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Caltech

Pricing Options with Mathematical Models

This is an introductory course on options and other financial derivatives, and their applications to risk management. We will start with defining derivatives and options, continue with discrete-time, binomial tree models, and then develop continuous-time, Brownian Motion models. A basic introduction to Stochastic, Ito Calculus will be given. The benchmark model will be the Black-Scholes-Merton pricing model, but we will also discuss more general models, such as stochastic volatility models. We will discuss both the Partial Differential Equations approach, and the probabilistic, martingale approach. We will also cover an introduction to modeling of interest rates and fixed income derivatives. I teach the same class at Caltech, as an advanced undergraduate class. This means that the class may be challenging, and demand serious effort. On the other hand, successful completion of the class will provide you with a full understanding of the standard option pricing models, and will enable you to study the subject further on your own, or otherwise. Prerequisites. A basic knowledge of calculus based probability/statistics. Some exposure to stochastic processes and partial differential equations is helpful, but not mandatory. It is strongly recommended you take the prerequisites test available in Unit 0, to see if your mathematical background is strong enough for successfully completing the course. If you get less than 70% on the test, it may be more useful to work further on your math skills before taking this course. Or you can just do a part of the course.

状态:Applied Mathematics
状态:Finance
中级课程小时

精选评论

AB

5.0评论日期:Nov 20, 2023

Great course! I just felt it went a bit too quickly towards the end, but its a great course nevertheless.

PL

5.0评论日期:Sep 14, 2024

highly informational on option pricing models and highly recommend

GC

5.0评论日期:Sep 10, 2023

Great learning process, great videos, and great notes, but really, really hard work,

JC

5.0评论日期:Oct 14, 2024

Great course! Detailed, step by step instructions!

YW

4.0评论日期:Dec 20, 2021

nice course and nice professor. More examples, would be better.

SR

5.0评论日期:Oct 3, 2024

Really good foundational coverage of key option pricing concepts. Good additional industry knowledge + other relevant information such as implementation, history and context

AB

5.0评论日期:Jul 6, 2022

i​t was fantastic course with useful curriculum. Moreover, the problem sets were challenging and shed light on some dark issues. I really appriciate the professor Cvitanic as well!

所有审阅

显示:18/18

Oliver Thomas
3.0
评论日期:Jun 30, 2023
Alberto Gámez
1.0
评论日期:Jun 24, 2024
Sergey Milikisiyants
5.0
评论日期:Oct 17, 2021
Grim Gjønnes, at CIAS
5.0
评论日期:Sep 10, 2023
Alireza Bt
5.0
评论日期:Jul 7, 2022
Aditya Bawane
5.0
评论日期:Nov 21, 2023
Yi Wang
4.0
评论日期:Dec 21, 2021
Yunji Ha
4.0
评论日期:Mar 1, 2025
Gael Huser
5.0
评论日期:Jan 20, 2024
蔡景州
5.0
评论日期:Oct 14, 2023
Mikkel Christensen
5.0
评论日期:Jan 27, 2024
Shrey Rao
5.0
评论日期:Oct 4, 2024
Mattia Gaglio
5.0
评论日期:Mar 5, 2025
Miguel Angel Murillo Frias
5.0
评论日期:Aug 19, 2025
Peilin Luo
5.0
评论日期:Sep 14, 2024
Jilong Chen
5.0
评论日期:Oct 15, 2024
Brian Sim
5.0
评论日期:Jan 31, 2025
Zakariya Boutayeb
5.0
评论日期:Oct 28, 2024