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Hierarchical Contract, Firm Size, and Pay Sensitivity

  • Hyeng Keun Koo School of Business Administration, Ajou University, Suwon
  • Gyoocheol Shim The Bank of Korea, Seoul, 100794, Korea
  • Jaeyoung Sung Department of Finance (M/C 168), University of Illinois at Chicago, 601 South Morgan Street, Chicago, Illinois
We present a moral-hazard-based hierarchical contracting model, where investors con- tract the top manager and the top manager contracts all middle managers. We compare e¢çects of hierarchical contracting on managerial contract sensitivities with those of a di- rect contracting benchmark where investors directly contract all managers. We argue that under hierarchical contracting, the top manager shifts his compensation risk to middle man- agers by providing middle managers with higher-powered incentive contracts than would be desired by investors under direct contracting. It is striking that this top managerial risk- shifting behavior motivates investors to design the top managerial contract in such a way that the top-managerial hierarchical contract sensitivity approaches either the ?rst best or zero, as the ?rm size grows. However, under some reasonable conditions such as correlated managerial e¢çort outcomes, the top managerial sensitivity quickly approaches zero as the ?rm size increases, and consequently, the sensitivity for large ?rms can be far lower than predicted by the standard agency theory. This result can serve as an explanation of widely observed ?rm-size e¢çects on CEO compensations, namely, lower pay sensitivities for large ?rms than those for small ?rms. We also argue that even when investors are risk-neutral and then individual performance outcomes of nonexecutive employees may be very weakly correlated to the total outcome of the ?rm, company-wide bonus plans for nonexecutive employees can still be justi?ed under hierarchical contracting.

  • Hyeng Keun Koo
  • Gyoocheol Shim
  • Jaeyoung Sung
We present a moral-hazard-based hierarchical contracting model, where investors con- tract the top manager and the top manager contracts all middle managers. We compare e¢çects of hierarchical contracting on managerial contract sensitivities with those of a di- rect contracting benchmark where investors directly contract all managers. We argue that under hierarchical contracting, the top manager shifts his compensation risk to middle man- agers by providing middle managers with higher-powered incentive contracts than would be desired by investors under direct contracting. It is striking that this top managerial risk- shifting behavior motivates investors to design the top managerial contract in such a way that the top-managerial hierarchical contract sensitivity approaches either the ?rst best or zero, as the ?rm size grows. However, under some reasonable conditions such as correlated managerial e¢çort outcomes, the top managerial sensitivity quickly approaches zero as the ?rm size increases, and consequently, the sensitivity for large ?rms can be far lower than predicted by the standard agency theory. This result can serve as an explanation of widely observed ?rm-size e¢çects on CEO compensations, namely, lower pay sensitivities for large ?rms than those for small ?rms. We also argue that even when investors are risk-neutral and then individual performance outcomes of nonexecutive employees may be very weakly correlated to the total outcome of the ?rm, company-wide bonus plans for nonexecutive employees can still be justi?ed under hierarchical contracting.
hierarchical contract,?rm size,pay sensitivity,CEO compensation,middle managerial contract,principal-agent problem,many agents,moral hazard,team,perfor-mance measure,continuous-time model