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Iranian Journal of Operations Research، جلد ۹، شماره ۲، صفحات ۸۱-۹۴

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عنوان انگلیسی Comparison of Selected Advanced Numerical Methods for Greeks Calculation of Vanilla Options
چکیده انگلیسی مقاله Option valuation has been a challenging issue of financial engineering and optimization for a long time. The increasing complexity of market conditions requires utilization of advanced models that, commonly, do not lead to closed-form solutions. Development of novel numerical procedures, which prove to be efficient within various option valuation problems, is therefore worthwhile. Notwithstanding, such novel approaches should be tested as well, the most natural way being to assume simple plain vanilla options under the Black and Scholes model first; because of its simplicity the analytical solution is available and the convergence of novel numerical approaches can be analyzed easily. Here, we present the methodological concepts of two relatively modern numerical techniques, i.e., discontinuous Galerkin and fuzzy transform approaches, and compare their performance with the standard finite difference scheme in the case of sensitivity calculation (a so-called Greeks) of plain vanilla option price under Black and Scholes model conditions. The results show some interesting properties of the proposed methods.
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نویسندگان مقاله | Ales Kresta
Technical University Ostrava


| Jiri Hozman
Technical University of Liberec


| Michal Holcapek
University of Ostrava


| Tomas Tichy
Technical University Ostrava


| Radek Valasek
University of Ostrava



نشانی اینترنتی http://iors.ir/journal/browse.php?a_code=A-10-750-15&slc_lang=en&sid=1
فایل مقاله اشکال در دسترسی به فایل - ./files/site1/rds_journals/460/article-460-2097652.pdf
کد مقاله (doi)
زبان مقاله منتشر شده en
موضوعات مقاله منتشر شده Fuzzy Sets and Systems
نوع مقاله منتشر شده پژوهشی
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