Title
General smile asymptotics with bounded maturity
Abstract
We provide explicit conditions on the distribution of risk-neutral log-returns which yield sharp asymptotic estimates on the implied volatility smile. We allow for a variety of asymptotic regimes, including both small maturity (with arbitrary strike) and extreme strike (with arbitrary bounded maturity), extending previous work of Benaim and Friz [Math. Finance, 19 (2009), pp. 1-12]. We present applications to popular models, including the Carr-Wu finite moment logstable model, Merton's jump diffusion model, and Heston's model.
Year
DOI
Venue
2016
10.1137/15M1031102
SIAM JOURNAL ON FINANCIAL MATHEMATICS
Keywords
Field
DocType
implied volatility,asymptotics,volatility smile,tail probability
Implied volatility,Economics,Financial economics,Mathematical economics,Jump diffusion,Finance,Asymptotic analysis,Bounded function
Journal
Volume
Issue
ISSN
7
1
1945-497X
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
francesco caravenna100.68
Jacopo Corbetta21335.52