We derive representations for the stock price drift and volatility in the equilibrium of agents with arbitrary, heterogeneous utility functions and with the aggregate dividend following an arbitrary Markov diffusion. We introduce a new, intrinsic characteristic of the aggregate dividend process...

This paper presents an equilibrium model in a pure exchange economy when investors have three possible sources of heterogeneity. Investors may differ in their beliefs, in their level of risk aversion and in their time preference rate. We study the impact of investors heterogeneity on the...

We study survival, price impact and portfolio impact in heterogeneous economies. We show that, under the equilibrium risk-neutral measure, long-run price impact is in fact equivalent to survival, whereas longrun portfolio impact is equivalent to survival under an agent-specific, wealth-forward...

We study whether prices of traded options contain information about future extreme market events. Our option-implied conditional expectation of market loss due to tail events, or tail loss measure, predicts future market returns, magnitude, and probability of the market crashes, beyond and above...

I study the effects of risk and ambiguity (Knightian uncertainty) on optimal portfolios and equilibrium asset prices when investors receive information that is difficult to link to fundamentals. I show that the desire of investors to hedge ambiguity leads to portfolio inertia and excess...

The objective of this paper is twofold: (1) to analyze an optimal portfolio rebalancing by a fund manager in response to a “volatility shock” in one of the asset markets, under sufficiently realistic assumptions about the fund manager's performance criteria and portfolio restrictions; and...

We empirically show across several broad asset classes that sectoral wealth shares do not positively correlate with their risk premia---a first-order prediction of canonical equilibrium models. We then analyze the roles mean-variance and hedging demand play in accounting for sectoral shifts...

We propose a Multivariate Volatility Regulated Kelly strategy, which has extra penalization on variance compared to the Kelly criterion. The objective function is constructed and solved. We show the superiority of our method in relative low correlated portfolios, relatively to fractional Kelly...

Several analysts report explosive annualized Sharpe Ratios (ASRs) for investment portfolio performance evaluation of high frequency traders (HFTers) ranging from 4.3 to 5,000. This suggests that the profitability of HFT is much higher than that of other actively managed portfolios. In highly...

S&P 500 Index option-based volatility indexes have untenable risk-return profiles. These volatility indexes are not designed with consideration of important real-world risk characteristics of options and fail to represent volatility as a differentiated asset-class with relevance to the long-term...