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European Finance Review 1999 3(3):347-388; doi:10.1023/A:1009856830088
© 1999 by European Finance Association
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The Valuation of Contingent Claims under Portfolio Constraints: Reservation Buying and Selling Prices*

Claus Munk

Department of Accounting, Finance, and Law, University of Southern Denmark – Odense University Campusvej 55, DK-5230 Odense M, Denmark E-mail: cmu{at}sam.sdu.dk

With constrained portfolios contingent claims do not generally have a unique price that rules out arbitrage opportunities. Earlier studies have demonstrated that when there are constraints onthe hedge portfolio, a no-arbitrage price interval for any contingent claim exists. I consider the more realistic case where the constraints are imposed on the total portfolio of each investor and define reservation buying and selling prices for contingent claims. I derive properties of these prices, show how they can be computed numerically, and study two simple examples in which the reservation prices and the corresponding hedging strategies are compared to the Black–Scholes setting. JEL classification C63, D52, G11, G13.

Key Words: contingent claims • dynamic programming • incomplete markets • numerical solutions • reservation prices


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