Mathematics for Finance (2nd Ed., 2nd ed. 2011)
An Introduction to Financial Engineering
Springer Undergraduate Mathematics Series

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Language: English

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336 p. · 15.5x23.5 cm · Paperback

Mathematics for Finance: An Introduction to Financial Engineering combines financial motivation with mathematical style. Assuming only basic knowledge of probability and calculus, it presents three major areas of mathematical finance, namely Option pricing based on the no-arbitrage principle in discrete and continuous time setting, Markowitz portfolio optimisation and Capital Asset Pricing Model, and basic stochastic interest rate models in discrete setting.

A Simple Market Model.- Risk-Free Assets.- Portfolio Management.- Forward and Futures Contracts.- Options: General Properties.- Binomial Model.- General Discrete Time Models.- Continuous Time Model.- Interest Rates.
​Marek Capinski is Professor of Mathematics at AGH University of Science and Technology, Poland. 

Tomasz Zastawniak is Professor of Mathematics at the University of York, UK. 

A case study to begin each chapter – a real-life situation motivating the development of theoretical tools

A detailed discussion of the case study at the end of each chapter

A new chapter on time-continuous models with intuitive outlines of the mathematical arguments and constructions

Complete proofs of the two fundamental theorems of mathematical finance in discrete setting

Includes supplementary material: sn.pub/extras