In this paper, we develop lower bounds on the variance of the permanent component and the transitory component, and on the variance of the ratio of the permanent to the transitory components of SDFs. Exactly solved eigenfunction problems are then used to study the empirical attributes of asset...

Under the setting that stochastic discount factors (SDFs) jointly price a vector of returns, this paper features entropy-based restrictions on SDFs, and its correlated multiplicative components, to evaluate asset pricing models. Specifically, our entropy bound on the square of the SDFs is...