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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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We derive a new equation for the optimal investment boundary of a general irreversible investment problem under exponential Lévy uncertainty. The problem is set as an infinite time-horizon, two-dimensional degenerate singular stochastic control problem. In line with the results recently...
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