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Other literature type . 2020
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Model Choice and Arbitrage

Authors: Liebmann, Thomas;

Model Choice and Arbitrage

Abstract

Seeking a vantage point suitable for model choice, we recast three different degrees of absence of arbitrage into a unified multidimensional semimartingale setting: absence of arbitrage of the first kind for the large set of allowable strategies, for the medium set of admissible strategies, and for the smaller set of simple no short sales trading. Each of these degrees of absence of arbitrage is equivalent to the existence of a type of equivalent deflator: martingale, local martingale, and supermartingale deflator. Comparing these results highlights their beautiful symmetry, shows which types of strategies may create arbitrage in which kind of models, and reveals settings that level the differences between two or three of the different degrees of absence of arbitrage. Understanding these phenomena and the resulting model risk can be useful when choosing between models for a specific purpose.

The talk at the Quantitative Methods in Finance 2017 Conference in Sydney has been called "Which strategies should not create arbitrage in realistic models?"

Keywords

local martingale, model choice, trading strategies, model risk, martingale, supermartingale, numéraire, no arbitrage, deflator

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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