FINANCIAL MATHEMATICS
GENERAL OBJECTIVE
The course is in line with the general objective of the course of study to provide economic skills and mathematical-statistical techniques for an adequate understanding of the economic system and the functioning of financial markets. The course, in particular, aims at equipping students with the technical tools necessary for understanding financial phenomena.
SPECIFIC OBJECTIVES
To learn the basic concepts and tools of modern finance;
To know how to formulate and solve basic problems of modern finance.
RESULTS OF EXPECTED LEARNING
The student is expected to assimilate the fundamental notions of understanding the functioning of financial markets and of analyzing economic-financial phenomena; to adequately know the main economic and financial phenomena; to be able to correctly set and solve basic problems of modern finance; to be able to communicate effectively on economic and financial issues, using an appropriate technical language.
KNOWLEDGE AND UNDERSTANDING ABILITY
Knowledge
The course provides students with the knowledge and analytical tools needed to understand the functioning of financial markets and to analyze economic and financial phenomena.
Skills
The student must be able to interpret the main economic and financial phenomena. In particular he/she must be able to construct simple models to formulate and solve basic problems of modern finance on all the topics included in the course program.
Autonomy of judgment
The student must be able to independently assess the necessary information, to conduct surveys and to set up quantitative analysis of financial phenomena.
Communication skills
The student must be able to communicate effectively on economic and financial issues, using an appropriate technical language. The ability to communicate on a multidisciplinary level on economic-financial and mathematical-statistical topics is, in this respect, the main target of the course.
Ability to learn
The student must acquire a significant analytical ability and a well-founded quantitative survey method to be able to deal with subsequent teachings.
The course is a basic course on the modern finance theory that provides the economic notions and quantitative analysis tools needed to interpret financial phenomena. The teacher will adopt a unified point of view to deal with specific topics of market finance and corporate finance, such as the valuation of bonds, the valuation of stocks and the valuation of investment projects.
Interest rates.
Discounting.
Market rates: the term structure of interest rates; forward rates.
Internal Rate of Return (IRR).
Valuing bonds.
Valuing stocks.
Perpetuities and Annuities.
Valuing projects.
The Net Present Value (NPV) decision rule.
Interest rate risk (outlines).
The course topics are described more clearly in the chapters of the following reference texts:
J. Berk - P. De Marzo, Finanza Aziendale vol.1, Pearson. Chapters: 3 - 4 - 5 - 6 - 7 (paragraphs: 7.1; 7.2) - 9 (paragraphs: 9.1; 9.2);
C. Mari, Matematica per il management: gli strumenti finanziari (downloadable from the e-learning platform of the University). Chapters: 1 - 2 (paragraphs: 2.1; 2.2; 2.3) - 3 - 4 (paragraphs: 4.1; 4.3 excluding point 4.3.6) - 5 (paragraphs: 5.1 excluding point 5.1.2; 5.2 excluding point 5.2. 3) - 6 (only point 6.2.3).
J. Berk - P. De Marzo, Finanza Aziendale vol.1, Pearson.
C. Mari, Matematica per il management: gli strumenti finanziari (downloadable from the e-learning platform of the University).
The course structure is the following one: 48 hours of frontal lessons. The lessons include the progressive construction of the theoretical reference system with applications and examples.
The assessment of learning will be carried out passing a written test which involves the resolution of numerical exercises on the topics of the course. Students will be asked to illustrate the procedures followed in solving the exercises. The oral exam is optional (the student can decide to take the oral exam), or in the event of having to acquire further elements of evaluation. Further details on how the tests will be conducted will be provided in the classroom.
E-mail: carlo.mari@unich.it