Actuarial Science: Regulation, Solvency, and Risk Management in Insurance Companies

Introduction

What this guide covers

A comprehensive technical reference on mathematical modeling, the theory of solvency in risk populations, and regulatory capital standards.

Overview

Topics covered

• Introduction
• Actuary: Regulation, Solvency and Risk Management
• Evolution of the Regulatory Frameworks for Solvency and Economic Balance
• Market-Consistent Valuation
• Theory of Coherent Risk Measures, VaR and Expected Shortfall
• Critical Analysis of Value at Risk (VaR) versus Tail Value at Risk (TVaR)

Related concepts

Main connections

• Variance & standard deviation
• Calculus & differentiation
• Poisson distribution
• Conditional probability & independence
• Mathematical expectation & moments
• Generalized linear models (GLM)

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.