Risk Analysis in Finance and Insurance

Risk Analysis in Finance and Insurance, Third Edition presents an accessible yet comprehensive introduction to the main concepts and methods that transform risk management into a quantitative science. Considering the interdisciplinary nature of risk analysis, the author discusses many important ideas from stochastic analysis, mathematical finance and actuarial science in a simplified manner. He explores the interconnections among these disciplines and encourages readers toward further study of the subject. This edition continues to study risks associated with financial and insurance contracts, using an approach that estimates the value of future payments based on current financial, insurance, and other information.

Features of the third edition

• 12 chapters instead of 8 of the 2nd editions. Two new chapters on Wiener process as a base for financial market modeling. Option pricing in the Bachelier model, the model of Black and Scholes, the Gram-Charlier model. American options and their pricing in the Black-Scholes model
• Several new notions, topics and results that are not reflected yet in other textbooks, and even in monographs (Binomial model with constraints, detailed exposition of quantile hedging technique, Conditional Value at Risk, Range of Value at Risk, applications to equity-linked life insurance)
• Can be regarded as a self-contained issue of courses on Mathematical Finance, Actuarial Science and Risk Management
• Replete with new exercises, problems, hints and solutions

Alexander Melnikov is a Professor at the University of Alberta working in stochastic analysis and its applications in finance, statistics and insurance. He is the author of nine books and over one hundred research papers in leading academic journals and venues. He is a Fellow of the Russian Academy of Natural Sciences, a recipient of the Leontiev medal of this academy and the McCalla Professorship of the University of Alberta. In addition to his academic engagements, he held several senior positions in business and professional organizations.