We study continuous-time consumption and portfolio choice in the presence of Knightian uncertainty about interest rates. We develop the stochastic model that involves singular priors and analyze optimal behavior. When there is sufficiently large uncertainty about interest rates, the agent...

In this paper, we deal with a class of one-dimensional backward doubly stochastic differential equations (BDSDEs) with non-Lipschitz coefficients. We obtain an existence theorem and a comparison theorem for solutions of the class of BDSDEs.