Journal article

### Fine-tune your smile: Correction to Hagan et al

Abstract:
In this small note we use results derived in Berestycki et al. to correct the celebrated formulae of Hagan et al. We derive explicitly the correct zero order term in the expansion of the implied volatility in time to maturity. The new term is consistent as β → 1. Furthermore, numerical simulations show that it reduces or eliminates known pathologies of the earlier formula.
Publication status:
Published
Peer review status:
Reviewed (other)

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Willmott Publisher's website
Journal:
Wilmott Magazine Journal website
Volume:
2008
Publication date:
2008-05-01
Source identifiers:
189180
Keywords:
Pubs id:
pubs:189180
UUID:
uuid:93e64c7b-d4f5-4bf5-b434-7b862d768a0f
Local pid:
pubs:189180
Deposit date:
2016-11-02