Approximation and Calibration of Short-Term Implied Volatilities Under Jump-Diffusion Stochastic Volatility

A-Tier
Journal: The Review of Financial Studies
Year: 2007
Volume: 20
Issue: 2
Pages: 427-459

Authors (2)

Alexey Medvedev (not in RePEc) Olivier Scaillet (Université de Genève)

Score contribution per author:

2.011 = (α=2.01 / 2 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We derive an asymptotic expansion formula for option implied volatility under a two-factor jump-diffusion stochastic volatility model when time-to-maturity is small. We further propose a simple calibration procedure of an arbitrary parametric model to short-term near-the-money implied volatilities. An important advantage of our approximation is that it is free of the unobserved spot volatility. Therefore, the model can be calibrated on option data pooled across different calendar dates to extract information from the dynamics of the implied volatility smile. An example of calibration to a sample of S&P 500 option prices is provided.

Technical Details

RePEc Handle
repec:oup:rfinst:v:20:y:2007:i:2:p:427-459.
Journal Field
Finance
Author Count
2
Added to Database
2026-01-29