Hostname: page-component-7bb8b95d7b-2h6rp Total loading time: 0 Render date: 2024-09-18T03:16:42.815Z Has data issue: false hasContentIssue false

The Estimation of Quality-Adjusted Auction Returns with Varying Transaction Intervals

Published online by Cambridge University Press:  06 April 2009

Abstract

Previous research has separately addressed the problem of estimating risk in the presence of infrequent trading and the problem of estimating quality-adjusted returns in markets with quality variation in the observed price series. This paper simultaneously addresses both problems by applying a signal extraction method for unequally spaced data to decompose the observed price series with varying times between transactions into a quality-adjusted, permanent component (which would be observable in the absence of quality variation) plus a stationary, transitory quality variation component. Stamp auction transaction prices provide an application. Auction quality grading is treated in a manner analogous to bond ratings. Almost all of the observed variance is attributed to the auction quality variation. The observed auction returns and stock index returns are not well related.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ansley, C. F. “Signal Extraction in Finite Series and the Estimation of Stochastic Regression Coefficients.” Proceedings of the American Statistical Association, Business and Economic Statistics Section, (1980), 251255.Google Scholar
Ansley, C. F., and Wecker, W. E.. “Extensions and Examples of the Signal Extraction Approach to Regression.” Unpubl. manuscript, Univ. of Chicago (10 1981).Google Scholar
Cassady, R. Jr, Auctions and Auctioneering. Berkeley and Los Angeles: Univ. of California Press (1967).CrossRefGoogle Scholar
Cleveland, W. P. Jr, “Analysis and Forecasting of Seasonal Time Series.” Ph.D. diss., Univ. of Wisconsin, Madison (1972).Google Scholar
Cleveland, W. P. Jr, and Tiao, G. C.. “Decomposition of Seasonal Time Series: A Model for the Census X-11 Program.” Journal of the American Statistical Association, 71 (09 1976), 581587.CrossRefGoogle Scholar
Dimson, E.Risk Measurement when Shares are Subject to Infrequent Trading.” Journal of Financial Economics, 7 (06 1979), 197226.CrossRefGoogle Scholar
Dimson, E., and Marsh, P.. “The Stability of UK Risk Measures and the Problems of Thin Trading.” Journal of Finance, 38 (06 1983), 753783.CrossRefGoogle Scholar
Fowler, D. J., and Rorke, C. H.. “Risk Measurement when Shares are Subject to Infrequent Trading: Comment.” Journal of Financial Economics, 12 (08 1983), 279283.CrossRefGoogle Scholar
Griliches, Z. (ed.). Price Indexes and Quality Change. Cambridge, MA: Harvard Univ. Press (1971).CrossRefGoogle Scholar
Herst, H. Jr, Fun and Profit in Stamp Collecting. New York: Meredith Press (1962).Google Scholar
McAfee, R. P., and McMillan, J.. “Auctions and Bidding.” Journal of Economic Literature, 25 (06 1987), 699738.Google Scholar
Roll, R.A Simple Model of the Implicit Bid Ask Spread in an Efficient Market.” Journal of Finance, 39 (09 1984), 11271139.Google Scholar
Scholes, M., and Williams, J.. “Estimating Betas from Nonsynchronous Data.” Journal of Financial Economics, 5 (12 1972), 309327.CrossRefGoogle Scholar
Schwert, G. W.Stock Exchange Seats as Capital Assets.” Journal of Financial Economics, 4 (01 1977), 5178.CrossRefGoogle Scholar
Siegel Auction Catalogs and Prices Realized Lists. New York: Robert A. Siegel Auction Galleries, Inc. (19631986).Google Scholar
Stein, J. P.The Monetary Appreciation of Paintings.” Journal of Political Economy, 85 (07 1977), 10211054.CrossRefGoogle Scholar
Taylor, W. M.The Estimation of Quality-Adjusted Rates of Return in Stamp Auctions.” Journal of Finance, 38 (09 1983), 10951110.Google Scholar
Wagenheim, K.Paper Gold: How to Hedge against Inflation by Investing in Postage Stamps. New York: Peter H. Wyden (1976).Google Scholar
Watson, M. W.Univariate Detrending Methods with Stochastic Trends.” Journal of Monetary Economics, 18 (07 1986), 4975.CrossRefGoogle Scholar
Wecker, W. E., and Ansley, C. F.. “The Signal Extraction Approach to Nonlinear Regression and Spline Smoothing.” Journal of the American Statistical Association, 78 (03 1988), 8189.CrossRefGoogle Scholar
Wiener, N.Extrapolation, Interpolation and Smoothing of Stationary Time Series. New York: John Wiley & Sons, Inc. (1949).CrossRefGoogle Scholar