# Mathematics for Economics and Finance (2019/2020)

### Course partially running (all years except the first)

Course code
4S02835
Name of lecturer
Alberto Peretti
Coordinator
Alberto Peretti
Number of ECTS credits allocated
6
MAT/09 - OPERATIONS RESEARCH
Language of instruction
Italian
Location
VICENZA
Period
First semester bachelor degree dal Sep 16, 2019 al Jan 10, 2020.

#### Learning outcomes

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.

#### Syllabus

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.

Teaching supply
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.

 Author Title Publisher Year ISBN Note A.Basso-P.Pianca Introduzione alla matematica finanzia CEDAM 2010

#### Assessment methods and criteria

In order to pass the exam students are asked to pass a written exam, followed by an oral exam is in case of a non full sufficiency. The exam is in Italian.

Intermediate test

Students have the possibility, after a half of the course, to pass a partial written exam, that will count for the final passing.
The intermediate test is discretionary and it does not prevent the student from refusing the result and taking the full exam. The student that passes the intermediate test may complete the exam by passing a similar final written test. The final score will be the mean of the two. An oral exam may be required again in case of a non full sufficiency.
The subjects of the intermediate test will be specified in advance in the course web page [http://cide.univr.it/aperetti/mdef/corso_mdef.html]. These subjects will be kept out the final test.
Students that pass the intemediate test may take the final test within the winter session.

The intermediate test is scheduled with the intent that students tackle from the beginning the subject matter in a regular and systematic way. They can get the advantage of passing one half of the exam. The intermediate test, in case of a failure, may also be useful to give important hints on what went wrong.

Further details may be found on the course web page.