We study the effects of market incompleteness on speculation, investor survival, and asset pricing moments when investors disagree about the likelihood of jumps and have recursive preferences. We consider two models. In a model with jumps in aggregate consumption, incompleteness barely matters because the consumption claim resembles an insurance product against jump risk and effectively reproduces approximate spanning. In a long-run risk model with jumps in the long-run growth rate, market incompleteness affects speculation and investor survival. Jump and diffusive risks are more balanced regarding their importance, and therefore the consumption claim cannot reproduce approximate spanning.

It is a major challenge for asset pricing models to generate a high equity premium and a low risk-free rate while imposing realistic consumption dynamics. To address this issue, our paper proposes a novel pricing channel: we allow for consumption drops that can spark an economic crisis. This new feature generates a large equity premium even if possible consumption drops are of moderate size. In turn, our model also matches the consumption data of 42 countries along several dimensions. In particular, our approach generates a realistic number of crises that have realistic durations and involve clustering of moderate consumption drops.

Directed links in cash flow networks affect the cross-section of risk premia through three channels. In a tractable consumption-based equilibrium asset pricing model, we obtain closed-form solutions that disentangle these channels for arbitrary directed networks. First, shocks that can propagate through the economy command a higher market price of risk. Second, shock-receiving assets earn an extra premium since their valuation ratios drop upon shocks in connected assets. Third, a hedge effect pushes risk premia down: when a shock propagates through the economy, an asset that is unconnected becomes relatively more attractive and its valuation ratio increases.

We propose a Wishart Affine Stochastic Correlation (WASC) model for the joint dynamics of the SDF in an international economy. We derive exchange rate dynamics and a quasi-closed-form solution for currency option pricing. This solution includes Heston’s stochastic volatility model as a special case. We benchmark our approach to a vector-based model inspired by Bakshi, Carr, Wu (2008, JFE). We estimate both models for the US, Europe, and Japan. Empirically, the WASC model is more robust with respect to the estimation period. In contrast to the benchmark model, estimated risk sharing indices seem to reflect the Euro crisis (2011/12) in the WASC model. Moreover, the explanatory power of filtered Sharpe ratios for stock market returns and volatilities is higher (both in- and out-of-sample).

In this paper, we challenge the often implemented herding measure by Chang et al. (2000). They regress the cross-sectional absolute deviation of returns on the absolute and squared excess market return. A coefficient on the squared excess market return significantly smaller than zero is interpreted as evidence for herding. However, we show that the true coefficient is positive under the null hypothesis of no herding. Hence, their test is biased against finding evidence in favour of herding. Empirical examinations for the S&P 500 and the EuroStoxx 50 confirm the misleading implications of Chang, Cheng and Khorana’s measure, while our modified test provides clear-cut evidence for herding behaviour.