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QUANTITATIVE METHODS FOR FINANCE Single discipline educational activity
Course Sheet Academic Year of enrolment:
Disciplinary Sector:
MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Professor and Collaborators:
Hours of classroom activity:
Prerequisites:
A basic knowledge of General Mathematics, Statistics, Microeconomics and Macroeconomics, at an undergraduate level in Economics and Business Administration, are considered as a prerequisite for this course.
Objectives
Contents It is a basic course on financial markets, organized as follows:
- bonds and assets
- valuing bonds and assets
- financial return
- loans and mortgages
- the structure of interest rates and interest rate risk
- financial decision making.
Extended Syllabus - Spots. Zero coupon bonds. Financial indices
- Coupon bonds
- Assets. Financial portfolio
- Forward assets
- The ideal bond market. Arbitrages
- The spot price structure. The spot valuation
- Forward evaluation
- Financial return: linear law, exponential law, equivalent rates
- The internal rate of return
- Loans. Loan valuation: the case in constant payments
- Mortgage of the loan: French mortgage, Italian mortgage, pre- mortgage, deferral
- The structure of interest rates
- The forward rate structure
- The yield to maturity
- Time evolution of the interest rate structure
- A measure for interest rate risk: the duration
-Financial Immunization
- Elements of probability calculus
- Unpredictable assets
- The preference relation
- The representation theorem
- The principle of expected utility
- Differential properties of the utility functions.
Recommended Bibliography M. D’Amico, L. Peccati, E. Luciano “Calcolo finanziario: temi di base e temi moderni”, Egea 2011
C. Mari "Matematica per il management: gli strumenti finanziari", Libreria dell'Università editrice
F. Moriconi "Matematica finanziaria", Il Mulino 1995
Aldo Ventre «Decisioni utili» Editori riuniti 2004
Methods of Provision
Teaching Methods The teaching includes 54 hours of lessons, divided into 3 weekly lessons of 3 hours. The course will be carried out through frontal lectures and exercises.
Attendance is strongly recommended.
Evaluation methods Verification of learning:
The exam is an oral proof, based on the reference books, without differences between attending and not attending students.
Contacts/More Information All the information and didactical material will be put on e-learning page.
Erasmus students are invited to contact the Professor to have information about the program.