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Binomial Trees - FRM Part 1 - Valuation and Risk Models
New
9 students

Binomial Trees - FRM Part 1 - Valuation and Risk Models

Master Binomial Tree Option Pricing for FRM Part I
Created byMidha Fin
Last updated 7/2026
English

What you'll learn

  • Understand the concept and structure of the Binomial Tree Model for option pricing.
  • Learn how to value European and American options using one-period and multi-period binomial trees.
  • Calculate risk-neutral probabilities and apply them in option valuation.
  • Develop and analyze replicating portfolios and understand the no-arbitrage principle.
  • Price options on dividend-paying and non-dividend-paying stocks using the binomial framework.
  • Understand the valuation of futures and currency options using binomial trees.
  • Apply backward induction techniques to determine option values at each node.
  • Solve FRM-style numerical problems involving binomial tree option pricing with confidence.

Course content

1 section5 lectures1h 37m total length
  • Introduction8:31
  • One Step Trees : Generalization4:51
  • One Step Trees : Risk -neutral Probability12:19
  • Multi step Trees49:27
  • EOL21:52

Requirements

  • There are no mandatory prerequisites for this course. However, students will benefit from having:
  • A basic understanding of mathematics and probability.
  • Familiarity with the fundamentals of finance and financial markets.
  • Knowledge of the time value of money and introductory derivatives concepts (helpful but not required).
  • A calculator (preferably the Texas Instruments BA II Plus or HP 12C) for numerical examples.
  • A willingness to practice numerical problems and FRM-style questions.

Description

The Binomial Tree Model is one of the most important quantitative techniques used in derivatives valuation and is a key topic in the FRM Part I – Valuation and Risk Models (VRM) curriculum. This course is designed to help you develop a thorough understanding of binomial trees through clear explanations, step-by-step numerical examples, and extensive FRM-oriented practice.

The course begins with the fundamentals of the binomial framework, explaining how asset prices evolve over time and how binomial trees are constructed. You will then learn the principles of no-arbitrage pricing, replicating portfolios, and risk-neutral valuation, which form the foundation of modern option pricing.

As you progress, you will learn to value both European and American options using one-period and multi-period binomial trees. The course also covers option pricing for dividend-paying stocks, backward induction techniques, and the interpretation of option values at each node of the tree. Every concept is demonstrated with carefully worked-out examples to ensure both conceptual clarity and computational accuracy.

Special emphasis is placed on solving FRM-style numerical problems efficiently and avoiding common mistakes made by exam candidates. By the end of the course, you will be able to confidently construct binomial trees, calculate option prices, apply risk-neutral probabilities, and solve examination questions with speed and accuracy.

Whether you are preparing for the FRM Part I examination, pursuing a career in financial risk management, or simply looking to strengthen your understanding of derivatives and option pricing, this course will provide you with the knowledge and practical skills needed to master the Binomial Tree Model.

Who this course is for:

  • FRM Part I aspirants preparing for the Valuation and Risk Models (VRM) section.
  • Students who want to build a strong foundation in Binomial Tree option pricing.
  • Finance professionals looking to strengthen their understanding of derivatives valuation.
  • CFA, MBA, and finance students interested in quantitative methods for option pricing.
  • Anyone who wants to confidently solve FRM-style numerical problems on binomial trees and option valuation.