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…
to Longitudinal Data -- Plots -- Simple Analyses -- Critiques of Simple Analyses -- The Multivariate Normal Linear Model -- Tools and Concepts -- Specifying Covariates -- Modeling the Covariance Matrix -- Random Effects Models -- Residuals and Case Diagnostics -- Discrete Longitudinal Data -- Missing Data -- Analyzing Two Longitudinal Variables -- Further Reading.Longitudinal data are ubiquitou…
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…
Introduction -- Chapter 1. Theoretical Approach -- Chapter 2. Methodological Approach -- Chapter 3. Analysis of the Power Struggles over the Post-Neoliberal Social Security System Reform in Venezuela -- Chapter 4. Analysis of the Power Struggles over the Post-Neoliberal Social Security System Reform in Ecuador -- Chapter 5. Comparative Analysis of the Power Struggles over the Post-Neoliberal So…
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…
Main Definitions and Notations -- Main Definitions and Notations -- State Inference -- Filtering and Smoothing Recursions -- Advanced Topics in Smoothing -- Applications of Smoothing -- Monte Carlo Methods -- Sequential Monte Carlo Methods -- Advanced Topics in Sequential Monte Carlo -- Analysis of Sequential Monte Carlo Methods -- Parameter Inference -- Maximum Likelihood Inference, Part I: Op…
CUSUM Procedure -- Change-Point Estimation -- Confidence Interval for Change-Point -- Inference for Post-Change Mean -- Estimation After False Signal -- Inference with Change in Variance -- Sequential Classification and Segmentation -- An Adaptive CUSUM Procedure -- Dependent Observation Case -- Other Methods and Remarks.This monograph is the first to systematically study the bias of estimators…
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 …