Dynamic Spanning: Are Options An Appropriate Instrument?
AbstractRoss (1976) has shown, in a static framework, how options can complete financial markets. This paper examines the possible extensions of Ross's idea in a dynamic setup. Surprisingly enough, we find that the answer is very sensitive to the choice of the stochastic model for the underlying security returns. More specifically we obtain the following results: In a discrete-time model, classical European options typically become redundant with some probability (Proposition 2.1). Obnly path dependent ("exotic") options may generate dynamic spanning (Proposition 4.1). In a continuous-time model with stochastic volatility of the underlying security, and under reasonable assumptions, a European option is "always" a good instrument for completing markets (Proposition 5.2). Copyright 1996 Blackwell Publishers.
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Bibliographic InfoArticle provided by Wiley Blackwell in its journal Mathematical Finance.
Volume (Year): 6 (1996)
Issue (Month): 1 ()
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- Bajeux, I. & Rochet, J.C., 1994. "Dynamic Spanning: Are Options an Appropriate Instrument?," Papers 94.329, Toulouse - GREMAQ.
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- Fabio Fornari & Antonio Mele, 2001.
"Recovering the Probability Density Function of Asset Prices Using GARCH as Diffusion Approximations,"
Temi di discussione (Economic working papers)
396, Bank of Italy, Economic Research and International Relations Area.
- Fornari, Fabio & Mele, Antonio, 2001. "Recovering the probability density function of asset prices using garch as diffusion approximations," Journal of Empirical Finance, Elsevier, vol. 8(1), pages 83-110, March.
- F. Fornari & A. Mele, 2000. "Recovering the Probability Density Function of Asset Prices using Garch as Diffusion Approximations," THEMA Working Papers 2000-12, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Eric Ghysels & Andrew Harvey & Éric Renault, 1995.
CIRANO Working Papers
- Ghysels, E. & Harvey, A. & Renault, E., 1996. "Stochastic Volatility," Cahiers de recherche 9613, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Ghysels, E. & Harvey, A. & Renault, E., 1995. "Stochastic Volatility," Papers 95.400, Toulouse - GREMAQ.
- Ghysels, E. & Harvey, A. & Renault, E., 1996. "Stochastic Volatility," Cahiers de recherche 9613, Universite de Montreal, Departement de sciences economiques.
- GHYSELS, Eric & HARVEY, Andrew & RENAULT, Eric, 1995. "Stochastic Volatility," CORE Discussion Papers 1995069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Antonio Mele, 2002.
"Fundamental Properties of Bond Prices in Models of the Short-Term Rate,"
460, Queen Mary, University of London, School of Economics and Finance.
- Antonio Mele, 2003. "Fundamental Properties of Bond Prices in Models of the Short-Term Rate," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 679-716, July.
- A. Mele, 2000. "Fundamental Properties of Bond Prices in Models of the Short-Term Rate," THEMA Working Papers 2000-39, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Antonio Mele, 2004.
"General Properties of Rational Stock-Market Fluctuations,"
FMG Discussion Papers
dp489, Financial Markets Group.
- Mele, Antonio, 2004. "General Properties of Rational Stock-Market Fluctuations," Economics Series 153, Institute for Advanced Studies.
- Antonio Mele, 2004. "General Properties of Rational Stock-Market Fluctuations," Econometric Society 2004 North American Summer Meetings 223, Econometric Society.
- Alziary, Benedicte & Decamps, Jean-Paul & Koehl, Pierre-Francois, 1997.
"A P.D.E. approach to Asian options: analytical and numerical evidence,"
Journal of Banking & Finance,
Elsevier, vol. 21(5), pages 613-640, May.
- Alziary, B. & Decamps, J-P. & Koehl, P-F., 1996. "A P.D.E. Approach to Asian Options: Analytical and Numerical Evidence," Papers 96.430, Toulouse - GREMAQ.
- E. Jouini & P. -F. Koehl & N. Touzi, 1997. "Incomplete markets, transaction costs and liquidity effects," The European Journal of Finance, Taylor & Francis Journals, vol. 3(4), pages 325-347.
- C. Mancini, 2002. "The European options hedge perfectly in a Poisson-Gaussian stock market model," Applied Mathematical Finance, Taylor & Francis Journals, vol. 9(2), pages 87-102.
- Alexandre Baptista, 2000. "Options and Efficiency in Multiperiod Security Markets," Econometric Society World Congress 2000 Contributed Papers 0299, Econometric Society.
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