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This book mainly addresses the general equilibrium asset pricing method in two aspects: option pricing and variance risk premium. First, volatility smile and smirk is the famous puzzle in option pricing. Different from no arbitrage method, this book applies the general equilibrium approach in explaining the puzzle. In the presence of jump, investors impose more weights on the jump risk than the volatility risk, and as a result, investors require more jump risk premium which generates a pronounced volatility smirk. Second, based on the general equilibrium framework, this book proposes variance risk premium and empirically tests its predictive power for international stock market returns.
Motivation. That elegant fiction the competitive equilibrium seems still to dominate the frontiers of theoretical microeconomics. We may think of it in a general way as a state of affairs wherein economic agents, responding "rationally" to annoWlced prices, make choices which are consistent and feasible. The prices may also be described as "taken": for one reason or another the agents who respond to them consider them as given. The existence of such a state, its optimality, its robustness against free bargaining among agents when there are many of them, its Wliqueness, its stability when price displacements evoke specified adjustments--all these issues have been studied, and continue to be studied in a variety of settings. Slowly the equilibrium investigated begins to incorporate public goods, externalities of certain kinds, differences in agents' information, and infinitely many time periods. The appeal of such results need not be belabored: the equilibrium studied may sustain an optimal resource allocation, and when it does it sus tains it in a manner that appears to be informationally efficient and to accord well with individual incentives. Therefore it is important to extend the circumstances under which an equilibrium exists, under which it sustains opti mality, and under which it survives displacements as well as free bargaining among agents.
This monograph presents a general equilibrium methodology for microeconomic policy analysis. It is intended to serve as an alternative to the now classical, axiomatic general equilibrium theory as exposited in Debreu`s Theory of Value (1959) or Arrow and Hahn`s General Competitive Analysis (1971). The monograph consists of several essays written over the last decade. It also contains an appendix by Charles Steinhorn on the elements of O-minimal structures.
This paper derives a general equilibrium option-pricing model for a European call assuming that the economy is exogenously driven by a dividend process following Hamilton's (1989) Markov regime switching model. The derived formula is used to investigate if the European call option prices are consistently priced with the stock market prices. This is done by obtaining the implied risk aversion preferences, based on traded option prices data.
The central idea underlying this work is to convert the Walrasian general equilibrium structure (formalized in the 1950s by Kenneth Arrow, Gerard Debreu and others) from an abstract representation of an economy into realistic models of actual economies.