Long Term Risk

Abstract

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 concerned with the effect of long run risk on returns and prices. (ii) Develop an analytical structure that reveals the long-run risk-return relationship in nonlinear continuous time Markov environments. This is done by studying a principal eigenvalue problem for a conveniently chosen family of valuation operators.ou