This paper develops an optimal trading strategy explicitly linked to an agent's preferences and assessment of the distribution of asset returns. The price of this strategy is a portfolio of implied moments, and its expected excess returns naturally accommodate compensation for higher-order...

We introduce closed-form transition density expansions for multivariate affine jump-diffusion processes. The expansions rely on a general approximation theory which we develop in weighted Hilbert spaces for random variables which possess all polynomial moments. We establish parametric conditions...

We introduce a new class of swap trading strategies in incomplete markets, which disaggregate the tradeable compensation for time-varying nonlinear risks in aggregate market returns. While the price of Hellinger variance, a tradeable put-call symmetric measure of variance, has a leading...

We show how distributions can be reduced to low-dimensional scenario trees. Applied to intertemporal distributions, the scenarios and their probabilities become time-varying factors. From S&P 500 options, two or three time-varying scenarios suffice to forecast returns, implied variance or...

We investigate optimal trading strategies under uncertainty in a nonparametric no-arbitrage framework that is consistent with an arbitrary number of assets. We show that extreme aversion to uncertainty precludes trading, and that preference for uncertainty induces market participation. In an...

We investigate the market-compatible degree of agent heterogeneity by identifying and analyzing the full range of conditional beliefs consistent with observed asset prices and good-deal bounds. Our methodology neither makes assumptions on underlying processes nor does it use survey data. It can...