A remark on Lin and Chang's paper ‘Consistent modeling of S&P 500 and VIX derivatives’

B-Tier
Journal: Journal of Economic Dynamics and Control
Year: 2012
Volume: 36
Issue: 5
Pages: 708-715

Authors (4)

Cheng, Jun (not in RePEc) Ibraimi, Meriton (not in RePEc) Leippold, Markus (Universität Zürich) Zhang, Jin E. (not in RePEc)

Score contribution per author:

0.503 = (α=2.01 / 4 authors) × 1.0x B-tier

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

Abstract

Lin and Chang (2009, 2010) establish a VIX futures and option pricing theory when modeling S&P 500 index by using a stochastic volatility process with asset return and volatility jumps. In this note, we prove that Lin and Chang's formula is not an exact solution of their pricing equation. More generally, we show that the characteristic function of their pricing equation cannot be exponentially affine, as proposed by them. Furthermore, their formula cannot serve as a reasonable approximation. Using the (Heston, 1993) model as a special case, we demonstrate that Lin and Chang formula misprices VIX futures and options in general and the error can become substantially large.

Technical Details

RePEc Handle
repec:eee:dyncon:v:36:y:2012:i:5:p:708-715
Journal Field
Macro
Author Count
4
Added to Database
2026-01-25