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We study the pricing and hedging of derivative securities with uncertainty about the volatility of the underlying asset. Rather than taking all models from a prespecified class equally seriously, we penalise less plausible ones based on their "distance" to a reference local volatility model. In...
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This paper is the first to study the hedging of price risk with uncertain payment dates, a frequent problem in practice … advantages with increasing hedge horizons and strongly dependent time and price risk, while linear instruments can suffice for …
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, - statistical arbitrage models, - arbitrage-free pricing, risk-neutral implied densities, - equilibrium pricing approaches … intense techniques for pricing, estimation and backtesting, - complex derivative products, - credit and counterparty risk …
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This paper examines a simple basis risk model based on correlated geometric Brownian motions. We apply quadratic … criteria to minimize basis risk and hedge in an optimal manner. Initially, we derive the Föllmer–Schweizer decomposition for a … European claim. This allows pricing and hedging under the minimal martingale measure, corresponding to the local risk …
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