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THE MAXIMAL PRIOR SET IN THE REPRESENTATION OF COHERENT RISK MEASURE

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주제분류수학

초록

The set of priors in the representation of coherent risk measure is expressed in terms of quantile function and increasing concave function. We show that the set of prior, Qc in (1.2) is equal to the set of Qm in (1.6), as maximal representing set Qmax defined in (1.7).

Abstract

The set of priors in the representation of coherent risk measure is expressed in terms of quantile function and increasing concave function. We show that the set of prior, Qc in (1.2) is equal to the set of Qm in (1.6), as maximal representing set Qmax defined in (1.7).

참고문헌 (8)

  1. Z. Chen, "Choquet expectation and Peng's g-expectation", The Annals of Probability, 33, pp.1179~1199 (2005)
  2. G. Choquet, "Theory of capacities", Ann. Inst. Fourier (Grenoble), 5, pp.131~195 (1953)
  3. H. FÄollmer, "Stochastic Finance: An introduction in discrete time" (2004), Walter de Gruyter
  4. 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
  5. S. Kusuoka, "Advances in Mathematical Economics. Vol. 3", pp.83~95 (2001), Springer
  6. S. Peng, "Backward SDE and related g-expectation, backward stochastic DEs", Pitman, 364, pp.141~159 (1997)
  7. G. Plug, "Modeling, Measuring and Managing Risk" (2007), World Scientic Publishing Co
  8. Zengjing Chen, "Ambiguity, risk and asset returns in continuous time", Econometrica, 70, pp.1403~1443 (2002)

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