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The Valuation of Contingent Claims under Portfolio Constraints: Reservation Buying and Selling Prices

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  • Claus Munk

Abstract

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.

Suggested Citation

  • Claus Munk, 1999. "The Valuation of Contingent Claims under Portfolio Constraints: Reservation Buying and Selling Prices," Review of Finance, European Finance Association, vol. 3(3), pages 347-388.
    • Handle: RePEc:oup:revfin:v:3:y:1999:i:3:p:347-388.
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    File URL: http://hdl.handle.net/10.1023/A:1009856830088
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    Citations

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    Cited by:

    1. Giuseppe Benedetti & Luciano Campi, 2011. "Multivariate utility maximization with proportional transaction costs and random endowment," Working Papers hal-00586377, HAL.
    2. Kasper Larsen & Halil Mete Soner & Gordan Žitković, 2020. "Conditional Davis pricing," Finance and Stochastics, Springer, vol. 24(3), pages 565-599, July.
    3. Damgaard, Anders, 2003. "Utility based option evaluation with proportional transaction costs," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 667-700, February.
    4. Simon Ellersgaard, 2019. "On the Numerical Solution of Mertonian Control Problems: A Survey of the Markov Chain Approximation Method for the Working Economist," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 1179-1211, October.
    5. Munk, Claus & Sørensen, Carsten, 2010. "Dynamic asset allocation with stochastic income and interest rates," Journal of Financial Economics, Elsevier, vol. 96(3), pages 433-462, June.

    More about this item

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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