9.2 Macroeconometric Factor Models

For macroeconomic factor models, the factors are observed and we can apply the least-squares method to the MLR model in Eq. (9.4) to perform estimation. The estimate is

inline

from which the estimates of inline and inline are readily available. The residuals of Eq. (9.4) are

inline

Based on the model assumption, the covariance matrix of inline is estimated by

inline

where inline is the (i, i)th element of inline. Furthermore, the R2 of the ith asset of Eq. (9.3) is

inline

where inline denotes the (i, i)th element of the matrix ...

Get Analysis of Financial Time Series, Third Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.