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Arithmetic versus geometric mean estimators: Setting discount rates for capital budgeting
Author(s) -
Cooper Ian
Publication year - 1996
Publication title -
european financial management
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.311
H-Index - 64
eISSN - 1468-036X
pISSN - 1354-7798
DOI - 10.1111/j.1468-036x.1996.tb00036.x
Subject(s) - geometric mean , estimator , mathematics , econometrics , weighted arithmetic mean , estimation , statistics , mean squared error , capital budgeting , economics , arithmetic , finance , management , project appraisal
This paper addresses an issue central to the estimation of discount rates for capital budgeting: should the geometric mean or arithmetic mean of past data be used when estimating the discount rate? the use of the arithmetic mean ignores estimation error and serial correlation in returns. Unbiased discount factors have been derived that correct for both these effects. In all cases, the corrected discount rates are closer to the arithmetic than the geometric mean.