UID:
almahu_9949285158402882
Format:
XIV, 137 p. 36 illus.
,
online resource.
Edition:
1st ed. 2009.
ISBN:
9783642003318
Series Statement:
Lecture Notes in Economics and Mathematical Systems, 622
Content:
The scientific debate of recent years about option pricing with respect to fractional Brownian motion was focused on the feasibility of the no arbitrage pricing approach. As the unrestricted fractional market setting allows for arbitrage, the conventional reasoning is that fractional Brownian motion does not qualify for modeling price process. In this book, the author points out that arbitrage can only be excluded in case that market prices move at least slightly faster than any market participant can react. He clarifies that continuous tradability always eliminates the risk of the fractional price process, irrespective of the interpretation of the stochastic integral as an integral of Stratonovich or Itô type. Being left with an incomplete market setting, the author shows that option valuation with respect to fractional Brownian motion may be solved by applying a risk preference based approach. The latter provides us with an intuitive closed-form solution for European options within the fractional context.
Note:
Fractional Integration Calculus -- Fractional Binomial Trees -- Characteristics of the Fractional Brownian Market:Arbitrage and Its Exclusion -- Risk Preference Based Option Pricing in a Continuous Time Fractional Brownian Market -- Risk Preference Based Option Pricing in the Fractional Binomial Setting -- Conclusion.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783642003707
Additional Edition:
Printed edition: ISBN 9783642003301
Language:
English
DOI:
10.1007/978-3-642-00331-8
URL:
https://doi.org/10.1007/978-3-642-00331-8
