High Frequency Trading is pervasive across all electronic financial markets. As algorithms replace an increasing number of tasks previously performed by humans, cascading effects similar to the Flash Crash of May 6th 2010 become more likely. In this study, we bring together a number of different...

Volatilities -- Extensions of the Black-Scholes theory to other types of options (futures options, currency options, American options, path-dependent options, multi-asset options) -- Fundamentals: stochastic analysis and applications, interest rate dynamics, and basic principles of pricing...

The purpose of the Special Issue "Quantitative Methods in Economics and Finance" of the journal Risks was to provide a collection of papers that reflect the latest research and problems of pricing complex derivates, simulation pricing, analysis of financial markets, and volatility of exchange...

Within the seminal asset-pricing model by Brock and Hommes (1998), heterogeneous boundedly rational agents choose between a fixed number of expectation rules to forecast asset prices. However, agents' heterogeneity is limited in the sense that they typically switch between a representative...

Introduction to high frequency financial modelling -- Intra-day realized volatility measures -- Methods of volatility estimation and forecasting -- Multiple model comparison and hypothesis framework construction -- Realized volatility forecasting - applications -- Recent methods: a review --...

This book is a collection of papers for the Special Issue "Quantitative Methods for Economics and Finance" of the journal Mathematics. This Special Issue reflects on the latest developments in different fields of economics and finance where mathematics plays a significant role. The book gathers...