Munich Personal RePEc Archive

Optimal Cash Management Under Uncertainty

Bensoussan, Alain and Chutani, Anshuman and Sethi, Suresh (2009): Optimal Cash Management Under Uncertainty. Published in: Operations Research Letters , Vol. 37, No. 6 (November 2009): pp. 425-429.

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We solve an agent's optimization problem of meeting demands for cash over time with cash deposited in bank or invested in stock. The stock pays dividends and uncertain capital gains, and a commission is incurred in buying and selling of stock. We use a stochastic maximum principle to obtain explicitly the optimal transaction policy.

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