This course covers convolutions, risk models, martingales, point processes, fixed-time ruin probability, finite- and infinite-time ruin probabilities, and discrete risk models. MASTER DEGRE ATMAT The purpose of the MS degree in Actuarial Sciences is to prepare students to become credentialed risk analysts who can work in either conventional actuarial disciplines such as insurance/reinsurance, actuarial consultancies or financial institutions or in nonconventional disciplines such as predictive analytics, enterprise risk management, etc. Mission The Master of Science in Actuarial Sciences is designed to address the growing demand in Lebanon and the Arab region for highly qualified risk specialists. Graduates of this program will be well-prepared to work in key areas such as life and casualty insurance, pension funding and valuation, credit risk assessment, hedging strategies, and portfolio management. Structured to fulfill both academic and professional goals, the program enables students to pursue internationally recognized actuarial credentials offered by leading institutions such as the Society of Actuaries (SOA) and the Institute of Actuaries (FIA), among others. It also offers a strong theoretical foundation, equipping graduates for advanced academic pursuits, including doctoral studies in Actuarial Science or related disciplines. ACTUARIAL SCIENCES MASTER DEGRE MAT THE DEGREE OF MASTER OF SCIENCE IN ACTUARIAL SCIENCES Program Educational Objectives The graduates of the program will: • Build successful careers in actuarial science and risk management, contributing as leaders or effective team members in complex financial and insurance environments; • Attain the foundational and advanced theoretical knowledge required to pursue professional actuarial credentials; • Demonstrate ethical and professional responsibility in line with actuarial codes of conduct, serving the needs of stakeholders who rely on their expertise; • Pursue advanced academic research or doctoral studies in Actuarial Science or any related field; and • Apply theoretical concepts to real-world problems through industry-based projects, showcasing critical thinking, collaboration, leadership, and communication skills. Program Learning Outcomes • Equip students with advanced knowledge in actuarial science, enabling them to apply mathematical and statistical techniques to assess and manage r

Risk Theory