Monopolistic Security Design in Finance Economies
AbstractThe purpose of this paper is to analyze endogenous asset innovation by an entrepreneurial exchange owner in a partial equilibrium model of incomplete security markets with financial transaction fees. A monopolistic market maker has the technology to introduce new securities into the economy and charge investors transaction fees if they trade on the exchange. The market maker's objective is to choose the security and transaction fee that maximize profits when opening the exchange. We compute the effects of asset innovation for the case of an option exchange introducing an option on a stock index. In the first set of economies agents with heterogeneous levels of risk aversion trade securities to achieve some risk sharing. In the second set of economies agents have identical risk aversion but heterogeneous beliefs which lead to trading due to the desire for portfolio re-balancing. In both types of models the introduction of the profit-maximizing options leads to a decrease of the prices of established securities. Typically small heterogeneity of beliefs lead to substantial more trading volume in the option than reasonable differences among levels of risk aversion. Our computational approach allows us to examine some previous results in the theoretical literature for heterogeneous-beliefs models about the effects of an option introduction. We show that these results about options leading to a price increase of the underlying stock depend on some very strong assumptions on the parameters and are quantitatively negligible. Typically an opposite result, namely a price decrease of the underlying stock, of much larger quantitative magnitude holds.
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Bibliographic InfoPaper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1288.
Date of creation: Mar 2000
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Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
Web page: http://www.kellogg.northwestern.edu/research/math/
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Other versions of this item:
- 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
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
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- Bisin, Alberto, 1998. "General Equilibrium with Endogenously Incomplete Financial Markets," Journal of Economic Theory, Elsevier, vol. 82(1), pages 19-45, September.
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- Chiaki Hara, 2010. "Pareto Improvement and Agenda Control of Sequential Financial Innovations," KIER Working Papers 748, Kyoto University, Institute of Economic Research.
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- Sy-Ming Guu & Kenneth L. Judd, 2001. "Asymptotic methods for asset market equilibrium analysis," Economic Theory, Springer, vol. 18(1), pages 127-157.
- Hara, Chiaki, 2011. "Pareto improvement and agenda control of sequential financial innovations," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 336-345.
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