Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea magistrale in Banca e finanza - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2020/2021
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Mathematical finance (2019/2020)
Teaching code
4S001142
Teacher
Coordinator
Credits
9
Language
Italian
Scientific Disciplinary Sector (SSD)
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Period
secondo semestre magistrali dal Feb 24, 2020 al May 29, 2020.
Learning outcomes
The course offers an introduction to arbitrage theory and its applications to financial derivatives pricing in discrete and continuous time.
Program
First part: No arbitrage principle in discrete time
1) Binomial model (one-period and multi-period)
a) Portfolio and no-arbitrage pricing
b) Contingent claims
c) Risk neutral valuation
2) The absence of arbitrage
3) First and Second Fundamental Theorems
4) Martingale pricing
5) Market completeness
Second part: No-arbitrage principle in continuous time
1) Stochastic calculus: stochastic differential equations (basics)
2) Martingales
3) Girsanov Theorem
4) Feynman-Kac Theorem
5) Self-financing portfolios
6) No-arbitrage pricing
7) The Black-Scholes formula and its derivation.
8) Delta-hedging
Textbooks and references
1) Bjork, T., Arbitrage theory in continuous time, 2nd Edition, Oxford University Press, 2004.
2) F. Menoncin: Mercati finanziari e gestione del rischio. Isedi, 2006.
| Author | Title | Publishing house | Year | ISBN | Notes |
|---|---|---|---|---|---|
| T. Bjork | Arbitrage theory in continuous time (Edizione 3) | Oxford University Press | 2009 | 978-0-199-57474-2 | |
| F. Menoncin | Mercati finanziari e gestione del rischio | Isedi | 2006 |
Examination Methods
There is a written test. In case the teacher has doubts on how to evaluate the student, the student is called for also an oral examination, which is compulsory
The test consists of practical exercises and theoretical questions, and can cover the whole programme of the course. The use of calculators is allowed during the test, while using notes or books or similar material is forbidden.
The exam is passed only if a mark of at least 18/30 is obtained.
