The maximum principle and dynamic programming are the two most commonly used approaches in solving optimal control problems. These approaches have been developed independently. The theme of this book is to unify these two approaches, and to demonstrate that the viscosity solution theory provides the framework to unify them.

The Handbook of U.S. Labor Statistics is recognized as an authoritative resource on the U.S. labor force. It continues and enhances the Bureau of Labor Statistics's (BLS) discontinued publication, Labor Statistics. It allows the user to understand recent developments as well as to compare today's economy with that of the past. This publication includes several tables throughout the book examining the extensive effect that coronavirus (COVID-19) had on the labor market throughout 2020. A chapter titled “The Impact of Coronavirus (COVID-19) on the Labor Force” includes new information on hazard pay, safety measures businesses enforced during the pandemic, vaccine incentives, and compressed work schedules. In addition, there are several other tables within the book exploring its impact on employment, telework, and consumer expenditures. This edition of Handbook of U.S. Labor Statistics also includes a completely updated chapter on prices and the most current employment projections through 2030. The Handbook is a comprehensive reference providing an abundance of information on a variety of topics. In addition to providing statistics on employment, unemployment, and prices, it includes information on topics such as: Earnings; Productivity; Consumer expenditures; Occupational safety and health; Union membership; Working poor Recent trends in the labor force And much more! Features of the publication: In addition to over 215 tables that present practical data, the Handbook provides: Introductory material for each chapter that contains highlights of salient data and figures that call attention to noteworthy trends in the data Notes and definitions, which contain concise descriptions of the data sources, concepts, definitions, and methodology from which the data are derived References to more comprehensive reports which provide additional data and more extensive descriptions of estimation methods, sampling, and reliability measures

This book overviews latest ideas and developments in financial econometrics, with an emphasis on how to best use prior knowledge (e.g., Bayesian way) and how to best use successful data processing techniques from other application areas (e.g., from quantum physics). The book also covers applications to economy-related phenomena ranging from traditionally analyzed phenomena such as manufacturing, food industry, and taxes, to newer-to-analyze phenomena such as cryptocurrencies, influencer marketing, COVID-19 pandemic, financial fraud detection, corruption, and shadow economy. This book will inspire practitioners to learn how to apply state-of-the-art Bayesian, quantum, and related techniques to economic and financial problems and inspire researchers to further improve the existing techniques and come up with new techniques for studying economic and financial phenomena. The book will also be of interest to students interested in latest ideas and results.

Financial market volatility plays a crucial role in financial decision making, as volatility forecasts are important input parameters in areas such as option pricing, hedging strategies, portfolio allocation and Value-at-Risk calculations. The fact that financial innovations arrive at an ever-increasing rate has motivated both academic researchers and practitioners and advances in this field have been considerable. The use of Stochastic Volatility (SV) models is one of the latest developments in this area. Empirical Studies on Volatility in International Stock Markets describes the existing techniques for the measurement and estimation of volatility in international stock markets with emphasis on the SV model and its empirical application. Eugenie Hol develops various extensions of the SV model, which allow for additional variables in both the mean and the variance equation. In addition, the forecasting performance of SV models is compared not only to that of the well-established GARCH model but also to implied volatility and so-called realised volatility models which are based on intraday volatility measures.
The intended readers are financial professionals who seek to obtain more accurate volatility forecasts and wish to gain insight about state-of-the-art volatility modelling techniques and their empirical value, and academic researchers and students who are interested in financial market volatility and want to obtain an updated overview of the various methods available in this area.