Good deal bounds induced by shortfall risk

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We consider, throughout this paper, an incomplete financial market which is governed by a possibly nonlocally bounded right-continuous with left-limits (RCLL) special semimartingale. We shall provide good deal bounds for contingent claims induced by shortfall risk in the framework of the Orlicz heart setting. We prove that the upper and lower bounds of such a good deal bound are expressed by a convex risk measure on an Orlicz heart. In addition, we obtain representation results for three types of model, which are an unconstrained portfolio model, a W-admissible model, and a predictably convex model.

Original languageEnglish
Pages (from-to)1-21
Number of pages21
JournalSIAM Journal on Financial Mathematics
Volume2
Issue number1
DOIs
Publication statusPublished - 2011

Fingerprint

Convex Risk Measures
Incomplete Markets
Contingent Claims
Semimartingale
Financial Markets
Model
Upper and Lower Bounds
Good deal bounds
Shortfall risk
Heart
Convex risk measures
Portfolio model
Lower bounds
Incomplete financial markets
Upper bound
Contingent claims
Framework
Financial markets

Keywords

  • Convex risk measure
  • Good deal bound
  • Orlicz space
  • Predictably convex
  • Shortfall

ASJC Scopus subject areas

  • Applied Mathematics
  • Numerical Analysis
  • Finance

Cite this

Good deal bounds induced by shortfall risk. / Arai, Takuji.

In: SIAM Journal on Financial Mathematics, Vol. 2, No. 1, 2011, p. 1-21.

Research output: Contribution to journalArticle

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