Knowledge that Transforms

When the assumption of constant risk premiums is relaxed, financial valuation models may be tested, and risk measures estimated without specifying a market index or state variables. This is accomplished by examining the behavior of conditional expected returns. The approach is developed using a single risk premium asset pricing model as an example and then extended to models with multiple risk premiums. The methodology is illustrated using daily return data on the common stocks of the Dow Jones 30. The tests indicate that these returns are consistent with a single, time-varying risk premium.

This paper measures the effects on stock proces of corporate investments in 5% or more of another company's equity securities. Such investments initiate a process that may end with a takeover, targeted repurchase, takeover by a third party, or sale of the shares. The total valuation effect of the investment for acquiring and target firms includes returns at disclosure of the investment position, the outcome announcement, and related intervening events. For example, the positive return for target firms at initial disclosure of the investment more than offsets the negative return at a targeted repurchase.

Shanken (1985) derives a test for the zero-beta capital asset pricing model (CAPM) which, as he points out, is equivalent to a test of the mean/variance efficiency of the market portfolio. This note illustrates the geometry of Shanken's test in the mean/variance space.

The presence of traders with superior information leads to a positive bid-ask spread even when the specialist is risk-neutral and makes zero expected profits. The resulting transaction prices convey information, and the expectation of the average spread squared times volume is bounded by a number that is independent of insider activity. The serial correlation of transaction price differences is a function of the proportion of the spread due to adverse selection. A bid-ask spread implies a divergence between observed returns and realizable returns. Observed returns are approximately realizable returns plus what the uninformed anticipate losing to the insiders.

We investigate stock market rationality by examining the timeliness and unbiasedness of the market's response to dividend announcements. Our initial findings for market timeliness show a sluggish market reaction to dividend announcements; however, when the ex-dividend effect is controlled for, we find no evidence of a sluggish market reaction. We examine the unbiasedness of the market's response by testing whether the net announcement effect across a sample that is devoid of ex-post selection bias sums to zero. We observe a significant positive net announcement effect and examine several plausible conjectures for this puzzling phenomenon, but none provides a satisfactory explanation.

This paper presents a model of stock price reactions to partially anticipated events. The model formalizes the intuition that stock price reactions reflect both the economic importance of events and the extent to which events are surprises. Unbiased estimates of the economic importance of partially anticipated events must combine stock price reactions to events with stock price movements in periods when no event occurs. The model is used to estimate the value of acquisition attempts made by frequently acquiring firms. For a sample of thirty active acquirers, the evidence indicates that acquisition attempts were profitable investment projects.

A ‘cross-sectional regression test’ (CSRT) of the CAPM is developed and its connection to the Hotelling T2 test of multivariate statistical analysis is explored. Algebraic relations between the CSRT, the likehood ratio test and the Langrange multiplier test are derived and a useful small-sample bound on the distribution function of the CSRT is obtained. An application of the CSRT suggests that the CRSP equally-weighted index is inefficient, but that the inefficiency is not explained by a firm size-effect from February to December.

Optimal policies for selling a risky depreciable asset with proportional taxes and transaction costs are derived for a representative investor who maximizes the market value of his investment. Also calculated are the market value of his investment and the competitive price of the depreciable asset. Depending upon the values of various parameters, the investor realizes either capital gains and no losses, capital losses and no gains, or neither gains nor losses. Additional properties of the solution are derived numerically.

We examine the utility of the statistical factor model of the process generating stock returns in the context of event studies. For a variety of estimation procedures and experimental designs we find limited value added relative to the use of a simple market model. We would attribute this finding to misspecification of the statistical factor analysis model, and suspect that there exist more robust procedures for estimating the factor structure of stock returns.

This paper analyzes the pricing of two types of secured debt and shows that secured debt can be used to increase the value of the firm. In particular, it is shown that some profitable projects will not be undertaken by a firm which can use only equity or unsecured debt to finance them but will be undertaken if they can be financed with secured debt. Secured debt is priced for a firm with two assets and some unsecured debt outstanding. The pricing results are used to illustrate the benefits of the security provision of secured debt.