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Do Call Prices and the Underlying Stock Always Move in the Same Direction

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TLDR
The authors empirically analyzes some properties shared by all one-dimensional diffusion option models and concludes that using SP options are not redundant securities, nor ideal hedging instruments, and puts and the underlying asset prices may go down together.
Abstract
This article empirically analyzes some properties shared by all one-dimensional diffusion option models. Using SP options are not redundant securities, nor ideal hedging instruments---puts and the underlying asset prices may go down together.

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