MCholV {MTS}

Multivariate Cholesky Volatility Model

Description

Use Cholesky decomposition to obtain multivariate volatility models

Usage

MCholV(rtn, size = 36, lambda = 0.96, p = 0)

Arguments

rtn

A T-by-k data matrix of a k-dimensional asset return series.

size

The initial sample size used to start recursive least squares estimation

lambda

The exponential smoothing parameter. Default is 0.96.

p

VAR order for the mean equation. Default is 0.

Details

Use recursive least squares to perform the time-varying Cholesky decomposition. The least squares estimates are then smoothed via the exponentially weighted moving-average method with decaying rate 0.96. University GARCH(1,1) model is used for the innovations of each linear regression.

Value

betat

Recursive least squares estimates of the linear transformations in Cholesky decomposition

bt

The transformation residual series

Vol

The volatility series of individual innovations

Sigma.t

Volatility matrices

Author(s)

Ruey S. Tsay

References

Tsay (2014, Chapter 7)

See Also

fGarch