Comparative performance analysis of Monte Carlo simulation variance reduction techniques in the context of ordinary and exotic options pricing

Yasa, Putu Merta (2023) Comparative performance analysis of Monte Carlo simulation variance reduction techniques in the context of ordinary and exotic options pricing. Bachelor thesis, Universitas Pelita Harapan.

[thumbnail of Title]
Preview
Text (Title)
Title.pdf
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (304kB) | Preview
[thumbnail of Abstract]
Preview
Text (Abstract)
Abstract.pdf
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (622kB) | Preview
[thumbnail of ToC]
Preview
Text (ToC)
ToC.pdf
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (755kB) | Preview
[thumbnail of Chapter1]
Preview
Text (Chapter1)
Chapter1.pdf
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (692kB) | Preview
[thumbnail of Chapter2] Text (Chapter2)
Chapter2.pdf
Restricted to Registered users only
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (1MB)
[thumbnail of Chapter3] Text (Chapter3)
Chapter3.pdf
Restricted to Registered users only
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (831kB)
[thumbnail of Chapter4] Text (Chapter4)
Chapter4.pdf
Restricted to Registered users only
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (2MB)
[thumbnail of Chapter5] Text (Chapter5)
Chapter5.pdf
Restricted to Registered users only
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (664kB)
[thumbnail of Bibliography]
Preview
Text (Bibliography)
Bibliography.pdf
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (661kB) | Preview
[thumbnail of Appendices] Text (Appendices)
Appendices.pdf
Restricted to Repository staff only
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (4MB)

Abstract

Options, as crucial derivative assets, enable the diversification of investment strategies. The pricing of exotic options, particularly those with novel features, relies heavily on Monte Carlo simulation (MCS), an ostensibly simplistic yet central method even amidst advanced methodologies. The focus of this thesis is variance reduction techniques (VRT), a class of strategies aimed at enhancing MCS performance through diminishing the variance of simulation outcomes. A comprehensive comparative analysis of several VRT models, including the traditional antithetic and control variates, an innovative non-parametric importance sampling, and combined models fusing antithetic variates and importance sampling, is undertaken. This investigation spans diverse option styles, from conventional European options and American puts, to more specialized exotic options like rebate deferred and knock-in barrier options, employing bespoke techniques like the Longstaff-Schwarz algorithm for American put continuation value computation, and continuity correction for Barrier options. Performance evaluation of each VRT models is based on three critical metrics: accuracy, precision, and time efficiency. Moreover, the analysis is broadened to incorporate sensitivity to volatility parameters, convergence analysis, and control variate optimization methods. The determination of the superior model is complex, considering varying researcher preferences. Thus, a decision framework integrating Von Neumann-Morgenstern (VNM) utility theory and logistic transformation is implemented to accommodate researcher preferences across the three metrics, thereby aiding in the selection of the most effective VRT model.
Item Type: Thesis (Bachelor)
Creators:
Creators
NIM
Email
ORCID
Yasa, Putu Merta
01112170031
seralthia@gmail.com
UNSPECIFIED
Contributors:
Contribution
Contributors
NIDN/NIDK
Email
Thesis advisor
Margaretha, Helena
NIDN0312057504
helena.margaretha@uph.edu
Thesis advisor
Krisnadi, Dion
NIDN0316029002
dion.krisnadi@uph.edu
Uncontrolled Keywords: Monte Carlo simulation (MCS); variance reduction techniques (VRT); options; antithetic variates; control variates; importance sampling; VNM utility; decision framework
Subjects: Q Science > QA Mathematics
Divisions: University Subject > Current > Faculty/School - UPH Karawaci > Faculty of Science and Technology > Mathematics
Current > Faculty/School - UPH Karawaci > Faculty of Science and Technology > Mathematics
Depositing User: Putu Merta Yasa
Date Deposited: 10 Aug 2023 10:22
Last Modified: 10 Aug 2023 10:25
URI: http://repository.uph.edu/id/eprint/57538

Actions (login required)

View Item
View Item