•GUIDA ECONOMIA 07-08 - Università degli studi di Udine

prospectus pordenone
259
Two variable functions: level curves, surfaces
and intersection with planes. Limits
of two variable functions. First and second
order partial derivatives. Optimisation
of two variable functions. Constrained
optimisation.
Integrals: Riemann sums. Definite and
indefinite integrals. Rules of integration.
The fundamental theorem of calculus.
Improper integrals.
Bibliography
Recommended readings
- Theory and practical exercises provided
by the lecturer.
- R. ISLER, Matematica generale, edizioni
Goliardiche, Trieste.
- L. PECCATI, S. SALSA, A. SQUELLATI,
Matematica per l’Economia e per l’azienda,
Egea, Milano 2004.
- L. SCAGLIANTI, A. TORRIERO, Matematica.
Metodi e applicazioni, Cedam.
MATHEMATICS FOR FINANCE
Prof. Nando Prati
Contents
First Part. Mathematics of finance fundamentals
under certainty conditions. Elementary
financial transactions. Basic definitions:
interest, discount, final value,
present value, rates, factors. Financial
laws: homogeneity, uniformity, decomposability.
Financial rules: simple interest,
compound interest, simple discount.
Real rate of interest, nominal rate of
interest, force of interest, capitalization
factor and discount factor. Equivalent
rates. Spot and forward rates. The term
structure of interest rates.
Second Part. Taxonomy of annuities. Present
and future value of various types of
annuities (immediate-deferred, ordinarydue,
perpetuities, annuities payable k-
thly). Loan amortization. Amortization
schedule. Instalments. Amount of loan
repaid. Interest repaid. Globally repaid
debt. Outstanding principal. Amortization
methods: at maturity, with constant
amount of loan repaid, with constant
instalments.
Third Part. Projects under certainty. Net
Present Value (N.P.V.) and Internal Rate
(I.R.R.) of a project. Balance of a project
and outstanding capital. Net Present
Value decomposition in periodic results.
Uniqueness conditions for internal rate.
Investment and pure investment projects.
Acceptance criteria for a single
investment project. Choosing between
two investment projects. Comparison
between the Internal Rate of Return
(I.R.R.) criterion and the Net Present
Value (N.P.V.) criterion.
Bibliography
Recommended books
- F. PRESSACCO, P. STUCCHI, Elementi di
Matematica Finanziaria, Cedam, Padova,
2007.
Other readings
- F. CACCIAFESTA, Lezioni di matematica
finanziaria classica e moderna, third edition
revised, Giappichelli, Torino.
MICROECONOMICS
Prof. Renzo Turatto
Contents
The course provides an introduction to
microeconomics. Microeconomics is the
branch of economic theory which studies
economic systems starting from the
behaviour of individuals. In particular,
economic theory considers the interaction
among individuals who maximize
objective functions according to some criteria
of economic rationality. Therefore,
the main analytical tool used in this discipline
is differential calculus and the
mathematical theory of optimization.
Budget constraint (Chapter 2); Prefer-