency futures markets. Unconditional correlations among equity and currency futures are the highest for these net basic materials producers in both emerging and developed markets. Granger causality tests also indicate that stock market returns are more strongly related to currency futures returns for commodity-exporting countries. Additionally, conditional correlations among currency and equity futures returns are the strongest for commodity-producing countries in both emerging and developed economies. Volatility spillover analysis provides consistent results. The overall results indicate that the status of a country as a net importer or exporter of raw materials is more important to the relationship between equity and currency futures than whether it is an emerging or developed economy.     

The risk adjusted uncovered equity parity

This paper explores the risk adjusted uncovered equity parity model to investigate a degree of market integration for four Asian emerging markets relative to the U.S., Japan and the U.K. from January 1994 to July 2008. The uncovered equity parity is revised to take into account of market risk in a framework of a portfolio rebalancing model. Evidence was found to strongly support our hypotheses; Market risk is significant in international capital flows between the Asian emerging markets and the developed economies, and it can help explain the failure of a traditional uncovered equity (or interest) parity model. The relationship between returns and an appreciation of the exchange rate are divided between the Asian emerging markets and the developed economies, depending on the direction of capital flows.     

Stock returns’ sensitivities to crisis shocks: Evidence from developed and emerging markets

We consider three “crisis shocks” related to key features of the 2007–2008 crisis, for emerging and developed economies: (1) the collapse of global trade, (2) the contraction of credit supply, and (3) selling pressure on firms’ equity. Using an international cross-section of firms, we find that returns’ sensitivities to these shocks imply large and statistically significant influences on residual equity returns during the crisis period (after controlling for normal risk factors that are associated with expected returns). Similar analysis for several placebo periods shows that these effects are generally less severe or absent in non-crisis periods. Relative to developed economies, emerging markets are more responsive to global trade conditions (in crisis and in placebo periods), but less responsive to selling pressures. An analysis of portfolios of firms during various placebo periods indicates that investors are not compensated for the risks associated with the crisis shocks. Finally, a month-by-month analysis of returns during the crisis period shows that the time variation of the importance of each of the sensitivities to shocks tracks related changes in the global economic environment.     

Random Walks and Market Efficiency Tests of Latin American Emerging Equity Markets: A Revisit

The few existing studies on equity price dynamics and market efficiency for Latin American emerging equity markets show conflicting results. This study uses multiple varianceratio and auto-regressive fractionally integrated moving-average tests and new data (U.S. dollar-based national equity indices for the 1987–1997 period) to clarify these results. Documented evidence shows that equity prices in major Latin American emerging equity markets — Argentina, Brazil, Chile and Mexico—follow a random walk, and that they are, generally, weak-form efficient. In sum, therefore, the evidence suggests that international investors in these markets cannot use historical information to design systematically profitable trading schemes because future long-term returns are not dependent on past returns.     

The equity premium and market integration: Evidence from international data

This paper examines the equity premium puzzle by looking at stock market data from 39 countries. For each of these countries, average total return as well as excess returns was estimated for the past 20–30 years. I find that emerging markets have higher excess returns than developed markets, but when adjusted for risk developed markets have higher returns. I test the theory that degree of integration with global markets is a major explanatory factor for differences in excess returns, as the demand for domestic equities may be greater in countries that are less integrated and thus have less access to alternative overseas assets. I find a positive relationship between degree of integration and excess returns, which is evidence in favor of this theory.     

Brand Equity and Firm Risk: An Empirical Investigation in an Emerging Market

The aim of this article is to investigate the relationship between brand equity and firm risk in Turkey using a sample of 254 firm-year observations for the period 2009–2014. Our findings suggest that brand equity is an important determinant of equity risk in addition to conventional firm-specific variables. In particular, after controlling for firm-specific variables, the results reveal that firms with high brand equity experience lower volatility in stock returns. We also find that enhancing brand equity is an important tool for firms in reducing unsystematic and downside systematic risk in their stock prices. Our findings are robust to different valuation models of domestic and global investors as well as different methods of estimations. The results are encouraging for both marketing managers and investors, particularly those in emerging markets where stock price volatility is relatively higher than in developed markets.     

Global market inefficiencies

Using point-in-time accounting data, we estimate monthly fair values of 25,000+ stocks from 36 countries. A trading strategy based on deviations from fair value earns significant risk-adjusted returns (“alpha”) in most regions, especially Asia-Pacific, that are unrelated to known anomalies. The strategy's 40–70 basis point per month alpha difference between emerging and developed markets contrast with prior research findings. A country's pre-transaction cost alpha is positively related to its trading costs, but exceeds country-specific institutional trading costs. Thus, global equity markets are inefficient, particularly in countries with quantifiable market frictions, like trading costs, that deter arbitrageurs.     

The Cross-Section of Expected Stock Returns: New Evidence from an Emerging Market

Over 300 factors have been found to explain the cross-section of expected stock returns. Empirical studies also show that findings from multifactor asset-pricing models have not been consistent in an emerging market. Using DuPont analysis and a residual income valuation model for 284 nonfinancial companies on Ho Chi Minh Stock Exchange during the period 2008–2014, findings suggest that the return on equity and its change are informative for stock returns in Vietnam. In addition, the level of capital turnover, financial cost ratio (FCR), and changes in capital and in the FCR contain incremental explanatory power for stock returns.     

Extreme observations and risk assessment in the equity markets of MENA region: Tail measures and Value-at-Risk

The standard “delta-normal” Value-at-Risk methodology requires that the underlying returns generating distribution for the security in question is normally distributed, with moments which can be estimated using historical data and are time-invariant. However, the stylized fact that returns are fat-tailed is likely to lead to under-prediction of both the size of extreme market movements and the frequency with which they occur. In this paper, we use the extreme value theory to analyze four emerging markets belonging to the MENA region (Egypt, Jordan, Morocco, and Turkey). We focus on the tails of the unconditional distribution of returns in each market and provide estimates of their tail index behavior. In the process, we find that the returns have significantly fatter tails than the normal distribution and therefore introduce the extreme value theory. We then estimate the maximum daily loss by computing the Value-at-Risk (VaR) in each market. Consistent with the results from other developing countries [see Gencay, R. and Selcuk, F., (2004). Extreme value theory and Value-at-Risk: relative performance in emerging markets. International Journal of Forecasting, 20, 287–303; Mendes, B., (2000). Computing robust risk measures in emerging equity markets using extreme value theory. Emerging Markets Quarterly, 4, 25–41; Silva, A. and Mendes, B., (2003). Value-at-Risk and extreme returns in Asian stock markets. International Journal of Business, 8, 17–40], generally, we find that the VaR estimates based on the tail index are higher than those based on a normal distribution for all markets, and therefore a proper risk assessment should not neglect the tail behavior in these markets, since that may lead to an improper evaluation of market risk. Our results should be useful to investors, bankers, and fund managers, whose success depends on the ability to forecast stock price movements in these markets and therefore build their portfolios based on these forecasts.     

A practical approach to semideviation and its time scaling in a jump-diffusion process

One of the most popular risk-adjusted fund return measures in the asset management industry is the Sortino ratio. It is an alternative to the Sharpe ratio that differentiates harmful volatility from general volatility by taking into account the standard deviation of negative asset returns, a quantity called semideviation. Indeed, the semideviation is generally preferred to the standard deviation when the distribution of the returns is skewed. A common method to annualize it is to use the square-root-of-time rule, where an estimated quantile of a return distribution is scaled to a lower frequency by the square root of the time horizon. However, this relation does not generally hold for this risk measure and often gives a terrible estimation of it. The aim of this paper is to provide a practical approach to semideviation by explaining how it should be computed. We propose and justify the use of a new model, which delivers a more accurate estimation of the downside risk. It is a generalization of the Ball-Torous approximation of a jump-diffusion process, which can be applied when the volatility is constant or stochastic. In the latter case, we use Markov Chain Monte Carlo (MCMC) methods to fit our stochastic volatility model. We also derive an exact formula for the semideviation when the volatility is kept constant, explaining how it should be scaled when considering a lower frequency. For the tests, we apply our methodology to a highly skewed set of returns based on the Barclays US High Yield Index, where we compare different time scalings for the semideviation. Our work shows that the square-root-of-time rule provides a poor approximation of the semideviation, and that the simplification brought by Ball and Torous should be replaced by our new methodology, as it gives much better results.