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Research Article | Open Access

Pricing five-asset Equity-Linked Securities (ELS) with step-down and knock-in barrier conditions on Android platform

Junseok Kim1Juho Ma1Hyunho Shin1Hyundong Kim2( )
Department of Mathematics, Korea University, Seoul 02841, Republic of Korea
Department of Mathematics and Physics, Gangneung-Wonju National University, Gangneung 25457, Republic of Korea
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Abstract

In this work, we propose a computational algorithm for calculating the fair price of five-asset Equity-Linked Securities under a step-down structure and a knock-in barrier condition. By using the Android platform, we implement a Monte Carlo simulation to accurately compute the fair price of Equity-Linked Securities with five-asset dynamics, which offers the advantage of location-independent pricing through mobile devices. We use the Cholesky decomposition to generate correlated random numbers based on the correlation matrix of the five underlying assets. To generate the discrete stock price paths, a discretized stochastic differential model is considered under the geometric Brownian motion assumption. The findings confirm the usefulness of the Monte Carlo simulation in pricing five-asset step-down Equity-Linked Securities derivatives and demonstrate the practicality of conducting advanced financial calculations on mobile devices. The implementation of this algorithm on the Android platform represents a significant advancement in the development of multi-asset Equity-Linked Securities, which offer the potential for higher coupon yields. Moreover, this research highlights the potential for further innovations in Fintech and suggests that the integration of technology has the capacity to improve the investment process by improving the accessibility and efficiency of financial tools.

CLC number: 39A50, 60H35, 65C30, 65Y04, 65Y20, 91G20, 91G60

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AIMS Mathematics
Pages 10452-10470

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Cite this article:
Kim J, Ma J, Shin H, et al. Pricing five-asset Equity-Linked Securities (ELS) with step-down and knock-in barrier conditions on Android platform. AIMS Mathematics, 2025, 10(5): 10452-10470. https://doi.org/10.3934/math.2025476

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Received: 23 December 2024
Revised: 10 April 2025
Accepted: 25 April 2025
Published: 15 May 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)