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Alternative Asymptotically Optimal Tests and Their Application to Dynamic Specification

Review of Economic Studies 1987 54(4), 665
A method is presented for generating test statistics that share the same first order asymptotic optimality properties of the classical statistics. Generalizing J. Neyman's work (1959), t he linearized classical statistic tests restrictions in implicit func tion form using a parameter estimator that is consistent and symptoti cally normally distributed under the alternative hypothesis. By judic ious choice of estimator and form of restrictions at which to evalua te the statistic, a class of asymptotically optimal statistics is obt ained, among which are numbered some familiar classical statistics. A n application is presented for testing common factor restrictions in a single equation dynamic regression model with moving average distu rbances.

Non-Nested Tests for Competing Models Estimated by Generalized Method of Moments

Econometrica 1992 60(4), 973
Non-nested tests are proposed for competing models estimated by generalized method of moments. Results are presented for non-nested linear regression models with het- eroskedasticity and serial correlation of unknown form and differing instrument validity assumptions. Regression forms of the statistics are also presented. THIS PAPER IS CONCERNED with providing a procedure whereby non-nested models estimated by generalized method of moments (GMM) (Hansen (1982)) may be com- pared. In particular, Cox-type (Cox (1961, 1962)) and encompassing tests (Mizon and Richard (1986)) are proposed. Implicit in such tests is a degree of arbitrariness in the way the statistics are constructed as, typically, the assumptions underlying GMM estima- tion techniques are minimal and do not fully specify the data generation process (DGP) underlying the observable random variables, in contradistinction to the method of maximum likelihood. Our procedures allow the population moment conditions on which GMM estimation of the competing models is based to differ in the conditioning sets under which conditional expectation is taken; such differences may reflect different a priori assumptions concerning the exogeneity status of random variables in the models. These tests may be regarded as generalizations of Singleton (1985). More recent work includes Ghysels and Hall (1990) which requires the specification of the DGP under the null hypothesis and Wooldridge (1990b) which proposes heteroskedasticity-robust tests for non-nested non-linear regression models. Our results are specialized to provide non-nested tests for competing regression models estimated by instrumental variables, where we allow a degree of heteroskedastic- ity and serial correlation in the process generating the disturbance terms, by assuming appropriate mixing conditions (White (1984)), and the instrument validity assumptions to differ across the models; cf. Godfrey (1983, 1984) which assume a scalar covariance matrix for the disturbances and that the set of instruments is valid in both models. Thus, our framework includes models which may be both simultaneous and dynamic. Section 2 describes procedures for obtaining Cox-type and encompassing tests for competing models estimated by GMM. Section 3 specializes these results to competing linear regression models estimated by instrumental variables; regression forms for the statistics are presented. The paper is concluded by Section 4. In our presentation, we eschew detailed regularity assumptions.

Insider reputation and selling decisions: the unwinding of venture capital investments during equity IPOs

Journal of Corporate Finance 1998 4(3), 241-263
Data on selling by venture capitalists during the IPOs of their portfolio companies are used to examine the relation between insider selling decisions and reputation. We hypothesize that, in deciding whether to sell, venture capitalists balance the costs of continued managerial/monitoring involvement against the adverse reaction to selling. Further, they facilitate unwinding of investment positions by developing reputations for not selling overpriced shares. Evidence on the timing of IPOs and selling decisions of venture capitalists confirms the importance of reputation as a determinant of the organization of the venture capital market and as a factor affecting insider selling decisions.

The Choice of Issuance Procedure and the Cost of Competitive and Negotiated Underwriting: an Examination of the Impact of Rule 50

Journal of Finance 1987 42(3), 703-720
Previous research suggests that firms choose negotiated issuance over competitive despite its apparently higher net interest cost. This result is shown to arise partly from failure to correct for a selectivity bias in the choice of issuance procedures. Two stage analysis is used in a model that includes qualitative and limited dependent variables to re‐estimate the net interest cost difference between competitive and negotiated issues. Results support the hypothesis that the choice of issuance procedure is consistent with shareholder wealth maximization. Examination of debt issues subject to Rule 50 of the Public Utility Holding Company Act indicates that the regulation, as applied, is not effective.

The Choice of Issuance Procedure and the Cost of Competitive and Negotiated Underwriting: An Examination of the Impact of Rule 50

Journal of Finance 1987 42(3), 703
Previous research suggests that firms choose negotiated issuance over competitive despite its apparently higher net interest cost. This result is shown to arise partly from failure to correct for a selectivity bias in the choice of issuance procedures. Two stage analysis is used in a model that includes qualitative and limited dependent variables to re-estimate the net interest cost difference between competitive and negotiated issues. Results support the hypothesis that the choice of issuance procedure is consistent with shareholder wealth maximization. Examination of debt issues subject to Rule 50 of the Public Utility Holding Company Act indicates that the regulation, as applied, is not effective.

Higher Order Properties of Gmm and Generalized Empirical Likelihood Estimators

Econometrica 2004 72(1), 219-255
In an effort to improve the small sample properties of generalized method of mo-ments (GMM) estimators, a number of alternative estimators have been suggested. These include empirical likelihood (EL), continuous updating, and exponential tilt-ing estimators. We show that these estimators share a common structure, being members of a class of generalized empirical likelihood (GEL) estimators. We use this structure to compare their higher order asymptotic properties. We find that GEL has no asymptotic bias due to correlation of the moment functions with their Jacobian, eliminating an important source of bias for GMM in models with endo-geneity. We also find that EL has no asymptotic bias from estimating the optimal weight matrix, eliminating a further important source of bias for GMM in panel data models. We give bias corrected GMM and GEL estimators. We also show that bias corrected EL inherits the higher order property of maximum likelihood, that it is higher order asymptotically efficient relative to the other bias corrected estimators.

Opportunity Cost of Capital for Venture Capital Investors and Entrepreneurs

Journal of Financial and Quantitative Analysis 2004 39(2), 385-405
We use a database of recent high tech IPOs to estimate opportunity cost of capital for venture capital investors and entrepreneurs. Entrepreneurs face the risk-return tradeoff of the CAPM as the opportunity cost of holding a portfolio that necessarily is underdiversified. For early stage firms, we estimate the effects of underdiversification, industry, and financial maturity on opportunity cost. Assuming a one-year holding period, the entrepreneur's opportunity cost generally is two to four times as high as that of a well-diversified investor. With a 4.0% risk-free rate and 6.0% market risk premium, for the sample average, we estimate the cost of capital of a well-diversified investor to be 11.4%, which equates to 16.7% before the management fees and carried interest of a typical venture capital fund. For an entrepreneur with 25% of total wealth invested in the venture, our corresponding estimate of cost of capital is 40.0%.

Can VCs Time the Market? An Analysis of Exit Choice for Venture-backed Firms

Review of Financial Studies 2011 24(9), 3105-3138
We use a sample of 8, 163 venture-backed companies over three decades to test the competing hypotheses that levels and relative shares of IPO (initial public offering) and M&A (mergers and acquisitions) exits are affected by market timing, versus pseudo-market timing that reflects market conditions. We find evidence of pseudo-market timing. Venture-backed issuers react to market or sector runups but do not predict downturns. We find no evidence that firm-specific market timing contributes to IPO or M&A waves. We also find that acquirers turn to acquisition when other opportunities are unattractive, and that the market may be slow to recognize that such opportunities are declining. The Author 2011. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For Permissions, please e-mail: [email protected]., Oxford University Press.

Why Does Book Building Drive Out Auction Methods of IPO Issuance? Evidence from Japan

Review of Financial Studies 2004 17(4), 1129-1166
We examine Japan's 1997 introduction of book building as an alternative to a previously required hybrid auction method. Despite higher cost for some issuers, all issuers in Japan now select book building. Book building enables more accurate valuation of firms, but gains from accurate valuation are partly redistributive. Thus book building can drive auction-method offerings from the market even if it yields no aggregate benefit. Compared to the auction regime, book building reduces issue costs for large issuers. Auctioning is less costly for small issuers, but appears to foreclose some small firms from issuing. The aggregate costs of book building and auctioning are similar.