Insegnamento a.a. 2024-2025

20245 - ADVANCED DERIVATIVES

Department of Finance

Course taught in English

Student consultation hours
Class timetable
Exam timetable
Go to class group/s: 31
CLMG (6 credits - I sem. - OP  |  SECS-S/06) - M (6 credits - I sem. - OP  |  SECS-S/06) - IM (6 credits - I sem. - OP  |  12 credits SECS-S/06) - MM (6 credits - I sem. - OP  |  SECS-S/06) - AFC (6 credits - I sem. - OP  |  SECS-S/06) - CLELI (6 credits - I sem. - OP  |  SECS-S/06) - ACME (6 credits - I sem. - OP  |  SECS-S/06) - DES-ESS (6 credits - I sem. - OP  |  SECS-S/06) - EMIT (6 credits - I sem. - OP  |  SECS-S/06) - GIO (6 credits - I sem. - OP  |  SECS-S/06) - DSBA (6 credits - I sem. - OP  |  SECS-S/06) - PPA (6 credits - I sem. - OP  |  SECS-S/06) - FIN (6 credits - I sem. - OP  |  SECS-S/06) - AI (6 credits - I sem. - OP  |  SECS-S/06)
Course Director:
CLAUDIO TEBALDI

Classes: 31 (I sem.)
Instructors:
Class 31: CLAUDIO TEBALDI


Suggested background knowledge

Knowledge of basic calculus and statistics is recommended

Mission & Content Summary

MISSION

The course is aimed at gaining a more advanced knowledge of financial derivatives. In the first half of the course the basic principles of no arbitrage valuation are bridged with the trading practices of plain vanilla options and market volatility estimation and pricing. A central role is played by the explanation of the procedure which is currently applied to build a Volatility Index using a portfolio of quoted options. The notion of implied volatility surface and their dynamical evolution is introduced analyzing the class of local volatility market models. The second half of the course focuses on the Heston Stochastic Volatility Model (HSVM). A general pricing methodology for plain vanilla and exotic contracts are discussed. Then the HSVM is used to illustrate some practical applications of financial derivatives in investment banking and in the asset management industry. Computer sessions complement classroom activities.

CONTENT SUMMARY

  • From theory to practice: pricing and trading option contracts.
  • Market expectations, implied volatility and the volatility index.
  • Volatility in Decentralized Financial Markets
  • Local volatility modeling.
  • The limits of the Black-Scholes model: stochastic volatility.
  • Pricing in stochastic volatility models: a stochastic calculus approach.
  • The Heston Stochastic Volatility Model (HSVM).
  • Closed-form formulas in the HSVM Direct modelling of implied volatility evolution.

Intended Learning Outcomes (ILO)

KNOWLEDGE AND UNDERSTANDING

At the end of the course student will be able to...
  • Analyze real market situations and select best derivative hedging and valuation policies.

APPLYING KNOWLEDGE AND UNDERSTANDING

At the end of the course student will be able to...
  • Work out a formal quantitative valuation approach to the use of derivative products to asset management and general analysis of contingent claims market prices.

Teaching methods

  • Lectures
  • Guest speaker's talks (in class or in distance)
  • Collaborative Works / Assignments

DETAILS

Group assignment is necessary to improve the problem solving abilities of the students.


Assessment methods

  Continuous assessment Partial exams General exam
  • Written individual exam (traditional/online)
   x x
  • Collaborative Works / Assignment (report, exercise, presentation, project work etc.)
 x    

ATTENDING AND NOT ATTENDING STUDENTS

The Group assignment is optional.


Teaching materials


ATTENDING AND NOT ATTENDING STUDENTS

Lecture Notes and Slides available on E-learning.

Further reading, we suggest a classical text-book on advanced option pricing:

  • J. GATHERAL, The Volatility Surface: A Practitioner’s Guide, Wiley, 2006.
Last change 15/07/2024 10:22