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A certain limit of iterated conditional tail expectation

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Advances in Mathematical Economics

Part of the book series: Advances in Mathematical Economics ((MATHECON,volume 13))

Abstract

We consider the continuous limit of iterated Conditional Tail Expectation for a Brownian filtration and show the existence of the limit for some special random variables.

Received: June 18, 2009

Revised: October 21, 2009

JEL classification: C65, G19

Mathematics Subject Classification (2000): 60B05

Research supported by the 21st century COE project, Graduate School of Mathematical Sciences, The University of Tokyo.

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References

  1. Artzner, P., Delbaen, F., Eber, J.M., Heath, D.: Multiperiod risk and coherent multiperiod risk measurement (2003, preprint)

    Google Scholar 

  2. Artzner, P., Delbaen, F., Eber, J.M., Heath, D., Ku, H.: Coherent muliperiod risk measurement (2003, preprint)

    Google Scholar 

  3. Artzner, P., Delbaen, F., Eber, J.M., Heath, D., Ku, H.: Coherent multiperiod risk adjusted values and Bellman’s principle. Ann. Oper. Res. 152, 5–22 (2007)

    Article  Google Scholar 

  4. Cheridito, P., Delbaen, F., Kupper, M.: Coherent and convex risk measure for bounded cádlág processes. Stoch. Proc. Appl. 112, 1–22 (2004)

    Article  Google Scholar 

  5. Hardy, M.R., Wirch, J.L.: The iterated CTE: a dynamic risk measure. North Am. Actuar. J. 8, 62–75 (2004)

    Google Scholar 

  6. Kusuoka, S., Morimoto, Y.: Homogeneous law invariant multiperiod value measures and their limits. J. Math. Sci. Univ. Tokyo 14, 117–156 (2007)

    Google Scholar 

  7. Williams, D.: Probability with martingales. Cambridge: Cambridge University Press 1991

    Book  Google Scholar 

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Correspondence to Shigeo Kusuoka .

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Kusuoka, S. (2010). A certain limit of iterated conditional tail expectation. In: Kusuoka, S., Maruyama, T. (eds) Advances in Mathematical Economics. Advances in Mathematical Economics, vol 13. Springer, Tokyo. https://doi.org/10.1007/978-4-431-99490-9_4

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