Decomposition of a Certain Cash Flow Stream: Differential Systemic Value and Net Final Value

Magni, Carlo Alberto (2000): Decomposition of a Certain Cash Flow Stream: Differential Systemic Value and Net Final Value. Published in: Proceedings of the XXIV Annual AMASES Conference No. September 6-9th (6 September 2000): pp. 163-170.

Abstract

This paper proposes a new way of decomposing net present values and net final values in periodic shares. Such a decomposition generates a new notion of residual income, radically different from the classical one available in the financial and accounting literature. While the standard residual income is formally computed as profit minus cost of capital times actual capital invested, the new paradigm introduces a fourth element: the capital invested in the so-called shadow project. Such a capital is the counterfactual capital that the investor would own if, at time 0, he invested his funds at the cost of capital, rather than in the project. Two important features are found: in primis, the new residual income is obtained as the sum of the standard residual incomes and the interest earned on past standard residual incomes; in secundis, the new paradigm is shown to be additive: the net final value of the project is computed as the sum of all periodic shares (residual incomes) with no capitalization process (abnormal earnings aggregation). A generalization is provided for a levered portfolio of projects, and a fourthfold decomposition is reached: (i) periodic decomposition, (ii) opportunity account decomposition, (iii) project decomposition, (iv) financing decomposition.

• Item Type: MPRA Paper
• Language: English
• Keywords: net present value, net final value, decomposition, residual income, systemic value, finance, accounting, quantitative methods
• Subjects: D - Microeconomics > D4 - Market Structure, Pricing, and Design > D46 - Value Theory; G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates; G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions; M - Business Administration and Business Economics ; Marketing ; Accounting ; Personnel Economics > M4 - Accounting and Auditing > M41 - Accounting; C - Mathematical and Quantitative Methods > C0 - General; G - Financial Economics > G3 - Corporate Finance and Governance > G31 - Capital Budgeting ; Fixed Investment and Inventory Studies ; Capacity; M - Business Administration and Business Economics ; Marketing ; Accounting ; Personnel Economics > M2 - Business Economics > M21 - Business Economics