Generalized integrands and bond portfolios: Pitfalls and counter examples
Erik Taflin
Papers from arXiv.org
Abstract:
We construct Zero-Coupon Bond markets driven by a cylindrical Brownian motion in which the notion of generalized portfolio has important flaws: There exist bounded smooth random variables with generalized hedging portfolios for which the price of their risky part is $+\infty$ at each time. For these generalized portfolios, sequences of the prices of the risky part of approximating portfolios can be made to converges to any given extended real number in $[-\infty,\infty].$
Date: 2009-09, Revised 2011-01
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Published in Annals of Applied Probability 2011, Vol. 21, No. 1, 266-282
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:0909.2341
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