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47
Moving Average Models
• The MA(1) model must be estimated by numerical
optimization of the likelihood function.
– First set the unobserved
– Second, set parameter starting values for , ,
and .
– We can use the average of for , use 0 for
and use the sample variance of for
• Now compute time series of residuals via
Elements of Financial Risk Management Second Edition © 2012 by Peter Christoffersen