Modeling Liquidity Effects In Discrete Time
We study optimal portfolio choices for an agent with the aim of maximising utility from terminal wealth within a market with liquidity costs. Under some mild conditions, we show the existence of optimal portfolios and that the marginal utility of the optimal terminal wealth serves as a change of measure to turn the marginal price process of the optimal strategy into a martingale. Finally, we illustrate our results numerically in a Cox-Ross-Rubinstein binomial model with liquidity costs and find the reservation ask prices for simple European put options.
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Volume (Year): 17 (2007)
Issue (Month): 1 ()
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References listed on IDEAS
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- Domenico Cuoco & Jaksa Cvitanic, "undated". "Optimal Consumption Choices for a "Large" Investor," Rodney L. White Center for Financial Research Working Papers 4-96, Wharton School Rodney L. White Center for Financial Research.
- Umut Çetin & Robert Jarrow & Philip Protter, 2004.
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- Rüdiger Frey & Alexander Stremme, 1997. "Market Volatility and Feedback Effects from Dynamic Hedging," Mathematical Finance, Wiley Blackwell, vol. 7(4), pages 351-374.
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