Within this paper, we accomplish two objectives: First, we offer a brand new mathematical portrayal from the value function for impulse control issues with implementation delay and offer an immediate solution way in which is different from its counterparts which use quasi-variational inequalities. Our technique is direct, meaning that people don’t have to guess the type of the answer so we don’t have to prove the conjectured solution satisfies conditions of the verification lemma. Second, by using this direct solution method, we solve two examples which involve decision delays: an exchange rate intervention problem along with a problem at work pressure optimization.
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