We develop an incomplete markets framework to synthesize domestic and foreign stochastic discount factors (SDFs) that are consistent with limited international risk sharing. The fundamental departure in our paper is that exchange rate growth need not equal the ratio of SDFs, and we develop a...

We develop a restriction that precludes implausibly high reward-for-risk in incomplete international economies to consider a theoretical problem that characterizes a lower bound on the covariance between stochastic discount factors (SDFs) subject to correct pricing. The problem is analytically...

This paper addresses questions regarding the dimensionality of the stochastic discount factor and the selection of the best factors that enter it. We analyze these questions theoretically and empirically with a novel methodology which performs both (i) estimation of factor loadings and (ii) best...

This technical note serves to establish proofs for the list of statements in Bakshi, Crosby,and Gao (2019). We maintain their notation. Equation numbers not prefixed by letters refer to equations in Bakshi, Crosby, and Gao (2019). Section I studies the quantitative implications of the Vasicek...

If the evolution of equity index volatility and the pricing kernel were to be absent of risks unspanned by index futures, it would counterfactually imply that (i) the expected excess return of OTM calls on futures is positive, (ii) the expected excess return of straddles is approximately zero,...

We develop an axiomatically consistent way of ranking and scoring funds that respects an industry benchmark. Our performance measure, termed MAP, accounts for the feature that investors may exhibit skepticism when evaluating investment strategies versus a benchmark. Linking developed theory to...