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...

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,...

Key to deriving the lower bound to the expected excess return of the market in Martin (2017) is the assumption of the negative correlation condition (NCC). We improve on the lower bound characterization by proposing an exact formula for the conditional expected excess return of the market. In...

We formalize the notion of local time risk premium in the context of a theory in which the pricing kernel is a general diffusion process with spanned and unspanned components. We derive results on the expected excess return of options on bond futures. These results are organized around our...

We consider an incomplete markets international economy in discrete-time. The first result is an impossibility theorem showing that if cross-currency no-arbitrage is to hold, the exchange rate cannot be a stationary process in levels. The second result is a system of stochastic discount factor...