An Intertemporal International Asset Pricing Model: Theory and Empirical Evidence

We extend Campbell's (1993) model to develop an intertemporal international asset pricing model (IAPM). We show that the expected international asset return is determined by a weighted average of market risk, market hedging risk, exchange rate risk and exchange rate hedging risk. These weights sum up to one. Our model explicitly separates hedging against changes in the investment opportunity set from hedging against exchange rate changes as well as exchange rate risk from intertemporal hedging risk. A test of the conditional version of our intertemporal IAPM using a multivariate GARCH process supports the asset pricing model. We find that the exchange rate risk is important for pricing international equity returns and it is much more important than intertemporal hedging risk.     

Local risk factors in emerging markets: Are they separately priced?

We provide new evidence on the pricing of local risk factors in emerging stock markets. We investigate whether there is a significant local currency premium together with a domestic market risk premium in equity returns within a partial integration asset pricing model. Given previous evidence on currency risk, we conduct empirical tests in a conditional setting with time-varying prices of risk. Our main results support the hypothesis of a significant exchange risk premium related to the local currency risk. Exchange rate and domestic market risks are priced separately for our sample of seven emerging markets. The empirical evidence also suggests that although statistically significant, local currency risk is on average smaller than domestic market risk but it increases substantially during crises periods, when it can be almost as large as market risk. Disentangling these two factors is thus important in tests of international asset pricing for emerging markets.     

Pricing currency risk in the stock market: Evidence from Finland and Sweden 1970-2009

We investigate the role of currency risk on stock markets in two interlinked Nordic countries exhibiting a gradual move from fixed to floating exchange rates. We apply the Ding and Engle (2001) covariance stationary specification in a multivariate GARCH-M setup to test a conditional international asset pricing model. Using a sample period from 1970 to 2009, we find that the currency risk is priced in both stock markets, and that the price and the risk premium are lower after the floatation of the currencies, especially for Finland. We also find the cross-country exchange rate shock from Finland to affect the price of currency risk in Sweden, but not vice versa. Finally, we discuss some of the potential issues in applying multivariate GARCH-M specifications in tests of asset pricing models.     

Conditional risk premia in currency markets and other asset classes

The downside risk capital asset pricing model (DR-CAPM) can price the cross section of currency returns. The market-beta differential between high and low interest rate currencies is higher conditional on bad market returns, when the market price of risk is also high, than it is conditional on good market returns. Correctly accounting for this variation is crucial for the empirical performance of the model. The DR-CAPM can jointly rationalize the cross section of equity, equity index options, commodity, sovereign bond and currency returns, thus offering a unified risk view of these asset classes. In contrast, popular models that have been developed for a specific asset class fail to jointly price other asset classes.     

Keep on smiling? The pricing of Quanto options when all covariances are stochastic

The paper introduces a model for the joint dynamics of asset prices which can capture both a stochastic correlation between stock returns as well as between stock returns and volatilities (stochastic leverage). By relying on two factors for stochastic volatility, the model allows for stochastic leverage and is thus able to explain time-varying slopes of the smiles. The use of Wishart processes for the covariance matrix of returns enables the model to also capture stochastic correlations between the assets. Our model offers an integrated pricing approach for both Quanto and plain-vanilla options on the stock as well as the foreign exchange rate. We derive semi-closed form solutions for option prices and analyze the impact of state variables. Quanto options offer a significant exposure to the stochastic covariance between stock prices and exchange rates. In contrast to standard models, the smile of stock options, the smile of currency options, and the price differences between Quanto options and plain-vanilla options can change independently of each other.     

Stochastic risk premiums,stochastic skewness in currency options,and stochastic discount factors in international economies

We develop models of stochastic discount factors in international economies that produce stochastic risk premiums and stochastic skewness in currency options. We estimate the models using time-series returns and option prices on three currency pairs that form a triangular relation. Estimation shows that the average risk premium in Japan is larger than that in the US or the UK, the global risk premium is more persistent and volatile than the country-specific risk premiums, and investors respond differently to different shocks. We also identify high-frequency jumps in each economy but find that only downside jumps are priced. Finally, our analysis shows that the risk premiums are economically compatible with movements in stock and bond market fundamentals.     

The impact of exchange rates on stock market returns: new evidence from seven free-floating currencies

This paper provides evidence of a significant exchange rate effect on stock index returns using data from seven selected countries practicing free-floating exchange rate regimes. This research uses parity and asset pricing theories, thus placing it within the monetary-cum-economics framework for international asset pricing. In this study, we apply a system of seemingly unrelated regression to control for unobserved heterogeneity and cross-sectional dependence. The findings constitute evidence of a statistically significant exchange rate impact on stock index returns across selected countries. These findings can be considered as falling under the arbitrage pricing approach of the international capital asset pricing model of Solnik who also used the parity-theoretical framework on exchange rate determination.     

Exchange rate and inflation risk premia in the EMU

This paper tests the effects of exchange rate and inflation risk factors on asset pricing in the European Union (EU) stock markets. This investigation was motivated by the results of Vassalou [J. Int. Money Finance, 2000, 19, 433–470] showing that both exchange rate and foreign inflation are generally priced in equity returns, and it studies the opportunity of evaluating the causality between these sources of risk after the elimination of the EU currency risks because of the adoption of the single currency. Our results show that both exchange rate and inflation risks are significantly priced in the pre- and post-euro periods. Moreover, the sizes of exchange rate and inflation risk premiums are economically significant in the pre- and post-euro periods. Futhermore, the UK and excluding-UK inflation risk premiums explain, in part, our evidence concerning a large EUR/GBP exchange rate risk premium and the existence of an economically significant domestic non-diversifiable risk after euro adoption. Hence overlooking inflation risk factors can produce an under/overestimation of the currency premiums and a miscalculation of the degree of integration of stock markets.     

The World Price of Foreign Exchange Risk: Some Synthetic Comments

International asset pricing requires to take into account currency risk. Equilibrium models of the international capital market show that risk premia should be associated with currency risks. This is supported by empirical evidence. This paper reviews the existing theoretical and empirical literature and discusses their practical implications.     

Time-varying stock returns and labor income risks in the US and UK

I propose and estimate conditional asset pricing models where the risk premiums of the markets are related to the conditional covariance of the markets with labor income growth within and across countries and the volatility of the markets are related to the shocks and interactions of stock returns and labor income growth. I document that the risk premiums for the US and UK stock markets are more related to the conditional covariance of returns with the labor income growth within countries than across countries. I also find significant interactions of volatilities between stock returns and labor income within countries but not across countries. The results are consistent with the hypothesis that prices of domestic stocks are determined to a greater extent by stochastic discount factors of domestic investors than foreign investors and vice versa.     

Exchange Rate Exposure at the Firm and Industry Level

Previous work on the exposure of firms to exchange rate risk has primarily focused on U.S. firms and, surprisingly, found stock returns were not significantly affected by exchange‐rate fluctuations. The equity market premium for exposure to currency risk was also found to be insignificant. In this paper we examine the relation between Japanese stock returns and unanticipated exchange‐rate changes for 1,079 firms traded on the Tokyo stock exchange over the 1975–1995 period. Second, we investigate whether exchange‐rate risk is priced in the Japanese equity market using both unconditional and conditional multifactor asset pricing testing procedures. We find a significant relation between contemporaneous stock returns and unanticipated yen fluctuations. The exposure effect on multinationals and high‐exporting firms, however, is found to be greater in comparison to low‐exporting and domestic firms. Lagged‐exchange rate changes on firm value are found to be statistically insignificant implying that investors are able to assess the impact of exchange‐rate changes on firm value with no significant delay. The industry level analysis corroborates the cross‐sectional findings for Japanese firms in that they are sensitive to contemporaneous unexpected exchange‐rate fluctuations. The co‐movement between stock returns and changes in the foreign value of the yen is found to be positively associated with the degree of the firm's foreign economic involvement and inversely related to its size and debt to asset ratio. Asset pricing tests show that currency risk is priced. We find corroborating evidence in support of the view that currency exposure is time varying. Our results indicate that the foreign exchange‐rate risk premium is a significant component of Japanese stock returns. The combined evidence from the currency exposure and asset pricing analyses, suggests that currency risk is priced and, therefoe, has implications for corporate and portfolio managers.     

Forecasting Emerging Market Exchange Rates from Foreign Equity Options

The use of derivatives to infer future exchange rates has long been a subject of interest in the international finance literature. With the recent currency crises in Mexico, Southeast Asia, and Brazil, work on exchange rate expectations in emerging markets is of particular interest. For some emerging markets, foreign equity options are the only liquid exchange‐traded derivatives with currency information embedded in their prices. Given that emerging markets sometimes undergo currency realignment with discrete jumps in their exchange rate, estimation of risk‐neutral probability density functions from foreign equity option data provides valuable evidence concerning market expectations. To illustrate the use of foreign equity options in estimating market beliefs, we consider Telmex options around the 1994 peso devaluation and find evidence that markets anticipated the change in the Mexican government's foreign exchange policy.     

An International Asset Pricing Model with Time-Varying Hedging Risk

This paper employs a two-factor international equilibrium asset pricing model to examine the pricing relationships among the world's five largest equity markets. In addition to the traditional market factor premium, a hedging factor premium is included as the second factor to explain the relationship between risks and returns in the international stock markets. Moreover, a GARCH parameterization is adopted to characterize the general dynamics of the conditional second moments. The results suggest that the additional hedging risk premium is needed to explain rates of return on international equities. Furthermore, the restriction that the coefficient on the hedge-portfolio covariance is one smaller than the coefficient on the market-portfolio covariance can not be rejected. This suggests that the intertemporal asset pricing model proposed by Campbell (1993) can be used to explain the returns on the five largest stock market indices.     

An alternative measure of the “world market portfolio”: Determinants, efficiency, and information content

The world market portfolio plays an important role in international asset pricing, but is unobservable in practice. We first propose a framework for constructing a market proxy that corresponds to the “market portfolio” of financial theory. We then construct this proxy, analyze its determinants and test its efficiency and explanatory power over the period 1975-2007 with respect to the return generating processes of a broad asset universe. We show that its major determinants are traded assets and that it is not efficient. However, it is significant for explaining individual asset returns over an asset universe that includes stocks, bonds, money markets and commodities. The explanatory information is incremental to what is available in traded asset prices and the significance of this information is robust with respect to diversified portfolios generated by factor analysis and to characteristic-sorted portfolios as well as to various model specifications, including the single-index model, the Fama-French (1992) three factor model for stocks, and various specifications of multi-index models hedged and unhedged for foreign currency risk.     

Foreign exchange risk pricing and equity market segmentation in Africa

This work is the first to investigate simultaneously the occurrence of unconditional currency risk pricing and equity market segmentation in Africa’s major stock markets. The multi-factor asset pricing theory provides the theoretical framework for our model. We find strong evidence suggesting that Africa’s equity markets are partially segmented. However, we find insufficient evidence to reject the hypothesis that foreign exchange risk is not unconditionally priced in Africa’s stock markets. This result is robust to alternative foreign exchange rate-adjusted return measures. These findings suggest that international investors can diversify into Africa’s equity markets without worrying about unconditional risks associated with foreign exchange rate fluctuations.     

The Share of Systematic Variation in Bilateral Exchange Rates

Sorting countries by their dollar currency betas produces a novel cross section of average currency excess returns. A slope factor (long in high beta currencies and short in low beta currencies) accounts for this cross section of currency risk premia. This slope factor is orthogonal to the high‐minus‐low carry trade factor built from portfolios of countries sorted by their interest rates. The two high‐minus‐low risk factors account for 18% to 80% of the monthly exchange rate movements. The two risk factors suggest that stochastic discount factors in complete markets' models should feature at least two global shocks to describe exchange rates.     

International asset returns and exchange rates

We present a consumption-based international asset-pricing model to study global equity premiums, the US riskfree rate and the cross section of international asset returns. The model entails idiosyncratic, country-specific consumption risk, which helps explain the magnitude of global equity premiums. It also features country-specific habit formation, which helps explain the level of the interest rate on the US short-term Treasury bills traded by domestic and international investors. We find that the model explains approximately 40–50% of the cross section of currency and equity premiums as well as expected returns from value and growth portfolios of at least a dozen countries. Changes in real exchange rates are responsible for explaining approximately half of the cross section of international asset returns.     

Inflation risk and international asset returns

We show that inflation risk is priced in international asset returns. We analyze inflation risk in a framework that encompasses the International Capital Asset Pricing Model (ICAPM) of Adler and Dumas (1983). In contrast to the extant empirical literature on the ICAPM, we relax the assumption that inflation rates are constant. We estimate and test a conditional version of the model for the G5 countries (France, Germany, Japan, the UK, and the US) over the period 1975–1998 and find evidence of statistically and economically significant prices of inflation risk (in addition to priced nominal exchange rate risk). Our results imply a rejection of the restrictions imposed by the ICAPM. In an extension of our analysis to 2003, we show that even after the termination of nominal exchange rate fluctuations in the euro area in 1999, differences in inflation rates across countries entail non-trivial real exchange rate risk premia.     

Can Asset Pricing Models Price Idiosyncratic Risk in U.K. Stock Returns?

I examine how well different linear factor models and consumption‐based asset pricing models price idiosyncratic risk in U.K. stock returns. Correctly pricing idiosyncratic risk is a significant challenge for many of the models I consider. For some consumption‐based models, there is a clear tradeoff in the performance of the models between correctly pricing systematic risk and idiosyncratic risk. Linear factor models do a better job in most cases in pricing systematic risk than consumption‐based models but the reverse is true for idiosyncratic risk.     

Is liquidity the missing link?

Durand et al. (2006a ) argue that the Australian market is both internationally integrated and domestically segmented. They find that the US‐based three‐factor model captures returns of the largest stocks in Australia (evidence of international integration), but that it is unable to account for the returns of the smallest stocks (evidence of domestic segmentation). This study resolves the puzzle left by Durand et al. (2006a) . Incorporating a liquidity factor provides the missing link in their analysis: it results in a model that permits both the international integration of the largest stocks and the model can account for the returns of the smallest stocks. Our analysis highlights the important role of liquidity in Australian asset pricing.