Minimum-cost portfolio insurance
AbstractMinimum-cost portfolio insurance is an investment strategy that enables an investor to avoid losses while still capturing gains of a payoff of a portfolio at minimum cost. If derivative markets are complete, then holding a put option in conjunction with the reference portfolio provides minimum-cost insurance at arbitrary arbitrage-free security prices. We derive a characterization of incomplete derivative markets in which the minimum-cost portfolio insurance is independent of arbitrage-free security prices. Our characterization relies on the theory of lattice-subspaces. We establish that a necessary and sufficient condition for price-independent minimum-cost portfolio insurance is that the asset span is a lattice-subspace of the space of contingent claims. If the asset span is a lattice-subspace, then the minimum-cost portfolio insurance can be easily calculated as a portfolio that replicates the targeted payoff in a subset of states which is the same for every reference portfolio.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Dynamics and Control.
Volume (Year): 24 (2000)
Issue (Month): 11-12 (October)
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Web page: http://www.elsevier.com/locate/jedc
Other versions of this item:
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Leland, Hayne E, 1980.
" Who Should Buy Portfolio Insurance?,"
Journal of Finance,
American Finance Association, vol. 35(2), pages 581-94, May.
- Philippe Henrotte, 1996. "Construction of a state space for interrelated securities with an application to temporary equilibrium theory (*)," Economic Theory, Springer, vol. 8(3), pages 423-459.
- Donald J. Brown & Stephen A. Ross, 1988.
"Spanning, Valuation and Options,"
Cowles Foundation Discussion Papers
873, Cowles Foundation for Research in Economics, Yale University.
- Broadie, Mark & Cvitanic, Jaksa & Soner, H Mete, 1998. "Optimal Replication of Contingent Claims under Portfolio Constraints," Review of Financial Studies, Society for Financial Studies, vol. 11(1), pages 59-79.
- Edirisinghe, Chanaka & Naik, Vasanttilak & Uppal, Raman, 1993. "Optimal Replication of Options with Transactions Costs and Trading Restrictions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(01), pages 117-138, March.
- Ross, Stephen A, 1976. "Options and Efficiency," The Quarterly Journal of Economics, MIT Press, vol. 90(1), pages 75-89, February.
- Henrotte, Philippe, 1996. "Construction of a State Space for Interrelated Securities with an Application to Temporary Equilibrium Theory," Economic Theory, Springer, vol. 8(3), pages 423-59, October.
- Naik, Vasanttilak & Uppal, Raman, 1994. "Leverage Constraints and the Optimal Hedging of Stock and Bond Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(02), pages 199-222, June.
- Green, Richard C. & Jarrow, Robert A., 1987. "Spanning and completeness in markets with contingent claims," Journal of Economic Theory, Elsevier, vol. 41(1), pages 202-210, February.
- Topaloglou, Nikolas & Vladimirou, Hercules & Zenios, Stavros A., 2011. "Optimizing international portfolios with options and forwards," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3188-3201.
- Huang, Kevin X. D., 2002.
"On infinite-horizon minimum-cost hedging under cone constraints,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 27(2), pages 283-301, December.
- Kevin Huang, . "On infinite-horizon minimum-cost hedging under cone constraints," Working Papers 2000-22, Utah State University, Department of Economics.
- Charalambos Aliprantis & Monique Florenzano & Rabee Tourky, 2006. "Production equilibria," Post-Print halshs-00092809, HAL.
- Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2006.
Journal of Mathematical Economics,
Elsevier, vol. 42(4-5), pages 406-421, August.
- Charalambos Aliprantis & Monique Florenzano & Rabee Tourky, 2006. "Production equilibria," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00092809, HAL.
- Aliprantis, Charalambos D. & Harris, David & Tourky, Rabee, 2007.
Journal of Econometrics,
Elsevier, vol. 136(2), pages 431-456, February.
- Aliprantis, Charalambos D. & Polyrakis, Yiannis A. & Tourky, Rabee, 2002. "The cheapest hedge," Journal of Mathematical Economics, Elsevier, vol. 37(4), pages 269-295, July.
- Aliprantis, Charalambos D. & Monteiro, Paulo K. & Tourky, Rabee, 2004. "Non-marketed options, non-existence of equilibria, and non-linear prices," Journal of Economic Theory, Elsevier, vol. 114(2), pages 345-357, February.
- Charalambos D. Aliprantis & Monique Florenzano & Rabee Tourky, 2004. "Equilibria in production economies," Cahiers de la Maison des Sciences Economiques b04116, Université Panthéon-Sorbonne (Paris 1).
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