Advances in Economics, Management and Political Sciences

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Proceedings of the 3rd International Conference on Business and Policy Studies

Series Vol. 66 , 05 January 2024


Open Access | Article

Volatility, Uncertainty, and Option Pricing

Bingqi Liu * 1
1 Wuhan University

* Author to whom correspondence should be addressed.

Advances in Economics, Management and Political Sciences, Vol. 66, 108-120
Published 05 January 2024. © 2023 The Author(s). Published by EWA Publishing
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citation Bingqi Liu. Volatility, Uncertainty, and Option Pricing. AEMPS (2024) Vol. 66: 108-120. DOI: 10.54254/2754-1169/66/20241213.

Abstract

Amidst global and Chinese uncertainties, this paper delves into stock market volatility and option pricing within the current economic policy context. Focusing on China's stock market, it calculates returns and volatility changes in key indices, analyzing differences among indices and funds, along with temporal variations. Shared data characteristics and reflections on new market trends emerge. Employing methods such as the GARCH model, Black-Scholes formula, and Monte Carlo algorithm, it analyzes volatility and option pricing using extensive annual and monthly data. Visualizations showcase market change patterns. The study defines volatility as a measure of financial asset price fluctuation extent, reflecting asset risk. Higher volatility indicates pronounced price fluctuations and uncertainty, while lower volatility signifies smoother fluctuations and greater certainty. Merging data with volatility's significance, the study probes China's securities market uncertainty, investigating the link between option pricing and volatility. It concludes by identifying the connection between volatility, uncertainty, and option pricing, pointing to future research directions and challenges. Future work will track the latest market trends to enrich understanding.

Keywords

volatility, GARCH model, Monte Carlo algorithm, Black-Scholes pricing formula, uncertainty

References

1. He, C. L., Wang, P., & Liu, M. (2020). Pricing Intervals for European Options under Knightian Uncertainty. Journal of Management Sciences in China, 23(03), 116-126.

2. Han, L. Y., & Pan, M. (2012). Option Pricing with Knightian Uncertainty and Stochastic Volatility. Systems Engineering-Theory & Practice, 32(06), 1175-1183.

3. Liu, Z. D., Liu, W. Y., & Ruan, Y. M. (2019). Option Pricing under Non-Gaussian OU Stochastic Volatility Driven by Levy Processes. Journal of Management Sciences in China, 22(01), 17-43.

4. Hwan, D. O., & Yang-Ho, P. (2023). GARCH Option Pricing with Volatility Derivatives. Journal of Banking and Finance, 146.

5. Jing, N., Chao, M., Yunpeng, W., et al. (2022). The Pricing of China Stock Index Options Based on Monetary Policy Uncertainty. Journal of Asian Economics, 81.

6. Gu, X. Y. (2023). Monte Carlo Method for Pricing Exotic Options under Stochastic Volatility Models. Practice and Understanding of Mathematics, 53(04), 174-183.

7. Tang, J. H., Zhang, L. D., & Du, Z. P. (2023). Pricing of Spread Options under the Vasicek-Ornstein-Uhlenbeck Model. Acta Scientiarum Naturalium Universitatis Nankaiensis, 56(03), 6-12.

8. Longjin, L., Changjuan, Z., & Luna, W. (2022). Option Pricing under the Subordinated Market Models. Discrete Dynamics in Nature and Society, 2022.

9. Jiang, L. N., & Chen, Y. Z. (2022). Pricing of SZSE 50 ETF Options Based on Merton Jump-Diffusion Model. China Price, 2022(12), 65-67+84.

Data Availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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Volume Title
Proceedings of the 3rd International Conference on Business and Policy Studies
ISBN (Print)
978-1-83558-263-3
ISBN (Online)
978-1-83558-264-0
Published Date
05 January 2024
Series
Advances in Economics, Management and Political Sciences
ISSN (Print)
2754-1169
ISSN (Online)
2754-1177
DOI
10.54254/2754-1169/66/20241213
Copyright
05 January 2024
Open Access
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

Copyright © 2023 EWA Publishing. Unless Otherwise Stated