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Arbitrage Theory in Continuous Time

Tomas Björk

Published in print:
2004
Published Online:
October 2005
ISBN:
9780199271269
eISBN:
9780191602849
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199271267.001.0001
Subject:
Economics and Finance, Financial Economics

This book presents an introduction to arbitrage theory and its applications to problems for financial derivatives. This second edition includes more advanced materials; appendices on measure theory, ... More


The Martingale Approach to Arbitrage Theory

Tomas Björk

in Arbitrage Theory in Continuous Time

Published in print:
2004
Published Online:
October 2005
ISBN:
9780199271269
eISBN:
9780191602849
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199271267.003.0010
Subject:
Economics and Finance, Financial Economics

This chapter analyses a market model made up of N + 1 a priori given asset price processes S0, S1, ..., SN. Typically, the model is specified by giving the dynamics of the asset price processes under ... More


Black–Scholes from a Martingale Point of View*

Tomas Björk

in Arbitrage Theory in Continuous Time

Published in print:
2004
Published Online:
October 2005
ISBN:
9780199271269
eISBN:
9780191602849
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199271267.003.0012
Subject:
Economics and Finance, Financial Economics

This chapter discusses the standard Black-Scholes model from the martingale point of view. The probability space (Ω, □, P, □-) carrying a P-Wiener process W-, where the filtration □- is the one ... More


The Mathematics of the Martingale Approach

Tomas Björk

in Arbitrage Theory in Continuous Time

Published in print:
2004
Published Online:
October 2005
ISBN:
9780199271269
eISBN:
9780191602849
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199271267.003.0011
Subject:
Economics and Finance, Financial Economics

This chapter presents the two main workhorses of the martingale approach to arbitrage theory: the Martingale Representation Theorem and the Girsanov Theorem. The Martingale Representation Theorem ... More


Multidimensional Models: Martingale Approach

Tomas Björk

in Arbitrage Theory in Continuous Time

Published in print:
2004
Published Online:
October 2005
ISBN:
9780199271269
eISBN:
9780191602849
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199271267.003.0014
Subject:
Economics and Finance, Financial Economics

This chapter analyses a multidimensional model using the martingale machinery of Chapter 10. This model is more general than the one used in the previous chapter to obtain more general results, and ... More


Incomplete Markets

Tomas Björk

in Arbitrage Theory in Continuous Time

Published in print:
2004
Published Online:
October 2005
ISBN:
9780199271269
eISBN:
9780191602849
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199271267.003.0015
Subject:
Economics and Finance, Financial Economics

This chapter examines derivative pricing in incomplete markets. It focuses on a particular type of incomplete market, namely a “factor model” — a market where there are some nontraded underlying ... More


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