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Arbitrage Theory in Continuous Time

Author

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  • Bjork, Tomas

    (Professor of Mathematical Finance, Stockholm School of Economics)

Abstract

The third edition of this popular introduction to the classical underpinnings of the mathematics behind finance continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous arbitrage pricing of financial derivatives, including stochastic optimal control theory and Merton's fund separation theory, the book is designed for graduate students and combines necessary mathematical background with a solid economic focus. It includes a solved example for every new technique presented, contains numerous exercises, and suggests further reading in each chapter. In this substantially extended new edition Bjork has added separate and complete chapters on the martingale approach to optimal investment problems, optimal stopping theory with applications to American options, and positive interest models and their connection to potential theory and stochastic discount factors. More advanced areas of study are clearly marked to help students and teachers use the book as it suits their needs.

Suggested Citation

  • Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
  • Handle: RePEc:oxp:obooks:9780199574742
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    References listed on IDEAS

    as
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    2. R. Vilela Mendes & M. J. Oliveira & A. M. Rodrigues, 2012. "The fractional volatility model: No-arbitrage, leverage and completeness," Papers 1205.2866, arXiv.org.
    3. Leccadito, Arturo & Paletta, Tommaso & Tunaru, Radu, 2016. "Pricing and hedging basket options with exact moment matching," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 59-69.
    4. Ghamami, Samim, 2015. "Derivatives Pricing under Bilateral Counterparty Risk," Finance and Economics Discussion Series 2015-26, Board of Governors of the Federal Reserve System (U.S.).
    5. Alvise De Col & Alessandro Gnoatto & Martino Grasselli, 2012. "Smiles all around: FX joint calibration in a multi-Heston model," Papers 1201.1782, arXiv.org, revised Jun 2013.
    6. Mahringer, Steffen & Fuess, Roland & Prokopczuk, Marcel, 2015. "Electricity Market Coupling and the Pricing of Transmission Rights: An Option-based Approach," Working Papers on Finance 1512, University of St. Gallen, School of Finance.
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    8. Zahra Sokoot & Navideh Modarresi & Farzaneh Niknejad, 2017. "Modeling credit default swap premiums with stochastic recovery rate," Papers 1706.05703, arXiv.org.
    9. Fung, Man Chung & Ignatieva, Katja & Sherris, Michael, 2014. "Systematic mortality risk: An analysis of guaranteed lifetime withdrawal benefits in variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 103-115.
    10. Hyungbin Park, 2014. "Pricing and Hedging Long-Term Options," Papers 1410.8160, arXiv.org, revised Mar 2016.
    11. Andr'es Sosa & Ernesto Mordecki, 2015. "Modelling the Uruguayan debt through gaussians models," Papers 1508.00108, arXiv.org.
    12. Raquel M. Gaspar, 2016. "On Path–dependency of Constant Proportion Portfolio Insurance strategies," EcoMod2016 9381, EcoMod.
    13. Alexander M. G. Cox & Christoph Hoeggerl, 2013. "Model-independent no-arbitrage conditions on American put options," Papers 1301.5467, arXiv.org.
    14. Jihun Han & Hyungbin Park, 2014. "The Intrinsic Bounds on the Risk Premium of Markovian Pricing Kernels," Papers 1411.4606, arXiv.org, revised Sep 2015.
    15. Ghamami, Samim & Goldberg, Lisa R., 2014. "Stochastic Intensity Models of Wrong Way Risk: Wrong Way CVA Need Not Exceed Independent CVA," Finance and Economics Discussion Series 2014-54, Board of Governors of the Federal Reserve System (U.S.).
    16. Hyungbin Park, 2014. "Ross Recovery with Recurrent and Transient Processes," Papers 1410.2282, arXiv.org, revised Oct 2015.
    17. Francesco Menoncin & Elena Vigna, 2013. "Mean-variance target-based optimisation in DC plan with stochastic interest rate," Carlo Alberto Notebooks 337, Collegio Carlo Alberto.
    18. Yin-Hei (Michael) Cheng & Tony S. Wirjanto, 2013. "Pricing Financial Derivatives by Gram-Charlier Expansions," Working Paper series 61_13, Rimini Centre for Economic Analysis.

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