Mathematical Finance

Course

Lecturers:
Andrea Molent (University of Udine)

Board Contact:
Andrea Molent

SSD: STAT-04/A

CFU: 3 CFU + assignment: 2 CFU 

Period: April 2025

Lessons / Hours: 4 lectures, 12 hours 

Program:

  1. Valuation of Financial Derivatives Under the Absence of Arbitrage Opportunities (1 hour)
    • Introduction to Derivatives
    • The Concept of Arbitrage
    • Valuation Techniques
    • Pricing Models
  1. The CRR (Cox-Ross-Rubinstein) Model (3 hours)
    • Introduction to the CRR Model
    • Construction of the Binomial Tree
    • Valuation of European and American Options
    • Extensions and Limitations
  1. The Black-Scholes Model (5 hours)
    • Introduction to the Black-Scholes Framework
    • Black-Scholes Formula for Option Pricing
    • Applications and Limitations
    • The Monte Carlo method
  1. Machine Learning Applications in Finance (3 hours)
    • Overview of Machine Learning in Finance
    • Gaussian Process Regression.
    • Some applications in Finance

Verification: Assignment

Prerequisites: Python or MATLAB programming