Fabozzi, F. and Leccadito, A. and Tunaru, R. (2012) A New Method For Generating Approximation Algorithms For Financial Mathematics Applications. Quantitative Finance . pp. 1-13. ISSN 1469-7688 .
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This paper describes a new technique that can be used in financial mathematics for a wide range of situations where the calculation of complicated integrals is required. The numerical schemes proposed here are deterministic in nature but their proof relies on known results from probability theory regarding the weak convergence of probability measures. We adapt those results to unbounded payoffs under certain mild assumptions that are satisfied in finance. Because our approximation schemes avoid repeated simulations and provide computational savings, they can potentially be used when calculating simultaneously the price of several derivatives contingent on the same underlying. We show how to apply the new methods to calculate the price of spread options and American call options on a stock paying a known dividend. The method proves useful for calculations related to the log-Weibull model proposed recently for empirical asset pricing.
|Subjects:||H Social Sciences > H Social Sciences (General)|
|Divisions:||Faculties > Social Sciences > Kent Business School > Accounting and Finance|
|Depositing User:||Cathy Norman|
|Date Deposited:||02 Feb 2012 16:00|
|Last Modified:||03 Feb 2012 11:28|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/28646 (The current URI for this page, for reference purposes)|
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