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The Necessity of No Asymptotic Arbitrage in APT Pricing

Xiaoai Lin, Xia Liu and Yeneng Sun

Chapter 15 in Recent Developments in Mathematical Finance, 2001, pp 181-189 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractA typical APT type formula states that the square of the deviations of the individual rates of return from a factor-pricing formula sum to a finite number. The assumption of no asymptotic arbitrage is, in general, sufficient but not necessary for such an APT type formula to hold. Under certain additional assumptions on the residual risks, the desired necessity result can be obtained for a market with a countably infinite or an uncountably infinite number of assets.

Keywords: Proceedings; Conference; Mathematical Finance; Shanghai (China) (search for similar items in EconPapers)
Date: 2001
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