Interest Rate Derivatives, October-December 2021

Department of Statistics and Quantitative Methods, UniversitĂ  di Milano-Bicocca

e-learning: https://elearning.unimib.it/course/view.php?id=37838

If you have an e-mail @campus.unimib.it please join the 202110-bicocca channel in the Slack IRD-Bicocca workspace using your first and last name (no nicknames) and a profile picture. Updates and conversations about the course will be posted in the Slack channel.

Learning objectives

The course has a practitioner approach, presenting the current market best practices, often not yet documented in textbooks. Lecturers from the street are invited: traders, risk-managers, quants, consultants. The course aims to provide the students with the knowledge usually tested when applying for investment banks in the interest rate derivatives area.

Contents

The course is about the valuation of derivative products (linear, plain vanillas, and exotics) and presents the main Interest Rate and Credit models, with special emphasis on rate/credit curve construction and collateralization issues.

  • FRA, Futures, and Swaps
  • Rate curve bootstrapping in multi-curve regimes
  • Black Model and its shifted log-normal variants
  • Interest rate volatility: par, forward, no-arbitrage, and SABR model
  • Term structure models: equilibrium, no-arbitrage, short rate, and market models
  • Caps and Floors, Swaptions, and Bermudan Swaptions
  • Credit Default Swaps
  • Credit curve bootstrap
  • Counterparty risk: clearing, collateralization, and XVA valuation adjustments
  • Market risk management: greeks and static replica of structured products

Prerequisites

Derivatives, stochastic processes, risk measures

Teaching method

Textbooks and Reading Materials

  • John Hull, Options, Futures and Other Derivatives, 10th edition
  • Paul Wilmott, on Quantitative Finance

Teaching language

English if foreign students are present, else Italian.

Exam

Students attending the lessons are asked to solve some assignments. Assignments have a deadline and are not required/allowed for students that did not actively partecipate to the semester didactical activity.

Assignments can be tackled cooperatively by team of students, up to three students. Successful assignments will contribute up to five points to the final grade.

Please send the assignments to the e-mail that will be indicated with subject IRD202110 #1 for the first assignment, IRD202110 #2 for the second assignment, etc.

The final oral exam will be individual.

Lessons’ calendar and material

Workshops are with Paolo Mazzocchi, assistant lecturer (material).

  1. TBD
    Interest Rate Basics (slides)
  2. TBD
    Workshop on Interest Rate Basics
    Assignment #1: fill in the Excel spreadsheet (deadline: TBD)
    Assignment #2: fill in the Excel spreadsheet (deadline: TBD)
    Assignment #3: fill in the Excel spreadsheet (deadline: TBD)
  3. TBD
    Rate Curves Calibration (slides)
  4. TBD
    Workshop on Rate Curve Calibration
    Assignment #4: fill in the Excel spreadsheet (deadline: TBD)
  5. TBD
    Black Model (slides)
  6. TBD
    Volatility (slides)
    Guest lecturer: Nicola Moreni
  7. TBD
    Caps and Floors (slides)
    Guest lecturer: Carlo Clerici
  8. TBD
    Workshop on Caps/Floors
    Assignment #5: fill in the Excel spreadsheet (deadline: TBD)
  9. TBD
    Swaptions, Structured Products, and Hedging (slides)
  10. TBD
    Workshop on Greeks and Hedging
    Assignment #6: fill in the Excel spreadsheet (deadline: TBD)
  11. TBD
    Trading Obbligazionario (slide)
    Guest lecturer: Andrea Bugin
  12. TBD
    Interest Rate Models (slides)
  13. TBD
    Workshop on Swaptions and Bermudan Swaption
    Assignment #7: fill in the Excel spreadsheet (deadline: TBD)
  14. TBD
    Credit Derivatives (slides)
    Counterparty Risk and Collateral Protection (pdf)
    Overview of Central Clearing (pdf)
  15. TBD
    Workshop on Credit Curve Bootstrapping and Credit Default Swaps
    Assignment #8: fill in the Excel spreadsheet (deadline: TBD)
  16. TBD
    XVAs: Introduction to Valuation Adjustments (slides)
    Guest lecturer: Andrea Prampolini
  17. TBD
    The Reform of Benchmark Interest Rate Indexes and Its Impact on Derivative Pricing (slides-1, slides-2)
    Guest lecturers: Maria Cristina Lege and Luigi Cefis