298 VALUATION, DEPRECIATION AND THE RATE-BASE capital which the owner has invested and in part on the cost of operation. The allowance for hazard if considered apart from obsolescence and from losses due to fortuitous events, which should ultimately fall on the public and not on the owner, will ordinarily be small, and, if expressed in figures at all, can be readily brought into relation to the volume of business. It is not logical to bring it into relation to value which may be made up largely of intangibles. It is not logical either to bring it into definite relation to the natural rate-base. Hazard, too, there- fore, had best be brought into some relation to the volume of business. D — Volume of Business Public Utility Rates and the Volume of Business. — In pre- senting the following ideas relating to the profit which the public utility should earn, the writer disclaims any intent to appear as an advocate of limiting the profit which the owner of the public utility can make at reasonable charges for the service rendered or the commodity furnished. When the owner succeeds by efficient management in keeping operating expenses low he is entitled to a suitable reward. His treatment by those who are charged with regulating rates should be such that efficient man- agement will be encouraged and not discouraged. The sugges- tions which follow should be considered in the light of these qualifying statements. The compensation to which the owners of public utilities are entitled for management and business hazards, or, speaking broadly, the profit to which they are entitled, cannot be brought into any definite, universally applicable relation to the capital invested in such enterprises. Another element, the volume of business, deserves consideration in this connection. That there should, in the case of every legitimate public utility, be some profit will be admitted. This profit will appear as an excess of earnings, present and prospective, over a fair allowance for the use of the money invested in the utility, pro- vision having first been made for operating expenses and replace-