%0 Journal Article %T Multilevel Monte Carlo methods %A Michael B. Giles %J Mathematics %D 2013 %I arXiv %X The author's presentation of multilevel Monte Carlo path simulation at the MCQMC 2006 conference stimulated a lot of research into multilevel Monte Carlo methods. This paper reviews the progress since then, emphasising the simplicity, flexibility and generality of the multilevel Monte Carlo approach. It also offers a few original ideas and suggests areas for future research. %U http://arxiv.org/abs/1304.5472v1