@Article{EAJAM-6-314, author = {Minseok Park, Kyungsub Lee and Geon Ho Choe}, title = {Distribution of Discrete Time Delta-Hedging Error via a Recursive Relation}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {6}, number = {3}, pages = {314--336}, abstract = {

We introduce a new method to compute the approximate distribution of the Delta-hedging error for a path-dependent option, and calculate its value over various strike prices via a recursive relation and numerical integration. Including geometric Brownian motion and Merton’s jump diffusion model, we obtain the approximate distribution of the Delta-hedging error by differentiating its price with respect to the strike price. The distribution from Monte Carlo simulation is compared with that obtained by our method.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.010116.220516a}, url = {http://global-sci.org/intro/article_detail/eajam/10801.html} }