MEAN REVERSION
IN STOCK INDEX FUTURES
MARKETS: A NONLINEAR
ANALYSIS
MICHAEL MONOYIOS
LUCIO SARNO*
Several stylized theoretical models of futures basis behavior under nonzero
transactions costs predict nonlinear mean reversion of the futures basis
towards its equilibrium value. Nonlinearly mean-reverting models are
employed to characterize the basis of the S&P 500 and the FTSE 100
indices over the post-1987 crash period, capturing empirically these theoretical
predictions and examining the view that the degree of mean reversion
in the basis is a function of the size of the deviation from equilibrium.
The estimated half lives of basis shocks, obtained using Monte Carlo integration
methods, suggest that for smaller shocks to the basis level the basis
displays substantial persistence, while for larger shocks the basis exhibits
highly nonlinear mean reversion towards its equilibrium value. © 2002
Wiley Periodicals, Inc. Jrl Fut Mark 22:285â314, 2002
http://people.maths.ox.ac.uk/~monoyios/docs/mm_sarno_jfm02.pdf
IN STOCK INDEX FUTURES
MARKETS: A NONLINEAR
ANALYSIS
MICHAEL MONOYIOS
LUCIO SARNO*
Several stylized theoretical models of futures basis behavior under nonzero
transactions costs predict nonlinear mean reversion of the futures basis
towards its equilibrium value. Nonlinearly mean-reverting models are
employed to characterize the basis of the S&P 500 and the FTSE 100
indices over the post-1987 crash period, capturing empirically these theoretical
predictions and examining the view that the degree of mean reversion
in the basis is a function of the size of the deviation from equilibrium.
The estimated half lives of basis shocks, obtained using Monte Carlo integration
methods, suggest that for smaller shocks to the basis level the basis
displays substantial persistence, while for larger shocks the basis exhibits
highly nonlinear mean reversion towards its equilibrium value. © 2002
Wiley Periodicals, Inc. Jrl Fut Mark 22:285â314, 2002
http://people.maths.ox.ac.uk/~monoyios/docs/mm_sarno_jfm02.pdf
