GOOD DEAL BOUNDS with CONVEX CONSTRAINTS

Takuji Arai

Research output: Contribution to journal › Article

Abstract

We investigate the structure of good deal bounds, which are subintervals of a no-arbitrage pricing bound, for financial market models with convex constraints as an extension of Arai & Fukasawa (2014). The upper and lower bounds of a good deal bound are naturally described by a convex risk measure. We call such a risk measure a good deal valuation; and study its properties. We also discuss superhedging cost and Fundamental Theorem of Asset Pricing for convex constrained markets.

Original languageEnglish
Article number1750011
JournalInternational Journal of Theoretical and Applied Finance
Volume20
Issue number2
DOIs
Publication statusPublished - 2017 Mar 1

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Good deal bounds
Arbitrage pricing
Convex risk measures
Market model
Risk measures
Costs
No-arbitrage
Lower bounds
Upper bound
Superhedging
Fundamental theorem of asset pricing
Financial markets

Keywords

  • convex constraints
  • Convex risk measure
  • fundamental theorem of asset pricing
  • good deal bound
  • superhedging cost

ASJC Scopus subject areas

  • Finance
  • Economics, Econometrics and Finance(all)

Cite this

GOOD DEAL BOUNDS with CONVEX CONSTRAINTS. / Arai, Takuji.

In: International Journal of Theoretical and Applied Finance, Vol. 20, No. 2, 1750011, 01.03.2017.

Research output: Contribution to journal › Article

Arai, T 2017, 'GOOD DEAL BOUNDS with CONVEX CONSTRAINTS', International Journal of Theoretical and Applied Finance, vol. 20, no. 2, 1750011. https://doi.org/10.1142/S021902491750011X
Arai T. GOOD DEAL BOUNDS with CONVEX CONSTRAINTS. International Journal of Theoretical and Applied Finance. 2017 Mar 1;20(2). 1750011. https://doi.org/10.1142/S021902491750011X
Arai, Takuji. / GOOD DEAL BOUNDS with CONVEX CONSTRAINTS. In: International Journal of Theoretical and Applied Finance. 2017 ; Vol. 20, No. 2.
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