Jurnal Matematika UNAND
Vol. 13 No. 3 (2024)

Numerical Solution of European Put Option for Black-Scholes Model Using Keller Box Method

Mardianto, Lutfi (Unknown)
Putra, Gusrian (Unknown)
Pratama, Benediktus Ivan (Unknown)
Putri, Endah R. M. (Unknown)



Article Info

Publish Date
31 Jul 2024

Abstract

In this study, we propose to determine option pricing by using Black-Scholes model numerically. The Keller box method, a numerical method with a box-shaped implicit scheme, is chosen to solve the problem of pricing stock options, especially European-put option. This option pricing involves several parameters such as stock price volatility, risk-free interest rate and strike price. The numerical stability of the method is checked using Von Neumann stability before the simulation is conducted. The influence of interest rates, volatility, and strike price on the option price state that the higher the value of the interest rate parameter, the lower the option price value, while the greater the value of stock price volatility and strike price, the higher the option price.

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Journal Info

Abbrev

jmua

Publisher

Subject

Computer Science & IT Mathematics

Description

Fokus dan Lingkup dari Jurnal Matematika FMIPA Unand meliputi topik-topik dalam Matematika sebagai berikut : Analisis dan Geometri Aljabar Matematika Terapan Matematika Kombinatorika Statistika dan Teori ...