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Massachusetts Institute of Technology

Topics in Mathematics with Applications in Finance

Massachusetts Institute of Technology via MIT OpenCourseWare

Overview

The purpose of the class is to expose undergraduate and graduate students to the mathematical concepts and techniques used in the financial industry. Mathematics lectures are mixed with lectures illustrating the corresponding application in the financial industry. MIT mathematicians teach the mathematics part while industry professionals give the lectures on applications in finance.

Syllabus

1. Introduction, Financial Terms and Concepts.
2. Linear Algebra.
3. Probability Theory.
5. Stochastic Processes I.
6. Regression Analysis.
7. Value At Risk (VAR) Models.
8. Time Series Analysis I.
9. Volatility Modeling.
10. Regularized Pricing and Risk Models.
11. Time Series Analysis II.
12. Time Series Analysis III.
13. Commodity Models.
14. Portfolio Theory.
15. Factor Modeling.
16. Portfolio Management.
17. Stochastic Processes II.
18. Itō Calculus.
19. Black-Scholes Formula, Risk-neutral Valuation.
20. Option Price and Probability Duality.
21. Stochastic Differential Equations.
23. Quanto Credit Hedging.
24. HJM Model for Interest Rates and Credit.
25. Ross Recovery Theorem.
26. Introduction to Counterparty Credit Risk.

Taught by

Dr. Peter Kempthorne , Dr. Choongbum Lee , Dr. Vasily Strela and Dr. Jake Xia

Reviews

4.5 rating, based on 2 Class Central reviews

Start your review of Topics in Mathematics with Applications in Finance

  • Paul-Louis Käckell
    ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎…
  • Justin Iheakanwa
    Great course.I was exposed to some mathematical concepts used in finance.I am happy to partake in this course and am grateful to the organizers.

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