Three Essays on Pricing and Hedging in Incomplete Markets PDF Download
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Author: Dan Chen
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Languages : en
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The thesis focuses on valuation and hedging problems when the market is incomplete. The first essay considers the quadratic hedging strategy. We propose a generalized quadratic hedging strategy which can balance a short-term risk (additional cost) with a long-term risk (hedging errors). The traditional quadratic hedging strategies, i.e. self-financing strategy and risk-minimization strategy, can be seen as special cases of the generalized quadratic hedging strategy. This is applied to the insurance derivatives market. The second essay compares parametric and nonparametric measure-changing techniques. The essay discusses three pricing approaches: pricing via Esscher measure, via calibration and via nonparametric risk-neutral density; and empirically compares the performance of the three approaches in the metal futures markets. The last essay establishes the concept of stochastic volatility of volatility and proposes several estimation methods.
Author: Dan Chen
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Category :
Languages : en
Pages :
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Book Description
The thesis focuses on valuation and hedging problems when the market is incomplete. The first essay considers the quadratic hedging strategy. We propose a generalized quadratic hedging strategy which can balance a short-term risk (additional cost) with a long-term risk (hedging errors). The traditional quadratic hedging strategies, i.e. self-financing strategy and risk-minimization strategy, can be seen as special cases of the generalized quadratic hedging strategy. This is applied to the insurance derivatives market. The second essay compares parametric and nonparametric measure-changing techniques. The essay discusses three pricing approaches: pricing via Esscher measure, via calibration and via nonparametric risk-neutral density; and empirically compares the performance of the three approaches in the metal futures markets. The last essay establishes the concept of stochastic volatility of volatility and proposes several estimation methods.
Author: Dan Chen
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Category :
Languages : en
Pages :
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Author: Junze Lin
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Category :
Languages : en
Pages : 198
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Author: Hirbod Assa
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Category :
Languages : en
Pages : 111
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This thesis consists of three essays in financial econometrics. In the first part of the thesis, motivated by different applications of hedging methods in the literature, we propose a general theoretical framework for hedging and pricing. First, we review briefly different strands of literature on hedging which have been developed in various fields such as finance, economics, operations research and mathematics, and then try to come up with a tractable way for hedging and pricing in this paper. By introducing different market principles, we study conditions under which the hedging problem has a solution and pricing is possible. We will conduct an in-depth theoretical analysis of hedging strategies with shortfall risks as well as the spectral risk measures, in particular those associated with Choquet expected utility. We show that asymmetric information results in incorrect risk assessment and pricing. In the second part of the thesis, we will apply our results in the first part to construct an economic risk hedge. We also introduce a general method to estimate the stochastic discount factors associated with different risk measures and different financial models. The third part of the thesis modifies the speculative storage model by embedding staggered price features into the structural model of Deaton and Laroque (1996). In an attempt to replicate the stylized facts of observed commodity price dynamics, we add an additional source of intertemporal linkage to Deaton and Laroque (1996), namely speculation in intermediate-good inventories. The introduction of this type of friction into the model is motivated by its ability to increase price stickiness which gives rise to an increased persistence in the first and higher conditional moments of commodity prices. By incorporating intermediate risk neutral speculators and a final bundler with a staggered pricing rule in the spirit of Calvo (1983) into the storage model, we are able to capture a high degree of serial correlation and conditional heteroskedasticity, which are observed in actual data. The structural parameters of both Deaton and Laroque (1996) and our modified models are estimated using actual prices for 8 agricultural commodities. Simulated data are then employed to assess the effects of our staggered price approach on the time-series properties of commodity prices. Our results lend empirical support to the possibility of staggered prices.
Author: Nilson Teixeira
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Category :
Languages : en
Pages : 218
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Author: Lionel Martellini
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Category :
Languages : en
Pages : 390
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Author: Sneha Bakshi
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Category : Consumer behavior
Languages : en
Pages : 204
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These essays examine how imperfect information amongst buyers in homogeneous goods markets affect sellers' incentives to compete, collude, and choose pricing rules. The first essay focuses on the price matching policy in a duopoly market when sellers have different marginal costs of production and some buyers know only one price in the market. It illustrates the incredibility of a seller price matching below its cost, which helps restore the low cost seller's incentive to price competitively, if the cost gap between the two sellers is large. Characterizing the equilibria of the model without price matching, I find that when the proportion of fully informed buyers is low, posting monopoly prices is the unique equilibrium. Market power of this kind is eliminated by price matching, because a seller adopting it promises to buyers unaware of its price to sell at their known price. Price matching thus reduces prices in equilibria if either the cost gap is large or if there are a large proportion of imperfectly informed buyers. The second essay investigates the endogenous choices of pricing rules by sellers with different costs in large markets, where buyers vary in their information regarding market prices. Inviting buyers to quote bids is ruled out because of adverse selection, and I find that price matching cannot be used by sellers with costs in the upper tail of the distribution of seller costs. The range of prices in equilibrium and the extent of the adoption of price matching to separate buyer types are found to depend on the price of the lowest cost seller in the market. The third essay examines how a distribution of imperfectly informed buyers affects (posted) price competition between identical sellers. I find that finite markets have multiple prices, as the only equilibrium is in mixed strategies with positive profits. The support of equilibrium prices is bounded below by a function of the size of the market, such that a larger market reduces profits. Only in the limit as the market becomes infinitely large, can a single price prevail, equaling marginal cost, where sellers earn zero profits.
Author: Wenqing Wang
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Category : Investments
Languages : en
Pages : 342
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Author: David Lando
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Category : Credit
Languages : en
Pages : 292
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Author: Thierry Chauveau
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Category : Pricing
Languages : en
Pages : 31
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