We analyze the Foster-Hart measure of riskiness for general distributions in dynamic settings. The Foster-Hart measure avoids bankruptcy in the long run. It is not time-consistent.

Foster and Hart propose a measure of riskiness for discrete random variables. Their defining equation has no solution for many common continuous distributions. We show how to extend consistently the definition of riskiness to continuous random variables. For many continuous random variables, the...

We analyze the Foster-Hart measure of riskiness for general distributions in dynamic settings. The Foster-Hart measure avoids bankruptcy in the long run. It is not time-consistent.

Foster and Hart proposed an operational measure of riskiness for discrete random variables. We show that their defining equation has no solution for many common continuous distributions. We show how to extend consistently the definition of riskiness to continuous random variables. For many...