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Market-Consistent Prices

An Introduction to Arbitrage Theory

Authors: Koch-Medina, Pablo, Munari, Cosimo-Andrea

  • Mathematically rigorous and comprehensive introduction to arbitrage pricing in single- and multi-period models, including sub and super hedging in incomplete markets
  • Careful selection of exercises
  • Accessibility of topics by fully developing the necessary material from probability theory, convex analysis and the theory of positive linear functionals
  • Solid foundation in terms of financial concepts and intuition in a finite dimensional setting ​
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eBook 50,28 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: June 4, 2020
  • ISBN 978-3-030-39724-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 62,39 €
price for Spain (gross)
  • Due: June 4, 2020
  • ISBN 978-3-030-39722-7
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

The theory of arbitrage provides the foundation for the pricing of financial derivatives and has become indispensable in both financial theory and financial practice. This textbook offers a rigorous and comprehensive introduction to the mathematics of arbitrage pricing in a discrete-time, finite-state economy in which a finite number of securities are traded. In a first step, various versions of the Fundamental Theorem of Asset Pricing, i.e., characterizations of when a market does not admit arbitrage opportunities, are proved. The focus then shifts to incomplete markets, where the main concern is to obtain a precise description of the set of “market-consistent” prices for nontraded payoffs, i.e., the set of prices at which a nontraded security could be transacted between rational agents. Both European-type and American-type contracts are considered. A distinguishing feature of this book is its emphasis on market-consistent prices and a systematic description of pricing rules, also at intermediate dates. The benefits of this approach are most evident in the treatment of American options, which is novel in terms of both the presentation and scope, while also presenting new results.

The focus on discrete-time, finite-state models makes it possible to cover all relevant topics while requiring only a moderate mathematical background on the part of the reader. The book will appeal to financial economics students seeking an elementary but rigorous introduction to the subject; mathematics and physics students looking for an opportunity to get acquainted with a modern applied topic; and mathematicians, physicists and quantitatively inclined economists working or planning to work in the financial industry.

 

About the authors

Pablo Koch-Medina is Professor of Finance and Insurance at the University of Zurich and Director of the Center for Finance and Insurance at the same university. He studied mathematics at the Universities of Leiden and Zurich and holds a PhD in mathematics from the University of Zurich.  

Cosimo Munari is Professor of Finance and Insurance at the University of Zurich. He studied mathematics at the University of Milan and Finance at Collegio Carlo Alberto in Turin and holds a PhD in mathematics from the Swiss Federal Institute of Technology in Zurich.


Buy this book

eBook 50,28 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: June 4, 2020
  • ISBN 978-3-030-39724-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 62,39 €
price for Spain (gross)
  • Due: June 4, 2020
  • ISBN 978-3-030-39722-7
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Market-Consistent Prices
Book Subtitle
An Introduction to Arbitrage Theory
Authors
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-39724-1
DOI
10.1007/978-3-030-39724-1
Softcover ISBN
978-3-030-39722-7
Edition Number
1
Number of Pages
X, 414
Topics