This paper considers a sequence of discrete-time random walk markets with a single risky asset, and gives conditions for the existence of arbitrage opportunities or free lunches with vanishing risk, of the form of waiting to buy and selling the next period, with no shorting, and furthermore for...

The majority of risk adjusted performance measures (RAPM) currently in use – e.g., Treynor ratio, (?/?)) ratio, Omega index, RoVaR, ‘coherent’ preference criteria, etc. – are incompat- ible with any sensible utility function and would be best avoided. We argue instead for the assessment...

We generalize the long-run risks (LRR) model in Bansal and Yaron (2004) by incorporating the recursive smooth ambiguity aversion preferences of Klibanoff, Marinacci, and Mukerji (2005, 2009) and time-varying ambiguity. Relative to the Bansal-Yaron model, the generalized LRR model remains...

This paper empirically analyzes a model that relates earnings price ratios to long term risk free rates and implied volatilities. The two periods with sufficient available data are 1890-1933, and 2007-2019. I estimate that modern investors have relative risk aversion of 1.34 and a time...

I generalize the long-run risks (LRR) model of Bansal and Yaron (2004) by incorporating recursive smooth ambiguity aversion preferences from Klibanoff et al. (2005, 2009) and time-varying ambiguity. Relative to the Bansal-Yaron model, the generalized LRR model is as tractable but more flexible...

In this paper, we extend the popular Barndorff-Nielsen Shephard stochastic volatility model to the case of a pure-jump Ornstein-Uhlenbeck equation with non-vanishing stochastic mean-reversion level. Based on this setup, we derive representations for the squared VIX process and related VIX...

In this study, I develop a novel methodology to extract crash risk premia from options and stock markets. I document a dramatic increase in crash risk premia after the 2008/2009 nancial crisis, indicating that investors are willing to pay high insurance to hedge against crashes in individual...

We extract variance and skew risk premiums from volatility derivatives in a model-free way and analyze their relationships along with volatility index and equity index returns. These risk premiums can be synthesized through option trading strategies. Using a time series of option prices on the...

I study whether risk premiums for exposure to state variables in the cross-section of individual stocks are consistent with how these variables forecast macroeconomic activity in the time-series. I find such time-series and cross-sectional consistency. This finding suggests that investors are...

Past works have documented the predictive power of short-term stock return momentum and option volume ratios for future stock returns. We find option volume ratios have greater power to predict future returns when evidence prices are out of equilibrium exists, proxied for by increases in implied...