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COMPUTATIONAL METHOD FOR PROBABILITY DISTRIBUTION ON RECURSIVE RELATIONSHIPS IN FINANCIAL APPLICATIONS

Published online by Cambridge University Press:  26 January 2019

Jong Jun Park  and
Kyungsub Lee Open the ORCID record for Kyungsub Lee [Opens in a new window]
Jong Jun Park
Affiliation:
Department of Mathematical Sciences, KAIST, 291 Daehak-ro, Daejeon34141, Republic of Korea
Kyungsub Lee
Affiliation:
Department of Statistics, Yeungnam University, Gyeongsan, Gyeongbuk38541, Republic of Korea E-mail: [email protected]
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Abstract

In quantitative finance, it is often necessary to analyze the distribution of the sum of specific functions of observed values at discrete points of an underlying process. Examples include the probability density function, the hedging error, the Asian option, and statistical hypothesis testing. We propose a method to calculate such a distribution, utilizing a recursive method, and examine it using various examples. The results of the numerical experiment show that our proposed method has high accuracy.

Keywords

applied probabilitycomputational probabilitymanagement sciencemathematical financestochastic modeling
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 34 , Issue 2 , April 2020 , pp. 258 - 278
Copyright
Copyright © Cambridge University Press 2019

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