Expectiles were originally introduced by Newey and Powell (Econometrica 1987) in order to test for symmetry in heteroskedastic regression models. They have recently seen a regain of interest due to nice properties they have in the context of risk assessment in insurance and finance. I will discuss the definition of expectiles, some of their most important properties, and recent work around their estimation and inference at extreme levels. I will illustrate the results on actuarial and financial data.