2005Studies in Economics and EconometricsRequires access

The Relationship Between Economic Value Added, Net Present Value and True Return

Johann U. de Villiers

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Abstract

This paper investigates the relationship between economic value added (EVA) and the net present value (NPV) of projects, and especially the extent to which this is influenced by arbitrary depreciation schedules. For any depreciation schedule, the discounted EVA of a project is identical to its NPV. In project evaluation, EVA therefore overcomes the differences between earnings and cash flow introduced by arbitrary depreciation schedules. The paper also investigates the relationship between the true return of a project or a firm and the EVA reported by a project once in operation or the EVA reported by a firm. In these applications, the distortions caused by arbitrary depreciation schedules remain. Standardised EVA equals the true excess return for a firm that charges economic depreciation, or for a firm that grows at its IRR. In other instances large discrepancies are possible, and the use of standardised EVA as an indication of true excess return is potentially misleading.

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What this paper is about

This paper investigates the relationship between economic value added (EVA) and the net present value (NPV) of projects, and especially the extent to which this is influenced by arbitrary depreciation schedules. For any depreciation schedule, the discounted EVA of a project is identical to its NPV. In project evaluation, EVA therefore overcomes the differences between earnings and cash flow introduced by arbitrary depreciation schedules. The paper also investigates the relationship between the true return of a project or a firm and the EVA reported by a project once in operation or the EVA reported by a firm. In these applications, the distortions caused by arbitrary depreciation schedules remain. Standardised EVA equals the true excess return for a firm that charges economic depreciation, or for a firm that grows at its IRR. In other instances large discrepancies are possible, and the use of standardised EVA as an indication of true excess return is potentially misleading.

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Available abstract

This paper investigates the relationship between economic value added (EVA) and the net present value (NPV) of projects, and especially the extent to which this is influenced by arbitrary depreciation schedules. For any depreciation schedule, the discounted EVA of a project is identical to its NPV. In project evaluation, EVA therefore overcomes the differences between earnings and cash flow introduced by arbitrary depreciation schedules. The paper also investigates the relationship between the true return of a project or a firm and the EVA reported by a project once in operation or the EVA reported by a firm. In these applications, the distortions caused by arbitrary depreciation schedules remain. Standardised EVA equals the true excess return for a firm that charges economic depreciation, or for a firm that grows at its IRR. In other instances large discrepancies are possible, and the use of standardised EVA as an indication of true excess return is potentially misleading.

Key concepts: Depreciation (economics), Economics, Economic Value Added, Consumption of fixed capital, Net present value, Cash flow, Earnings, Present value

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