Calibration of stochastic volatility models: A Tikhonov regularization approach

B-Tier
Journal: Journal of Economic Dynamics and Control
Year: 2016
Volume: 64
Issue: C
Pages: 66-81

Authors (3)

Dai, Min (English) Tang, Ling (not in RePEc) Yue, Xingye (not in RePEc)

Score contribution per author:

0.673 = (α=2.02 / 3 authors) × 1.0x B-tier

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

Abstract

We aim to calibrate stochastic volatility models from option prices. We develop a Tikhonov regularization approach with an efficient numerical algorithm to recover the risk neutral drift term of the volatility (or variance) process. In contrast to most existing literature, we do not assume that the drift term has any special structure. As such, our algorithm applies to calibration of general stochastic volatility models. An extensive numerical analysis is presented to demonstrate the efficiency of our approach. Interestingly, our empirical study reveals that the risk neutral variance processes recovered from market prices of options on S&P 500 index and EUR/USD exchange rate are indeed linearly mean-reverting.

Technical Details

RePEc Handle
repec:eee:dyncon:v:64:y:2016:i:c:p:66-81
Journal Field
Macro
Author Count
3
Added to Database
2026-01-25