Elasticities and the Inverse Hyperbolic Sine Transformation

Marc F. Bellemare, Casey J. Wichman

Research output: Contribution to journalArticlepeer-review

305 Scopus citations


Applied econometricians frequently apply the inverse hyperbolic sine (or arcsinh) transformation to a variable because it approximates the natural logarithm of that variable and allows retaining zero-valued observations. We provide derivations of elasticities in common applications of the inverse hyperbolic sine transformation and show empirically that the difference in elasticities driven by ad hoc transformations can be substantial. We conclude by offering practical guidance for applied researchers.

Original languageEnglish (US)
Pages (from-to)50-61
Number of pages12
JournalOxford Bulletin of Economics and Statistics
Issue number1
StatePublished - Feb 1 2020

Bibliographical note

Publisher Copyright:
© 2019 The Department of Economics, University of Oxford and John Wiley & Sons Ltd


  • Elasticities
  • Elasticity
  • Inverse Hyperbolic Sine


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