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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 Mathematics, Statistics, Microeconomics and Macroeconomics, at an undergraduate level, 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
- 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: duration
- 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
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 total exam consists of a 90-minute written test and a subsequent oral exam. The written test consists of exercises regarding the main parts of the program. To access the oral exam it is necessary to reach a score of at least 15/30. The final evaluation, expressed in thirtieths, will take into account both proofs (70% of the written test and 30% of the oral exam).
The proofs start from 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.