This is the first paper in a series devoted to a tentative model for the influence of hedging on the dynamics of an asset. We study here the case of a “large” investor and solve two problems in the context of such a model: the question of the fair value (or liquidation value) of a “large” position and the question of pricing or hedging an option. In order to do so, we use a utility maximization approach and some new results in stochastic control theory.
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Lions, PL., Lasry, JM. (2007). Large Investor Trading Impacts on Volatility. In: Paris-Princeton Lectures on Mathematical Finance 2004. Lecture Notes in Mathematics, vol 1919. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73327-0_4
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