Computational Methods in Pricing and Model Calibration

Discover computational methods in option and interest rate pricing, product pricing, and model calibration.

Modules/Weeks

6

Weekly Effort

8-10 hours

Discipline

Format

Cost

$99.00

Course Description

  • Utilize stochastic models effectively to value complex financial derivatives, such as options, swaps, forwards, and futures.
  • Formulate modeled returns and risks for significant asset classes and portfolios by employing a data-driven approach.
  • Analyze interest rates and interest rate instruments through two parts of the course, gaining in-depth knowledge of their pricing and risk management techniques.

Course Prerequisites

  • Intermediate to advanced undergraduate courses in probability and statistics, linear algebra, calculus, and optimization
  • Excel and Python for programming questions
  • Basic knowledge of introductory finance
  • Start with "Intro to Financial Engineering and Risk Management" to solve financial engineering problems in academic and industrial settings

What You Will Learn

By the end of this course, learners will be able to:

 

  • Value complex financial derivatives, including options, swaps, forwards, and futures, utilizing stochastic models effectively.

  • Formulate modeled returns and risks for significant asset classes and portfolios using a data-driven approach.

  • Implement trading models and signals in an active trading environment and conduct backtesting for validation.

  • Price and analyze financial products using Python codes, gaining proficiency in numerical techniques, model calibration, interest rate products, and regression techniques for real-world applications.

 

Course Outline

 

Module 1 Option pricing and numerical approach

Module 2 Model calibration

Module 3 Interest rates and interest rate instruments part I

Module 4 Interest rates and interest rate instruments part II

Instructors

Headshot of Prof Iyengar
Garud Iyengar
Tang Family Professor of Industrial Engineering and Operations Research; Senior Vice Dean of Research and Academic Programs

Dr. Garud Iyengar is the Tang Family Professor of Industrial Engineering and Operations Research and Senior Vice Dean of Research and Academic Programs. His research is dedicated to understanding uncertain systems and exploiting available information using data-driven control and optimization algorithms. Iyengar's research group has explored diverse fields such as machine learning, systemic risk, asset management, operations management, sports analytics, and biology. They are currently working on several projects, including thermodynamics of sensing and memory in cells, automatic defensive assignment and event detection in NBA games, and attribution schemes for allocating payment in multi-channel advertising. Additionally, they are working on systemic risk associated with extreme weather, a deep neural-network-based framework for interpretable robust decision making, and an NLP-based model for predicting stock performance using news reports. Iyengar received his B Tech in electrical engineering from the Indian Institute of Technology in 1993 and his PhD in electrical engineering from Stanford University in 1998. He is also a member of Columbia's Data Science Institute.

Headshot of Prof Hirsa
Ali Hirsa
Professor of Professional Practice, Industrial Engineering and Operations Research

Professor Ali Hirsa joined IEOR as a faculty member in July 2017, having previously served as an Adjunct Professor at Columbia University since 2000. In addition to his academic work, he is also Managing Partner at Sauma Capital, LLC, a New York Hedge Fund. Prior to this, he held a range of quantitative positions at firms such as Morgan Stanley, Banc of America Securities, and Prudential Securities. His research focuses on machine learning applications in finance, asset management, signal extraction from data, and other areas of computational and quantitative finance. Ali is the author of several publications, including “Computational Methods in Finance” and “An Introduction to Mathematics of Financial Derivatives”. He is also the Co-Editor-in-Chief of Journal of Investment Strategies and has spoken at various academic and practitioner conferences. Ali is a co-inventor of the "Methods for Post Trade Allocation" patent, which aims to create a fair and unbiased method for allocating filled orders to multiple managed accounts. Ali received his PhD in Applied Mathematics from the University of Maryland at College Park.

Headshot of Prof Haugh
Martin Haugh
Associate Professor of Analytics and Operations Research

Martin Haugh is an Associate Professor at Imperial College Business School, having previously spent over a decade in the Department of IE & OR at Columbia University and four years in the hedge fund industry in New York and London. He holds a PhD in Operations Research from MIT and MS degrees in Mathematics and Applied Statistics from Cork and Oxford, respectively. Before joining Imperial College, he served as an Associate Professor of Practice at Columbia University. Martin's research focuses on computational finance and risk management, Markov Decision Processes, sub-optimal control, and machine learning/business analytics/"big data". He has recently begun working on research projects in the machine learning and business analytics space.

Please note that there are no instructors or course assistants actively monitoring this course.

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