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Simulation of arbitrage-free implied volatility surfaces

Abstract:
We present a computationally tractable method for simulating arbitrage-free implied volatility surfaces. We illustrate how our method may be combined with a data-driven model based on historical SPX implied volatility data to generate dynamic scenarios for arbitrage-free implied volatility surfaces. Our approach conciliates static arbitrage constraints with a realistic representation of statistical properties of implied volatility co-movements.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1080/1350486X.2023.2277960

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Hugh's College
Role:
Author
ORCID:
0000-0003-1164-6053


Publisher:
Taylor and Francis
Journal:
Applied Mathematical Finance More from this journal
Volume:
30
Issue:
2
Pages:
94-121
Publication date:
2023-11-22
Acceptance date:
2023-10-25
DOI:
EISSN:
1466-4313
ISSN:
1350-486X


Language:
English
Keywords:
Pubs id:
1553271
Local pid:
pubs:1553271
Deposit date:
2023-10-28
ARK identifier:

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