Mishura, Yuliya <br/><br/>
Financial mathematics 

 - London  ISTE Press Ltd.  2016 
 - xiv, 179 p. 
<br/><br/>Table of Contents<br/>Chapter 1. Financial Markets with Discrete Time<br/>1.1. General description of a market model with discrete time<br/>1.2. Arbitrage opportunities, martingale measures and martingale<br/>1.3. Contingent claims: complete and incomplete markets<br/>1.4. The Cox–Ross–Rubinstein approach to option pricing<br/>1.5. The sequence of the discrete-time markets as an intermediate<br/>1.6. American contingent claims<br/>Chapter 2. Financial Markets with Continuous Time<br/>2.1. Transition from discrete to continuous time<br/>2.2. Black–Scholes formula for the arbitrage-free price of the<br/>2.3. Arbitrage theory for the financial markets with continuous-time<br/>2.4. American contingent claims in continuous time<br/>2.5. Exotic derivatives in the model with continuous-time 
<br/><br/> Finance Mathematics is devoted to financial markets both with discrete and continuous time, exploring how to make the transition from discrete to continuous time in option pricing. This book features a detailed dynamic model of financial markets with discrete time, for application in real-world environments, along with Martingale measures and martingale criterion and the proven absence of arbitrage. With a focus on portfolio optimization, fair pricing, investment risk, and self-finance, the authors provide numerical methods for solutions and practical financial models, enabling you to solve problems both from a mathematical and financial point of view. 
<br/><br/><label>ISBN: </label>9781785480461 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Business mathematics<br/>Economics, Mathematical
<br/><br/><label>Dewey Class. No.: </label>330.0151  / MIS