Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/167802 
Year of Publication: 
2016
Citation: 
[Journal:] International Journal of Financial Studies [ISSN:] 2227-7072 [Volume:] 4 [Issue:] 1 [Publisher:] MDPI [Place:] Basel [Year:] 2016 [Pages:] 1-24
Publisher: 
MDPI, Basel
Abstract: 
In this paper, a level set analysis is proposed which aims to analyze the S&P 500 return with a certain magnitude. It is found that the process of large jumps/drops of return tend to have negative serial correlation, and volatility clustering phenomenon can be easily seen. Then, a nonparametric analysis is performed and new patterns are discovered. An ARCH model is constructed based on the patterns we discovered and it is capable of manifesting the volatility skew in option pricing. A comparison of our model with the GARCH(1,1) model is carried out. The explanation of the validity on our model through prospect theory is provided, and, as a novelty, we linked the volatility skew phenomenon to the prospect theory in behavioral finance.
Subjects: 
level set analysis
nonparametric regression
ARCH/GARCH model
prospect theory
behavioral finance
agent-based modeling
JEL: 
C14
C58
G02
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article

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