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REPLICATION OF AMERICAN CONTINGENT CLAIMS IN INCOMPLETE MARKETS

Jiongmin Yong ()
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Jiongmin Yong: Laboratory of Mathematics for Nonlinear Sciences, Department of Mathematics, and Institute of Mathematical Finance, Fudan University, Shanghai 200433, China

International Journal of Theoretical and Applied Finance (IJTAF), 2001, vol. 04, issue 03, 439-466

Abstract: The problem of hedgeability and replicatability of American contingent claims is discussed in an incomplete market. Here the incompleteness of the market is due to the possible degeneracy of the volatility matrix. Using the idea of the four-step scheme and penalization for a class of nonlinear backward stochastic differential equations, we prove, under proper conditions, that the so-calleds-hedgeable American contingent claims are replicatable.

Keywords: BSDE; American contingent claim; hedgeability; replicatability (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0219024901001061

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