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Monetary Valuation Of Cash Flows Under Knightian Uncertainty

In: Finance at Fields

Author

Listed:
  • HANS FÖLLMER

    (Humboldt-Universitä zu Berlin, Institut für Mathematik, Unter den Linden 6, 10099 Berlin, Germany)

  • IRINA PENNER

    (Humboldt-Universitä zu Berlin, Institut für Mathematik, Unter den Linden 6, 10099 Berlin, Germany)

Abstract

The classical valuation of an uncertain cash flow in discrete time consists in taking the expectation of the sum of the discounted future payoffs under a fixed probability measure, which is assumed to be known. Here we discuss the valuation problem in the context of Knightian uncertainty. Using results from the theory of convex risk measures, but without assuming the existence of a global reference measure, we derive a robust representation of concave valuations with an infinite time horizon, which specifies the interplay between model uncertainty and uncertainty about the time value of money.

Suggested Citation

  • Hans Föllmer & Irina Penner, 2012. "Monetary Valuation Of Cash Flows Under Knightian Uncertainty," World Scientific Book Chapters, in: Matheus R Grasselli & Lane P Hughston (ed.), Finance at Fields, chapter 10, pages 249-263, World Scientific Publishing Co. Pte. Ltd..
  • Handle: RePEc:wsi:wschap:9789814407892_0010
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