Finance -- Stable Distributions -- Extreme Value Analysis and Copulas -- Tail Dependence -- Pricing of Catastrophe Bonds -- Common Functional Implied Volatility Analysis -- Implied Trinomial Trees -- Heston's Model and the Smile -- FFT-based Option Pricing -- Valuation of Mortgage Backed Securities: from Optimality to Reality -- Predicting Bankruptcy with Support Vector Machines -- Econometric …
The Implied Volatility Surface -- Smile Consistent Volatility Models -- Smoothing Techniques -- Dimension-Reduced Modeling -- Conclusion and Outlook.The implied volatility surface is a key financial variable for the pricing and the risk management of plain vanilla and exotic options portfolios alike. Consequently, statistical models of the implied volatility surface are of immediate importance …
The statistics of asset allocation -- Univariate statistics -- Multivariate statistics -- Modeling the market -- Classical asset allocation -- Estimating the distribution of the market invariants -- Evaluating allocations -- Optimizing allocations -- Accounting for estimation risk -- Estimating the distribution of the market invariants -- Evaluating allocations -- Optimizing allocations.This en…
Linear and Quadratic Programming -- General Optimization With Simple -- Advanced Issues in Mean-Variance Optimization -- Resampling and Portfolio Choice -- Scenario Optimization: Addressing Non-normality -- Robust Statistical Methods for Portfolio Construction -- Bayes Methods.In recent years portfolio optimization and construction methodologies have become an increasingly critical ingredient o…
Pricing by Arbitrage -- Martingale Measures -- The First Fundamental Theorem -- Complete Markets -- Discrete-time American Options -- Continuous-Time Stochastic Calculus -- Continuous-Time European Options -- The American Put Option -- Bonds and Term Structure -- Consumption-Investment Strategies -- Measures of Risk.This book presents the mathematics that underpins pricing models for derivative…
Spot and Futures Markets -- An Introduction to Financial Derivatives -- Discrete-time Security Markets -- Benchmark Models in Continuous Time -- Foreign Market Derivatives -- American Options -- Exotic Options -- Volatility Risk -- Continuous-time Security Markets -- Fixed-income Markets -- Interest Rates and Related Contracts -- Short-Term Rate Models -- Models of Instantaneous Forward Rates -…
The Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Itô Integral -- Stochastic Differential Equations -- The Applications of Stochastic Processes -- Applications to Finance and Insurance -- Applications to Biology and Medicine.This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic proces…
Some Mathematical Tools -- Financial Time Series: Facts and Models -- Parameter Estimation: An Overview -- Quasi Maximum Likelihood Estimation in Conditionally Heteroscedastic Time Series Models: A Stochastic Recurrence Equations Approach -- Maximum Likelihood Estimation in Conditionally Heteroscedastic Time Series Models -- Quasi Maximum Likelihood Estimation in a Generalized Conditionally Het…
to Option Pricing -- Asset Pricing Basics -- Continuous-Time Models -- Black-Scholes -- Estimating and Modelling Volatility -- to Monte Carlo and Binomial Models -- Advanced Option Pricing -- Foreign Exchange -- Forward, Futures, and Exchange Options -- Exotic Options -- More on Monte Carlo and Binomial Valuation -- Finite Difference Methods -- Fixed Income -- Fixed Income Concepts -- to Fixed …
The Bayes Premium -- Credibility Estimators -- The Bühlmann-Straub Model -- Treatment of Large Claims in Credibility -- Hierarchical Credibility -- Multidimensional Credibility -- Credibility in the Regression Case -- Evolutionary Credibility Models and Recursive Calculation -- Multidimensional Evolutionary Models and Recursive Calculation.The book is aimed at teachers and students as well as …