Optimal Impulse Control for Cash Management with Two Sources of Short-term Funds

نویسندگان

  • Kimitoshi Sato
  • Katsushige Sawaki
چکیده

Many firms face a problem of managing cash balances to maximize the availability of cash for investment and to avoid the risk of insolvency. In this paper, we consider a cash management model in which the two types of funds are available when a manager adjusts cash level. We suppose that the rate of utilizing the two funds for the amount of adjustment is constant. Our objective is to minimize the expected discounted costs over an infinite horizon. We formulate this cash balance management problem as an impulse control problem and then derive an optimal cash management policy. We show the existence of an optimal policy and demonstrate it numerically.

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تاریخ انتشار 2009