By Edwin Burmeister; Richard Roll; Stephen A. Ross; Edwin J. Elton; Martin J. Gruber; Richard Grinold and Ronald N. Kahn
This monograph provides the paintings of 3 teams of specialists addressing using single-factor versions to provide an explanation for safeguard returns: Edwin Burmeister, Richard Roll, and Stephen Ross clarify the fundamentals of Arbitrage Pricing conception and speak about the macroeconomic forces which are the underlying resources of hazard; Edwin J. Elton and Martin J. Gruber current multi-index types and supply assistance on their reliability and usability; and Richard C. Grinold and Ronald N. Kahn tackle multiple-factor versions for portfolio probability.
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Additional resources for A Practitioner's Guide to Factor Models
Although we have argued that canonical correlation is the correct way to determine whether factor structures from one group are the same as those from a second group, the simple correlation pattern between factors is also worth examining in order to see the type of orthogonal transformation that can take place. Table 4 presents the simple correlation between the factors extracted from Samples 1 and 2 for the four-factor and five-factor solutions. 10 occur for the first factor from Sample 1 with the first factor from Sample 2, the second with the second, and so forth.
A similar pattern, although less pronounced, is seen in Factors 2 and 3. Thus, part of what the four-factor model is picking up relative to the one-factor model is a size effect. Factor sensitivity stationarity. Another interesting question is the stability of the sensitivity coefficient, b$ We concentrated on Factor 4 because it generally has the least stable sensitivity of the four factors. Table 7 shows the sensitivity coefficients for Factor 4 for the 15-year period and three nonoverlapping 5-year periods.
For U. S. data, the beta coefficient increases as size decreases, so smaller firms are viewed as having greater risk. For Japanese data, the reverse is true. This result must be interpreted with some caution, however. The firms in the sample are all fairly large. The 400 companies that compose the NRI 400 are selected from among the largest firms on the TSE, which lists 1,100 h s in its first section. Thus, the relationship between size and beta is found in the larger firms of the first section of the TSE.
A Practitioner's Guide to Factor Models by Edwin Burmeister; Richard Roll; Stephen A. Ross; Edwin J. Elton; Martin J. Gruber; Richard Grinold and Ronald N. Kahn