This volume contains a refereed selection of papers, which were first presented at the international conference on Numerical Methods for Finance held in Dublin, Ireland in June 2006 and were then submitted for publication. The refereeing procedure was carried out by members of the International Steering Committee, the Local Organizing Committee and the Editors. The aim of the conference was to attract leading researchers, both practitioners and academics, to discuss new and relevant numerical methods for the solution of practical problems in finance. The conference was held under the auspices of the Institute for Numerical Computation and Analysis, a non-profit.