We develop a simple, tractable and sound stochastic framework for the joint treatment of risk and time preferences, in order to facilitate the estimation of risk and time attitudes. In so doing we: (i) study deterministic models of risk and time preferences paying special attention to their comparative statics, (ii) embed the deterministic models and their comparative statics within the random utility framework, and (iii) show how to estimate them, illustrating this exercise on several experimental datasets.