Master 2025/2026

Actuarial Calculus -2

Type: Elective course (Stochastic Modeling in Economics and Finance)

Delivered by: Department of Statistics and Data Analysis

When: 1 year, 3 module

Open to: students of all HSE University campuses

Instructors: Harold A. Moreno-Franco

Language: English

Contact hours: 28

Course Syllabus

Abstract

In this second part of Actuarial Calculus, I will give an introduction to Risk Theory offers a comprehensive exploration of the mathematical and statistical foundations of risk analysis in insurance. The course covers essential topics such as compound risk models, the computation of claim distributions, premium calculation principles, and risk measures. It delves into utility theory, examining the Expected Utility Hypothesis and its implications for optimal insurance strategies and risk sharing. Additionally, the curriculum introduces the Cramér–Lundberg model, focusing on ruin probabilities, differential equations, reinsurance, and the concept of Time to Ruin. Overall, this course equips students with theoretical concepts and quantitative methods necessary for effective risk management, enabling them to evaluate insurance products and make informed decisions in real-world contexts.