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We extend a linear version of the liquidity risk model of Cetin et al. (2004) to allow for price impacts. We show that … the impact of a market order on prices depends on the size of the transaction and the level of liquidity. We obtain a … stochastic volatility model in which the volatility is partly correlated with the liquidity process and show that, with the use …
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We consider a stochastic optimization problem of maximizing the expected utility from terminal wealth in an illiquid market. A discrete time model is constructed with few additional state variables. The dynamic programming approach is then developed and used for numerical studies. No-arbitrage...
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