@ARTICLE{26543120_26549446_2002, author = {Alexey Shvedov}, keywords = {, the theory of options, financial instrument, bond marketderivative financial instrument}, title = {

Finite Differences Approach to Option Pricing

}, journal = {HSE Economic Journal }, year = {2002}, volume = {6}, number = {2}, pages = {193-216}, url = {https://ej.hse.ru/en/2002-6-2/26549446.html}, publisher = {}, abstract = {The paper shows how partial differential equations for the prices of financial instruments are derived. By the example of convertible bonds and European stock options, it is demonstrated how the initial and boundary conditions leading to completely different solutions for the same equation are set.  The results of calculations, including the use of a new difference scheme for this area, are presented.}, annote = {The paper shows how partial differential equations for the prices of financial instruments are derived. By the example of convertible bonds and European stock options, it is demonstrated how the initial and boundary conditions leading to completely different solutions for the same equation are set.  The results of calculations, including the use of a new difference scheme for this area, are presented.} }