Associate Professor
Department of Mathematics
University of Chicago
"Variation and Weighted Variation Swaps on Time-Changed Levy
Processes"
Finance and Stochastics, forthcoming.
pdf
Joint with P Carr.
"The Small-Time Smile and Term Structure of Implied Volatility
Under the Heston Model
"
SIAM Journal on Financial Mathematics, forthcoming.
pdf
Joint with M Forde and A Jacquier.
"Variance Swaps on Time-Changed Levy Processes"
Finance and Stochastics, vol 16 issue 2 (2012), 335-355.
pdf
Joint with P Carr and L Wu.
"Displaced Lognormal Volatility Skews:
Analysis and Applications to Stochastic Volatility Simulations"
Annals of Finance, vol 8 issue 2 (2012), 159-181.
pdf
Joint with D Wang.
"Volatility Derivatives"
Annual Review of Financial Economics, vol 1 (2009), 319-339.
Joint with P Carr.
In Encyclopedia of Quantitative Finance (2010):
"Weighted Variance
Swap" (also known as a generalized variance swap)
"Corridor Variance
Swap"
"Gamma Swap"
"Realized Volatility
Options"
"Hedging Variance Options on Continuous Semimartingales"
pdf
Joint with P Carr.
Finance and Stochastics, vol 14 issue 2 (2010), 179-207.
"Put-Call Symmetry: Extensions and Applications"
pdf
Joint with P Carr.
Mathematical Finance, vol 19 issue 4 (2009), 523-560.
"Robust Replication of Volatility Derivatives"
pdf
Joint with P Carr.
PRMIA award for Best Paper in Derivatives, MFA 2008 Annual Meeting.
"Realized Volatility and Variance: Options via Swaps"
Joint with P Carr.
RISK, vol 20 issue 5 (2007), 76-83.
pdf including unpublished
appendices.
Reprinted in Structured Products, Risk Books (2008).
"On the Black-Scholes Implied Volatility at Extreme Strikes"
Joint with S Benaim and P Friz.
Refereed and forthcoming:
Frontiers in Quantitative Finance: Volatility and Credit Risk Modeling
.
pdf
"The Moment Formula for Implied Volatility at Extreme Strikes
"
Mathematical Finance, vol 14 issue 3 (July 2004), 469-480.
pdf
"Option Pricing by Transform Methods: Extensions,
Unification, and
Error Control"
Journal of Computational Finance, vol 7 issue 3 (Spring 2004),
51-86.
February 2005 version: pdf
"Implied Volatility: Statics, Dynamics, and Probabilistic Interpretation"
In Recent Advances in Applied Probability, Springer (2005).
  pdf
"Implied
and Local Volatilities under Stochastic Volatility"
International Journal of Theoretical and
Applied
Finance, vol 4 issue 1 (2001) 45-89.