 An Aggregation Theorem for the Valuation of Equity Under Linear Information DynamicsDavid Ashton, Terry Cooke and Mark Tippett Journal of Business Finance & Accounting, 2003, vol. 30, issue 3‐4, 413-440 Abstract: We state an Aggregation Theorem which shows that the recursion value of equity is functionally proportional to its adaptation value. Since the recursion value of equity is equal to its book value plus the expected present value of its abnormal earnings, it follows that the adaptation value of equity can normally be determined by a process of simple quadrature. We demonstrate the application of the Aggregation Theorem using two stochastic processes. The first uses the linear information dynamics of the Ohlson (1995) model. The second uses linear information dynamics based on the Cox, Ingersoll and Ross (1985)‘square root’ process. Both these processes lead to closed form expressions for the adaptation and overall market value of equity. There are, however, many other processes which are compatible with the Aggregation Theorem. These all show that the market value of equity will be a highly convex function of its recursion value. The empirical evidence we report for UK companies largely supports the convexity hypothesis. Date: 2003 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:bla:jbfnac:v:30:y:2003:i:3-4:p:413-440 Ordering information: This journal article can be ordered from Access Statistics for this article Journal of Business Finance & Accounting is currently edited by P. F. Pope, A. W. Stark and M. Walker More articles in Journal of Business Finance & Accounting from Wiley Blackwell |
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