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Dampened Power Law: Reconciling the Tail Behavior of Financial Security Returns Author info | Abstract | Publisher info | Download info | Related research | Statistics Liuren Wu (Baruch College)
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This paper proposes a stylized model that reconciles several seemingly conflicting findings on financial security returns and option prices. The model is based on a pure jump Levy process, wherein the jump arrival rate obeys a power law dampened by an exponential function. The model allows for different degrees of dampening for positive and negative jumps, and also different pricing for upside and downside market risks. Calibration of the model to the S&P 500 index shows that the market charges only a moderate premium on upward index movements, but the maximally allowable premium on downward index movements.
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Paper provided by EconWPA in its series Finance with number
0401001.
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Length: 44 pages
Date of creation: 08 Jan 2004Date of revision:
Handle: RePEc:wpa:wuwpfi:0401001Note: Type of Document - pdf; prepared on LaTex; pages: 44; figures: 5Contact details of provider: Web page: http://129.3.20.41
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Keywords: dampened power law ; alpha-stable distribution ; central limit theorem ; upside movement ; downside movement ; Other versions of this item:
Find related papers by JEL classification: G - Financial Economics
This paper has been announced in the following NEP Reports :
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references Cited by : (explanations , Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.)
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