The course aims to provide mathematical and probabilistic models and concepts for the study of continuous-time financial markets, in particular for
financial risk management, hedging and pricing of derivative securities, including credit derivatives.
The course aims to provide specific quantitative knowledge
- for professional figures operating in financial
markets, including the "Market risk analyst", the "risk manager" and the "credit risk analyst";
- for research activities in Finance;
- for the profession of Financial Advisors.

EXPECTED LEARNING RESULTS.
The student is expected to:
- understand the basic and advanced mathematical concepts for financial derivatives valuation and hedging;
- know the main stochastic models for financial markets;

KNOWLEDGE AND ABILITY TO UNDERSTAND:
At the end of the course, the student should: - know the basic probabilistic tools used in finance and some of the advanced ones as well;
- know modern mathematical finance methods for risk management, derivatives hedging and valuation.

JUDGEMENT ABILITY:
At the end of the course, the student should be able to apply the knowledge he/she has acquired to problems in quantitative finance.

COMMUNICATION ABILITY:
At the end of the course, the student should be able to summarize and expose the concepts and the theoretical results he/she has learned, as well as be able to motivate his/her choices in problem solving.