We create an analytical structure that reveals the long-run risk-return relationship for nonlinear continuous-time Markov environments. We do so by studying an eigenvalue problem associated with a positive eigenfunction for a conveniently chosen family of valuation operators. The members of this...

In financial economics risk-return tradeoffs show how expected rates of return and consequently asset prices are altered in response to changes in the exposure to the underlying shocks that impinge in the economy. In these lectures we will: (i) Present some of the recent literature that is...