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An Analytical Examination of the Intervaling Effect on Skewness and Other Moments

Journal of Financial and Quantitative Analysis 1980 15(5), 1121
The purpose of this paper is to demonstrate mathematically that the skewness of securities' returns--the ratio of the third moment to the standard deviation cubed--is sensitive to the length of the differencing interval over which returns are measured. Empirical observations of this so-called intervaling effect on skewness have been reported in at least three articles in this Journal. There have been no attempts, however, to examine this effect analytically. The empirical evidence presented in the literature is often contradictory and remains unexplained because of a lack of an analytical insight into the causes of the intervaling effect.

Yield Approximations: A Historical Perspective

Journal of Finance 1982 37(1), 145-156
ABSTRACT This paper traces the historical developments of the efforts to find simple and accurate methods of approximating an annuity's implicit yield and a bond's yield to maturity. It is shown that the little known history of yield approximations is nevertheless very rich, with contributions dating as far back as the late seventeenth century. It is also shown that the standard textbook approximation formula for the bond's yield to maturity is the least accurate of a large family of formulas, some of which were suggested as early as 1855.

Friction in the trading process and the estimation of systematic risk

Journal of Financial Economics 1983 12(2), 263-278
This paper considers how estimates of the market model beta parameter can be biased by friction in the trading process (information, decision, and transaction costs) that (a) leads to a distinction between observed and ‘true’ returns; (b) causes observed returns to be generated asynchronously for a set of interdependent securities; and (c) thereby introduces serial cross-correlation into security returns. Several propositions are derived from which consistent estimators of beta are obtained, and the effect of differencing interval length on beta estimates is specified. The formulation is contrasted with the related analyses of Scholes-Williams (1977) and Dimson (1979).