Introduction à la théorie des produits dérivés
 /  Introduction à la théorie des produits dérivés
Introduction à la théorie des produits dérivés

Presentation: A derivative is any financial instrument, whose payoffs depend in a direct way on the value of an underlying asset at a time in the future. Derivatives are contracts

  • To buy or sell the underlying asset at a future time, with the price, quantity and other specifications defined today;
  • That give the right to buy or sell the underlying asset at a future time, with the price, quantity and other specifications defined today.

This course places emphasis on market operations and the valuations of forward, futures, swaps, and options contracts and their interrelations. Major topics of trading strategies include hedging, arbitrage and speculation, on stock index, interest rate instruments, commodities and foreign currencies.

Reference frame and scope: Capital Markets, Financial analysis departments, and Asset management equity, fixed income, commodities and forex.

Key concepts: Market organization, forwards, futures, options, margins, execution, delivery, pricing, valuation, hedging, arbitrage, speculation & strategy.

Learning objectives: At the end of the course, students should be able to do the followings:

1. Knowledge: Students will have an understanding of

  • The organization of derivative markets
  • The uses and market functions of financial derivatives
  • Basic theories on valuations of financial derivatives
  • The relationships of financial derivatives with other financial instruments
  • The concepts of hedging, arbitrage, and management of financial risks

2. Skills: Students will learn to

  • Use various basic financial functions and models in financial calculations
  • Use basic statistical and mathematical concepts in developing derivative strategies

3. Application abilities: Students will be able to

  • Formulate hedging, arbitrage, and speculative strategies with derivatives
  • Apply derivative pricing models to evaluate performances of financial assets and positions
  • Compare relative performances of various financial instruments and investment strategies
  • Evaluate the major effects of market (in)efficiencies

4. Values and Attitudes: Students will be able to

  • Understand the risk of the misuse and/or abuse of financial derivatives
  • Understand market failures caused by excessive risk-taking with financial derivatives

Method and course material: Slides are sent to students before the course.

Class preparation is critical to success in this course. As intermediate quizzes are organized, mastering the slides up to latest covered session is critical.

All mentioned Hull chapters (§) in the “course structure” section (below) are not always fully covered for this introductive course.

You are expected to:

  • Attend all 7 sessions
  • Master the slides and their embedded concepts
  • Refer to the referenced chapters on the Hull Options, Futures, and Derivative Securities for further understanding of the course material and cover them fully if you want to deepen your knowledge on the different topics.
  • Answer the following list of Hull’s end-of-chapter questions at home (French version):
    • 1, §2, §3, §4, §10: all questions
    • 5: questions 1 to 15
    • 7: questions 1 to 2
    • 11: questions 1 to 20
    • 12: questions 1 to 15
    • 25: questions 2, 12 and 17
    • 29: Question 2

The course is delivered in French & the course material is both in English (slides / Hull) and French (Hull).

Course structure: This 21-hour seminar is split in seven 3-hour classes.


  • Session 1 Introduction (Hull, §1 §2)


  1. What is a derivative instrument?
  2. Market participants
  3. OTC and exchange traded derivatives => Post 2008 regulation

Main derivative products

  1. Definitions and terminology
  2. Forwards commitments
  3. Contingent claims

Uses of derivatives

  1. Hedging, Arguments against hedging and Liquidity issues
  2. Speculation
  3. Arbitrage and Dangers
  • Session 2 Market & Organization (Hull, §2)


Execution: defining best execution, Benchmarks for execution and Types of orders



QUIZZ 1 (30 minutes)

  • Session 3 Future & Forwards pricing and P&L (Hull §3 §4 §5 §6)

Basis and choice of contract

Yield conventions (money market, bond market and equity market)

Fundamentals of Futures and Forwards pricing and P&L

  • Session 4 introduction to Swaps an Options pricing and P&L (Hull §7 §10 §11 §25 §29 §33)

Swaps overview

  1. Pricing principles
  2. First settlement


QUIZZ 2 (30 minutes)

Option fundamentals

  1. Put/call parity
  2. Factors influencing option prices
  3. Boundaries for option premiums
  4. Payoffs

Other option-based derivatives

  1. CDS fundamentals
  2. Caps and floors fundamentals
  3. Swaptions fundamentals
  • Session 5 derivative strategies (Hull §12 §19)

Hedge with Equity Futures

  1. Optimal hedge ratio using b

Hedge with commodity Futures

Hedge with Bond Futures

  1. Duration matching and duration-based hedge ratio
  2. Limitation of duration-based hedging

Option strategies: hedging and speculation

  1. The Greeks
  2. Long synthetic asset
  3. Covered call
  4. Protective put
  5. Other classical option strategies



Grading: A minimum mark of 10/20 on this seminar is required to validate the course.

Final score: 2 intermediate quizzes (weight = 2×20%) and a final exam (weight = 60%).

Exam material: Financial calculator (TIBA2+ preferred). Computers turned off. Printed material allowed (slides and Hull).

If a student misses one or two of the intermediate quizzes, his grade will be calculated as the sum of his other marks.

Please note that it is not possible to get a « make-up » for the final exam, without a very serious reason.


  • Core reference material
    • Hull, Options, Futures, and Derivative Securities, 10th ed. Pearson
    • French version: Hull Options, Futures et autres actifs dérivés, 9ème édition, Pearson
  • This course also maps most of the CFA level 1 “Derivatives” body of knowledge as well as some learning objectives of the CFA level 2 and Level 3 “Derivatives” body of knowledge. The reference book is:
    • Don M. Chance and Roberts Brooks, Introduction to derivatives and risk management, 9th ed. South-Western


  • Nathalie COLUMELLI
    CFA, diplomée de l'ESSEC (1987). Directrice Générale de Finance Training. Maître de conférences associé à l’Université Paris II Panthéon-Assas.


Adresse :

122, rue de Vaugirard
75006 Paris

L4 L6 L12 L13 Montparnasse
L10 L13 Duroc
L4 Saint-Placide
L12 Falguière

Téléphone :
+33 (0)1 53 63 80 76

Email :


Résultat admissibilité
11 juin 2024

Entretien d’admission
27 et 28 juin 2024

Résultats communiqués par courriel
29 juin 2024

Fin des inscriptions administratives
8 juillet 2024 (MBF1 et MBF2), 13 juillet 2024 (Master 2 TFB).

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