Exploring Currency Risk Factors via Corridor Implied Volatility and Its Term Structures

Abstract

This paper extends the application of corridor implied volatility by Andersen et al. (2015) to currency market, empirically measuring currency risks at multiple horizons, and finds its term structure contains useful information, both for profitable trading strategies and for common risk factors constructions on the basis of Lustig et al. (2011). I consistently find that for currencies paired by US dollars, the term structure of currency risk is flat at a low level prior to the 2008 crisis, upward-sloping after the crisis and peaks at a high level with a prominently negative slope during the crisis. This work is believed to be new in the currency research field. I then use this information to build trading strategies, earning a profit by longing currencies with the highest level or slope and shorting ones with the lowest level or slope. The profit by sorting slope is significantly high and robust to the 2008 crisis period, with a low correlation to the Carry Trade return, suggesting extra information in risk than the interest rate. Next, I extract global risk factors by level and slope to help understand the currency excess return, a long-lasting puzzle. The global risk factor by level substantially improves the cross-sectional explanatory power in currency excess returns compared to Lustig et al. (2011). Furthermore, I show that there is certain high risk corresponding to a high level and low slope, and high interest rate currency earns returns co-varying negatively to this risk, implying that it is a risky asset and thus requires a high risk premium, which explains the Carry Trade return well.