Matematika dalam Dunia Keuangan: Dari Kriptografi Hingga Trading Algoritmik

Authors

  • Sigit Perdana Program Studi Pendidikan Matematika, Universitas Pendidikan Mandalika, Indonesia

DOI:

https://doi.org/10.70716/josme.v1i1.149

Keywords:

Financial Cryptography, Algorithmic Trading, Financial Mathematics, Risk Management, Quantitative Analysis

Abstract

Mathematics plays a crucial role in the modern financial world, where mathematical concepts are used to model and manage risk, optimize portfolios, and design complex financial instruments. This article discusses various applications of mathematics, ranging from probability theory and statistics to calculus and linear algebra, in the realm of finance. One of its main applications is in cryptography, which involves mathematical techniques to secure digital transactions and personal data. Additionally, mathematics-based trading algorithms, which utilize predictive models and big data analysis, are increasingly used by investors to maximize profits and minimize losses. The article also explores the relationship between option pricing theory and stochastic models used to predict stock price movements. Thus, mathematics not only provides a theoretical foundation but also practical tools that enable financial markets to operate efficiently and securely.

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References

Nakamoto, S. (2008). Bitcoin: A Peer-to-Peer Electronic Cash System. White paper. URL: https://bitcoin.org/bitcoin.pdf

Shamir, A. (1985). Identity-Based Cryptosystems and Signature Schemes. Proceedings of the Crypto Conference, 47-53.

Chan, S. H., & Lin, H. (2008). Cryptographic Protocols in Electronic Transactions: Theory and Practice. Journal of Financial Technology, 3(2), 98-115.

Aït-Sahalia, Y., & Saglam, M. (2014). High-Frequency Trading and Volatility in Financial Markets. Journal of Financial Economics, 113(2), 211-229.

Kearns, M., & Nevmyvaka, Y. (2006). Machine Learning for Trading. Proceedings of the ACM Conference on Computational Finance, 13(1), 101-112.

Harvey, C. R., & Liu, Y. (2019). The Theory and Practice of Algorithmic Trading. Journal of Financial Economics, 132(2), 370-384.

Chou, P. H., & Kuo, S. Y. (2011). Cryptography and Financial Applications: A Survey of Modern Methods. International Journal of Financial Engineering, 4(3), 58-74.

Diffie, W., & Hellman, M. E. (1976). New directions in cryptography. IEEE Transactions on Information Theory, 22(6), 644-654.

Satoshi, N. (2009). Bitcoin: The Blockchain Technology behind Cryptocurrencies. Retrieved from https://www.bitcoin.org

Fama, E. F. (1970). Efficient capital markets: A review of theory and empirical work. Journal of Finance, 25(2), 383-417.

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Published

2025-03-05

How to Cite

Perdana, S. (2025). Matematika dalam Dunia Keuangan: Dari Kriptografi Hingga Trading Algoritmik. Journal of Science and Mathematics Education, 1(1), 6–9. https://doi.org/10.70716/josme.v1i1.149