Mathematics for Economics and Finance
Scientific Disciplinary Sector (SSD)
MAT/09 - OPERATIONS RESEARCH
primo semestre (lauree) dal Sep 20, 2021 al Jan 14, 2022.
The teaching aims to provide knowledge of basic quantitative tools and classic mathematical models for the analysis and evaluation of the main economic-financial operations, of the financing contracts and investment projects, tools and models that can be used for an efficient business management. At the end of the lessons, the student must be able to correctly represent an economic and financial problem in a mathematical model, evaluating it so it takes into account the right hypotheses, the correct choice of the mathematical expressions and the correct methodology for solving the problem; therefore, the teaching aims to develop the capacity for autonomous reasoning in the analysis and interpretation of concrete problems.
1. Basic financial laws
Basic financial operations. Capitalization and actualization. Final value, present value, interest, discount, interest rate, discount rate. Simple interest law. Composed interest law. Equivalence among different laws. Equivalent interest rates. Nominal rates, inflation, real rates.
2. Composed financial operations
Present and final value of a financial annuity. Net present value. Internal rate of return (IRR). Evaluation of the amount of payments, of the number of payments, of the IRR. Annual nominal rate and annual percentage rate. Amortizations in various different forms. Leasing contracts. Bonds and their evaluation. BOT and BTP. Duration and convexity.
Choice between financial projects with different criteria (NPV, IRR, TRM).
The detailed program and further educational material, in Italian, are available in the web page and in the e-learning page of the course.
The course consists of 48 hour lectures (equivalent to 6 credits), devoted both to the general aspects of the financial models and to the solution of computational problems. Both lessons and exercises are in Italian.
In the web page of the course students may find some lecture notes and all the exams proposed in the previous exam sessions with the relative solutions. In the e-learning pages students may find the exercise lectures with the solutions. The whole teaching material is in Italian.
During the lesson semester and before the exam sessions there is a tutoring service (also in Italian), organized by senior students, trained by the teachers.
Visualizza la bibliografia con Leganto, strumento che il Sistema Bibliotecario mette a disposizione per recuperare i testi in programma d'esame in modo semplice e innovativo.
The final exam will consist of a written test, possibly followed by an oral test only in cases of non-serious insufficiency in the written test (grade between 16/30 and 17/30 ).
The test includes 3-4 numerical exercises, divided into several questions.