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Size Variables In Audit Fee Models: An Examination Of The Effects Of Alternative Mathematical Transformations, Charles Cullinan, Hui Du, Xiaochuan Zheng

Accounting Department Faculty Journal Articles

We consider the mathematical transformations used for assets of different valuation complexity in audit fee models. These mathematical transformations (such as logs and square roots) relate to the non-linear relationship between client size and audit fees. We use closed-end mutual fund audits to examine this question because virtually all fund assets are reported at fair value. We find that more complexly valued assets are less likely to follow the traditional log transformation because the presence of these assets has a stronger relationship with audit fees that is not fully captured by the coefficient on the logged variable alone. The significance …