Three concepts: stochastic discount factors, multi-beta pricing and mean-variance efficiency, are at the core of modern empirical asset pricing. This chapter reviews these paradigms and the relations among them, concentrating on conditional asset-pricing models where lagged variables serve as...

Effective risk management is an important aspect of farming. Risk management involves choosing among alternatives that reduce the financial effects of the uncertainties of weather, yields, prices, government policies, and other factors that can cause wide swings in farm income. To deal with...

We revisit the role of liquidity risk. We successfully replicate Pastor and Stambaugh's (2003) gamma liquidity risk index and, within their time period, concur with their risk premium estimate. An out-of-their-time-period analysis finds post-time-period returns that are higher and...

In the paper we introduce an empirical approximation of the log-optimal investment strategy that guarantees an almost optimal growth rate of investments. The proposed strategy also considers the effects of portfolio rearrangement costs on growth optimality and advises a suboptimal portfolio for...

This study provides evidence of common bivariate jumps (i.e., systematic cojumps) between the market index and style-sorted portfolios. Systematic cojumps are prevalent in book-to-market portfolios and hence, their risk cannot easily be diversified away by investing in growth or value stocks....

We propose an alternative approach to the linear factor model to estimate and decompose asset risk premia in empirical asset pricing. To resolve the high-dimensional sort difficulty in forming characteristic-based benchmark portfolios, we introduce a benchmark combination model (BCM) that...

We introduce a class of interpretable tree-based models (P-Tree) for analyzing (unbalanced) panel data, with iterative and global (instead of recursive and local) split criteria. We apply P-Tree to split the cross section of asset returns under the no-arbitrage condition, generating a stochastic...

Investors have a growing awareness that climate transition risks (such as carbon pricing policy) are among the new risk drivers of the financial system. One of the relevant implications of a shock in carbon price is the increase in business costs, which may diminish profitability and affect...

We develop a new class of tree-based models (P-Tree) for analyzing (unbalanced) panel data utilizing global (instead of local) split criteria that incorporate economic guidance to guard against overfitting while preserving interpretability. We grow a P-Tree top-down to split the cross section of...

I investigate the exposure of sectoral equity portfolios to climate transition risks by augmenting a three-factor asset pricing model with a green-minus-brown (GMB) factor as a proxy. I estimate the relationship between risk factors and excess returns within an additive mixed model...