The authors examine the cross-sectional pricing equation of the arbitrage pricing theory 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-factor or a five-factor model or a five-vector model. The authors conclude that principal components analysis may be preferred to factor analysis in some circumstances.
We study cross-subsidization among U.S. equity products managed by institutional asset management firms. We find returns-based evidence consistent with both cross-subsidization receipt by strong recent performers that are relatively small in their firms and provision by products that are relatively large in their firms. Tax-exempt investors and taxable investors do not have a clear ranking by expertise, but tax-exempt investors’ agency issues are more complex. Accordingly, taxable clients have more flow-performance nonlinearity and receive more (and provide less) cross-subsidization. Taxable investor flows appear more discerning, but only under the circumstances conducive to cross-subsidization, suggesting that “more discerning” likely means “more cross-subsidized.”
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.
[Transaction costs are important for a host of empirical analyses from market efficiency to international market research. But transaction costs estimates are not always available, or where available, are cumbersome to use and expensive to purchase. We present a model that requires only the time series of daily security returns to endogenously estimate the effective transaction costs for any firm, exchange, or time period. The feature of the data that allows for the estimation of transaction costs is the incidence of zero returns. Incorporating zero returns in the return-generating process, the model provides continuous estimates of average round-trip transaction costs from 1963 to 1990 that are 1.2% and 10.3% for large and small decile firms, respectively. These estimates are highly correlated (85%), with the most commonly used transaction cost estimators.]
Journal of Financial and Quantitative Analysis198318(3), 381
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).