European and American put valuation via a high-order semi-discretization scheme

Document Type : Research Paper


Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran


Put options are commonly used in the stock market to protect against the decline of the price of a stock below a specified price. On the other hand, finite difference approach is a well-known and well-resulted numerical scheme for financial differential equations. As such in this work, a new spatial discretization based on finite difference semi-discretization procedure with high order of accuracy is constructed for the problem of European and American put options. Several numerical experiments are also worked out.