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Demand functions in Polish Treasury auctions

Author

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  • Michał Krawczyk

    (Warsaw University, Faculty of Economic Sciences)

Abstract

I introduce a new approach to modeling aggregate bidding functions (demand functions) submitted by participants of share auctions, the one based on (scaled) normal cumulative distribution functions. I provide a simple model illustrating how normal cdf-shaped demand might arise. Then, using new data from the Polish Treasury securities auctions, I show first, that assumptions of the model underlying the normal cdf specification fit the stylized characteristics of the data set and, second, that this approach actually generates a slightly better fit than the traditional approximation by logistic function. I also relate the parameters of the fitted function to economic variables known prior to the auction. This method appears to be a useful tool for early detection of slumps in the performance of a particular auction design.

Suggested Citation

  • Michał Krawczyk, 2009. "Demand functions in Polish Treasury auctions," Bank i Kredyt, Narodowy Bank Polski, vol. 40(4), pages 31-49.
  • Handle: RePEc:nbp:nbpbik:v:40:y:2009:i:4:p:31-49
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Treasury auctions; normal cumulative distribution function; underpricing;
    All these keywords.

    JEL classification:

    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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