Mathematics for Economics and Finance
Scientific Disciplinary Sector (SSD)
MAT/09 - OPERATIONS RESEARCH
primo semestre (lauree) dal Sep 28, 2020 al Dec 23, 2020.
The aim of the course is to give the classical mathematical models and the basic fundamental tools for the evaluation of the principal financial operations.
The course provides the classical arguments from Financial Mathematics.
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. 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.
||Introduzione alla matematica finanziaria
The final exam will consist of a remote written test, according to the procedures currently provided for these types of tests, 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.