PrefacePart 1: Background and Basic Analytics 1. Risk management and regulation2. Basic concepts and methods in risk management3. Financial derivatives and their pricing theory4. Insurance risk and credibility theoryPart 2: Advanced Data and Risk Analytics 5. Supervised and unsupervised...

"This book presents statistics and data science methods for risk analytics in quantitative finance and insurance. Part I covers the background, financial models, and data analytical methods for market risk, credit risk, and operational risk in financial instruments, as well as models of risk...

"Introduction to Stochastic Finance with Market Examples, Second Edition presents an introduction to pricing and hedging in discrete and continuous time financial models, emphasizing both analytical and probabilistic methods. It demonstrates both the power and limitations of mathematical models...

The book has been tested and refined through years of classroom teaching experience. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. This textbook...

Risk measures in finance and insurance -- Fixed-probability level in a diffusion model -- Fixed-probability level in an exceptional renewal model -- Implicit function defined by M-equation -- Fixed-probability level in general renewal model -- Case study : numerical evaluation of...

1. Volatility Trading and Variance Derivatives. 1.1. Implied Volatility and Local Volatility. 1.2. Volatility Trading using Options. 1.3. Derivatives on Discrete Realized Variance. 1.4. Replication of Variance Swaps. 1.5. Practical Implementation of Replication: Finite Strikes and Discrete...

This paper describes the development and initial testing of the Black-corrected version of a workhorse 3-factor Gaussian yield curve (term structure) model, the economic factor model (Dempsteret al., 2010) which we have used for many years with Monte Carlo scenario simulation for structured...

Euclidean space -- Sequences and series of functions -- Multidimensional differential calculus -- Ordinary differential equations of first order : methods for explicit solutions -- Linear differential equations of second order -- Prologue to measure theory -- Lebesgue integral -- Radon-Nikodym...