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THE PRIOR SET TAKING A MAXIMAL SCENARIO IN THE REPRESENTATION OF COHERENT RISK MEASURE

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초록

It is proved that `maximum' is actually attained in the following risk measure representation  $$\rho_m(X) = \max_{Q\in \mathcal Q_m} E_Q[-X]. $$

Abstract

It is proved that `maximum' is actually attained in the following risk measure representation $$\rho_m(X) = \max_{Q\in \mathcal Q_m} E_Q[-X]. $$

참고문헌 (9)

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  3. K. Floret, "Weakly compact sets", Lecture Notes in Math., 801 (1980)
  4. H. Follmer, "Stochastic Finance: An introduction in discrete time" (2004), Walter de Gruyter
  5. 김주홍, "THE SET OF PRIORS IN THE REPRESENTATION OF CHOQUET EXPECTATION WHEN A CAPACITY IS SUBMODULAR", 순수 및 응용수학, 22(4), pp.333~342 (2015), 한국수학교육학회
  6. S. Kusuoka, "Advances in Mathematical Economics, Vol. 3", pp.83~95 (2001), Springer
  7. S. Peng, "Backward SDE and related g-expectation, backward stochastic DEs", Pitman, 364, pp.141~159 (1997)
  8. G.Ch. Plug, "Modeling, Measuring and Managing Risk" (2007), World Scientific Publishing Co.
  9. Z. Chen, "Ambiguity, risk and asset returns in continuous time", Econo metrica, 70, pp.1403~1443 (2002)[DOI]

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