The field of computational finance is evolving ever faster. This book collects a number of novel contributions on the use of computational methods and techniques for modelling financial asset prices, returns, and volatility, and on the use of numerical methods for pricing, hedging, and risk...

The textbook discusses risk management in capital markets and presents various techniques of portfolio optimization. Special attention is given to risk measurement and credit risk management. Furthermore, the author discusses optimal investment problems and presents various examples. In the last...

Chapter 1 Preliminaries -- Chapter 2 Risk and Expected Utility -- Chapter 3 Market Pricing and Market E ciency -- Chapter 4 Modern Portfolio Theory -- Chapter 5 Asset Pricing -- Chapter 6 Introduction to Derivatives -- Chapter 7 Arbitrage and Model-free Pricing Methods- Chapter 8 Modelling,...

This paper examines a simple basis risk model based on correlated geometric Brownian motions. We apply quadratic criteria to minimize basis risk and hedge in an optimal manner. Initially, we derive the Föllmer–Schweizer decomposition for a European claim. This allows pricing and hedging under...

In this paper we formulate the Risk Management Control problem in the interest rate area as a constrained stochastic portfolio optimization problem. The utility that we use can be any continuous function and based on the viscosity theory, the unique solution of the problem is guaranteed. The...