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 in Economia e commercio - 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. 2024/2025
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3° Year activated in the A.Y. 2025/2026
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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.
Financial mathematics (2025/2026)
Teaching code
4S00393
Academic staff
Coordinator
Credits
9
Language
Italian
Scientific Disciplinary Sector (SSD)
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Period
Primo semestre L dal Sep 22, 2025 al Dec 18, 2025.
Courses Single
Authorized
Learning objectives
The objectives of the course are the introduction of the pillars of financial contracts and the quantitative method for their management, to be developed to the foundations of fixed income and portfolio management. The course will introduce the basic jargon in finance, as well as the main concepts underlying asset valuation and assessment of risk. At the same time, the course will develop quantitative methods, which will be useful for advanced courses in finance.
At the end of the course, the student is expected to be able to perform operations involving the financial instruments explained in class, and to understand the theoretical ideas illustrated in the course.
Basic knowledge of mathematics and statistics is strongly recommended.
Prerequisites and basic notions
Mathematics, in particular: real functions of a real variable, elementary functions (powers, exponential, logarithm), their properties (in particular monotonicity, continuity, differentiability), derivatives of elementary functions, derivatives of the sum of functions, of the difference, of the product, of the quotient, of compositions
Program
1. Financial activities under certainty
1.1 Financial activities
1.2 Financial laws
1.3 Compounded activities
1.4 Properties of financial laws
1.5 Annuities, PAC
1.6 Amortization of a debt and other compounded activities.
1.7 Internal rate of return
1.8 Numerical methods for solving equations
2. The bond market
2.1 Perfect markets. The principle of no arbitrage.
2.2 Fair price of a bond
2.3 Term structure of the ZCB prices
2.4 Term structure of the interest rates
2.5. Forward rates, FRA and elementary SWAP
2.6 The variable rate mortgage
2.7. Interest rate risk: duration, financial immunization, ALM 3. Models for the stock market
3.1. Random financial activities. Return and risk.
3.2. The investment in two risky securities.
3.3. Portfolio selection models.
3.4. Stock Valuation Models.
Bibliography
Didactic methods
Lectures and exercises in the classroom.
The course aims to introduce the main quantitative models for the analysis, evaluation and management of financial assets, and provides the fundamental elements for the quantitative study of the finance of bonds and shares. The student will have the opportunity to learn the terminology and concepts suitable for understanding and using the tools of financial mathematics. The critical ability to describe and develop the basic models of finance will be stimulated with particular attention to the management of the risk-return profile of a financial asset. At the same time, the course develops the main quantitative methodologies useful as a basis for participation in advanced finance courses.
Learning assessment procedures
Written test and possible oral test. The oral test is:
- optional if the written test grade is greater than or equal to 20/30,
- mandatory if the written test grade is between 15/30 and 18/30.
The exam is considered failed if the written test grade is lower than 15/30. During the test, the use of the course form and a non-programmable calculator is permitted. It is not possible to consult other materials or use IT equipment (PC, tablet, smartphone, smartwatch), under penalty of cancellation of the exam and possible reporting to the Rector.
A mid-term test is scheduled, held in the week established by the academic calendar (in which lessons are interrupted). The mid-term test focuses on the topics covered up to the week before the test, and is assessed with a grade out of 30. If the test is sufficient, the student is entitled to take a reduced written test to complete the exam. Further details are provided in the practical guide on the course moodle page
Evaluation criteria
The ability to solve the exercises, the knowledge of the basic definitions, the awareness of the relationships between basic concepts and financial interpretation will be considered fundamental.
Criteria for the composition of the final grade
Overall assessment of the written exam and any oral exam
Exam language
Italiano
