Recent theory has demonstrated that the Arbitrage Pricing Model with K factors critically depends on whether K eigenvalues dominate the covariance matrix of returns as the number of securities grows large. The purpose of this paper is to test whether sample covariance matrices can be characterized as having K large eigenvalues. Using all available data on the 1983 CRSP tapes, we compute sample covariance matrices of returns in sequentially larger portfolios of securities. Analyzing their eigenvalues, we find evidence that one eigenvalue dominates the covariance matrix indicating that a one‐factor model may describe security pricing. We also find that, for values of K larger than one, there is no obvious way to choose the number of factors. Nevertheless, we find that while only the first eigenvalue dominates the matrix, the first five eigenvalues are growing more distinct.

Recent theory has demonstrated that the Arbitrage Pricing Model with K factors critically depends on whether K eigenvalues dominate the covariance matrix of returns as the number of securities grows large. The purpose of this paper is to test whether sample covariance matrices can be characterized as having K large eigenvalues. Using all available data on the 1983 CRSP tapes, we compute sample covariance matrices of returns in sequentially larger portfolios of securities. Analyzing their eigenvalues, we find evidence that one eigenvalue dominates the covariance matrix indicating that a one-factor model may describe security pricing. We also find that, for values of K larger than one, there is no obvious way to choose the number of factors. Nevertheless, we find that while only the first eigenvalue dominates the matrix, the first five eigenvalues are growing more distinct.

This paper reports a new test of two competing theories of the relation between tax‐exempt and taxable interest rates. The Miller hypothesis predicts that the tax‐exempt rate is 52 percent of the taxable rate, while the institutional demand hypothesis predicts a volatile relationship. The tests in this paper employ a random intercept model to control for the risk of average interest rates. The results favor the Miller hypothesis. Marginal tax rates are found to be close to Miller's predicted 48 percent. The relationship is not influenced by relative demand or supply and the marginal tax rate appears stable over time.

This paper reports a new test of two competing theories of the relation between tax-exempt and taxable interest rates. The Miller hypothesis predicts that the tax-exempt rate is 52 percent of the taxable rate, while the institutional demand hypothesis predicts a volatile relationship. The tests in this paper employ a random intercept model to control for the risk of average interest rates. The results favor the Miller hypothesis. Marginal tax rates are found to be close to Miller's predicted 48 percent. The relationship is not influenced by relative demand or supply and the marginal tax rate appears stable over time.

David S. Kidwell, Charles A. Trzcinka, The Impact of the New York City Fiscal Crisis on the Interest Cost of New Issue Municipal Bonds, The Journal of Financial and Quantitative Analysis, Vol. 18, No. 3 (Sep., 1983), pp. 381-399

We examine the cross-sectional pricing equation of the APT using the elements of eigenvectors and the maximum likelihood factor loadings of the covariance matrix of returns as measures of risk. The results indicate that, for data assumed stationary over twenty years, the first vector is a surprisingly good measure of risk when compared with either a one- or a five-factor model or a five-vector model. We conclude that in some circumstances principal components analysis may be preferred to factor analysis.

Strong‐form efficiency on the Toronto Stock Exchange is examined by focusing on the stock price forecasts of brokerage‐firm analysts who follow TSE firms. Two principal analyses are undertaken. First, there is considerable evidence in both the U.S. and U.K. that analysts possess valuable private information at the firm‐specific level. This paper provides evidence that this finding is generalizable to Canadian analysts. Second, U.S. and U.K. studies generally have been based on a single‐factor model (e.g., the CAPM). The choice of benchmarks (CAPM versus APT) has been shown to be important in a variety of contexts. We provide evidence that the choice of benchmark does not alter the fundamental conclusion that Canadian analysts possess valuable private information at the firm‐specific level. Our findings have implications for accounting researchers, namely, the appropriateness of researchers to use CAPM in lieu of the computationally, more burdensome APT and the appropriateness of researchers to use Canadian analyst forecasts when a proxy is required for the (unobservable) market expectation. Résumé. Les auteurs examinent l'efficience « forte » de la Bourse de Toronto, en s'intéressant aux prévisions relatives au prix des actions formulées par les analystes des sociétés de courtage qui suivent les entreprises de la Bourse de Toronto. Deux analyses principales les mènent aux conclusions suivantes. Premièrement, les faits démontrent presque indubitablement que sur le marché des États‐Unis aussi bien que sur celui du Royaume‐Uni, les analystes possèdent de l'information à caractère privé utile, spécifique à l'entreprise. Les résultats de l'étude démontrent que cette constatation peut être généralisée aux analystes canadiens. Deuxièmement, les études des États‐Unis et du Royaume‐Uni sont généralement fondées sur un modèle à un seul facteur (le modèle d'équilibre des marchés financiers, par exemple). Il a été établi que le choix des critères (le modèle d'équilibre des marchés financiers ou la théorie de l'établissement des prix par arbitrage) est important dans des circonstances très diverses. Les auteurs démontrent que le choix des critères n'a aucune incidence sur la conclusion fondamentale selon laquelle les analystes canadiens possèdent de l'information à caractère privé utile, spécifique à l'entreprise. Les résultats de leur étude entrainent certaines conséquences pour les chercheurs du domaine de la comptabilité: ils ont avantage à utiliser le modèle d'équilibre des marchés financiers de préférence à la théorie de l'établissement des prix par arbitrage, qui exige davantage de calculs, et à recourir aux prévisions des analystes canadiens lorsqu'il leur faut un substitut aux anticipations du marché (qui ne peuvent étre observées).

Jarl G. Kallberg, Crocker L. Liu, Charles Trzcinka, The Value Added from Investment Managers: An Examination of Funds of REITs, The Journal of Financial and Quantitative Analysis, Vol. 35, No. 3 (Sep., 2000), pp. 387-408

This paper's findings suggests that the New York City fiscal crisis by itself did not lead to a fundamental change in risk perceptions of investors, resulting in higher interest rates in the municipal bond market. The monthly prediction errors generated by time series tests were relatively small and none were statistically significant. Only the signs on the prediction errors for June, July, and August were consistent with a New York City effect. Thus, if the New York City default had an impact on aggregate interest rates, it was at most small and of short duration.