Mathematics for Economics and Finance (2015/2016)

Course partially running (all years except the first)

Course code
4S02835
Credits
6
Coordinator
Francesco Rossi
MAT/09 - OPERATIONS RESEARCH
Language of instruction
Italian
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
lezione 4 primo semestre Francesco Rossi
esercitazione 2 primo semestre Francesco Rossi

Lesson timetable

primo semestre
Activity Day Time Type Place Note
lezione Monday 8:30 AM - 10:10 AM lesson Lecture Hall B
lezione Tuesday 5:20 PM - 7:00 PM lesson Lecture Hall B
lezione Thursday 3:40 PM - 5:20 PM lesson Lecture Hall B

Learning outcomes

The course introduces the basic quantitative tools for the analysis and evaluation of key financial transactions, contracts and financing of investment projects both financial and business management.

Prerequisites
While there will be no formal prerequisites to make profitable learning, you should have already passed the exam of Mathematics, the first year, and of Statistics, in the second year.

Syllabus

Financial transactions: capitalization and discounting. Financial laws: upright, present value, interest, discount, interest rate and discount rate. Regime of simple interest, capitalization several times a year, compound, the discount trade. Interest rates equivalent to periods other than the year. Financial arbitrage, severability of financial laws, spot rate, forward rates. Force of interest. Currency transactions. Nominal interest rates, inflation, real interest rates.

2. Compound Financial transactions
Financial transactions and their classification. Current value and upright of a set of financial movements. Net present value (NPV or NPV). Evaluation of the installment, the number of installments, the implicit rate (IRR). Consumer credit, TAN and APR. Amortization schedules and closing conditions. Straight-capital basis, in equal installments on a straight interest paid in advance, with shares of accumulation. The pre-amortization. Early repayment of a mortgage. Rate mortgages indexed. Financial leasing. Savings plans.
Bonds and evaluation of the price of a bond, estimates of the term structure of interest rates. Control / hedging of interest rate risk: duration and convexity.
Criteria for choosing between operations / financial projects: NPV, IRR, TRM, WACC.

3. Select Portfolio with two risky assets
Recall of probability theory: the mean, variance, correlation. Investment in assets yielding haphazard. Expected return and volatility / risk of a portfolio of assets. Risk aversion and Markowitz model. Return and risk of a portfolio: a random and activities in return for a certain yield, two activities to yield uncertain, two activities to yield randomly and a certain return. Capital Allocation Line. Capital Market Line.

Textbooks
➢ James Scandolo, Financial Mathematics, Amon, Padua, 2013 (for the chapters concerned by the themes of points of the program) and Financial Mathematics: exercises, Amon, Padua, 2013.
➢ for the synthesis and theoretical exercises about steps 1 and 2 is recommended:
A. Low, P. Pianca, Introduction to Financial Mathematics, Cedam, Padua, 2010.
➢ as in Step 3 can also be seen:
F. Rossi, F. Mantovani, Portfolio theory (investment diversification and control the risk-return profile), Monduzzi Publisher, 2010, pages 1-46 and 75-86.

Teaching material is available online by accessing the web page of the course.

The conduct of the lessons
The course consists of 56 hours of lectures and tutorials. There are also the hours of tutoring.

Assessment methods and criteria

NOT a test is scheduled for mid-term assessment.
At the conclusion of the lessons there is a final written exam of two hours.
The final written exam covers all the topics in the program, it is divided into several questions inspired by the examples presented in the classroom as well as to those contained in the material available online.

The tests are intended to assess:
- Knowledge of the topics scheduled
- The ability to apply methods and models to various economic and financial issues
The Commission may request an oral evaluation aimed at verifying:
- The depth and breadth of knowledge acquired;
- The properties of language;
- The ability to connect in systemic form knowledge.