Option Pricing in Non-Competitive Markets
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In the classic option pricing theory, the market is assumed to be competitive. The relaxation of the competitive market assumption introduces two features: liquidity cost and feedback effects. In our study, investors in non-competitive markets are divided into two categories: small investors and large investors. Small investors encounter liquidity cost while large investors face both liquidity cost and feedback effects. Chapter 2 and chapter 3 are dedicated to investigating the option pricing for small investors. In chapter 2, how to perfectly hedge options (including vanilla options and exotic options) under the supply curve model in a geometric Brownian motion model is studied. In Chapter 3, local risk minimization method is used to pricing European options with liquidity cost in a jump-diffusion model. In chapter 4, utility indifference pricing method is applied to pricing European options for large investors.