State Tameness: A New Approach for Credit Constrains
AbstractWe propose a new definition for tameness within the model of security prices as It\^o processes that is risk-aware. We give a new definition for arbitrage and characterize it. We then prove a theorem that can be seen as an extension of the second fundamental theorem of asset pricing, and a theorem for valuation of contingent claims of the American type. The valuation of European contingent claims and American contingent claims that we obtain does not require the full range of the volatility matrix. The technique used to prove the theorem on valuation of American contingent claims does not depend on the Doob-Meyer decomposition of super-martingales; its proof is constructive and suggest and alternative way to find approximations of stopping times that are close to optimal.
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Bibliographic InfoPaper provided by EconWPA in its series Finance with number 0305001.
Length: 13 pages
Date of creation: 06 May 2003
Date of revision: 16 Feb 2004
Note: Type of Document - Acrobat PDF; pages: 13 pages, Publihed in Electronic Communications in Probability, 9, (2004), 1-13.
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arbitrage; pricing of contingent claims; continuous-time financial markets; tameness;
Find related papers by JEL classification:
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
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- Jaime A. Londo\~no, 2006. "State Dependent Utility," Papers math/0603316, arXiv.org.
- Jaime A. Londo\~no, 2005. "Dynamic State Tameness," Papers math/0509139, arXiv.org.
- Jaime Londoño, 2005. "Dynamic State Tameness," Finance 0509010, EconWPA, revised 20 Sep 2005.
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