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Positive Expected Feedback Trading Gain for all Essentially Linearly Representable Prices

Title data

Baumann, Michael Heinrich ; Grüne, Lars:
Positive Expected Feedback Trading Gain for all Essentially Linearly Representable Prices.
2016
Event: The XVII Workshop on Quantitative Finance - Pisa 2016 , 28.-29.01.2016 , Pisa.
(Conference item: Workshop , Speech )

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Project information

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Promotionsstipendium
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Project financing: Bundesministerium für Bildung und Forschung
Hanns-Seidel-Stiftung
The work of Michael Heinrich Baumann is supported by a scholarship of Hanns Seidel Stiftung e.V. (HSS) by means of Bundesministerium für Bildung und Forschung (BMBF).

Abstract in another language

We study the simultaneous long short (SLS) feedback trading strategy. This strategy is known to yield expected positive gain for zero start investment if the underlying stock returns are governed by a geometric Brownian motion or by Merton’s jump diffusion model. In this paper, we generalize these results to a set of price models called essentially linearly representable prices. Particularly, we show that the SLS trader’s expected gain does not depend on the chosen price model but only on the risk-free interest rate and that it is always positive.

Further data

Item Type: Conference item (Speech)
Refereed: Yes
Keywords: feedback-based trading strategy; essentially linearly representable price; robust positive expectation property; simultaneous long short trading rule; Merton's jump diffusion model; geometric Brownian motion; stochastic differential equation
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Law, Business and Economics
Faculties > Faculty of Law, Business and Economics > Department of Economics
Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics I - International Economics and Finance
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
Research Institutions
Research Institutions > Research Centres
Result of work at the UBT: Yes
DDC Subjects: 300 Social sciences > 330 Economics
500 Science > 510 Mathematics
Date Deposited: 06 Oct 2016 09:58
Last Modified: 01 Oct 2018 10:31
URI: https://eref.uni-bayreuth.de/id/eprint/34826

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