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Constrained Consumption and Investment

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Methods of Mathematical Finance

Part of the book series: Applications of Mathematics ((volume 39))

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Abstract

As we saw in Chapter 5, when a financial market is incomplete due to portfolio constraints, it may no longer be possible to construct a perfect hedge for contingent claims. This led to the introduction in that chapter of superreplicating portfolios and upper-hedging prices for contingent claims. This is a conservative approach to pricing, since it begins from the assumption that agents trade only if their probability of loss is zero.

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© 1998 Springer-Verlag New York, Inc.

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Karatzas, I., Shreve, S.E. (1998). Constrained Consumption and Investment. In: Methods of Mathematical Finance. Applications of Mathematics, vol 39. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22705-4_6

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  • DOI: https://doi.org/10.1007/978-0-387-22705-4_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2852-8

  • Online ISBN: 978-0-387-22705-4

  • eBook Packages: Springer Book Archive

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