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An economic scenario has been considered where the government seeks to achieve a favourable balance-of-payments over a fixed planning horizon through exchange rate policy and control of the domestic interest rate. The dynamics of such an economy was considered in terms of a bounded optimal control problem where the exchange rate is the state variable and the domestic interest rate is the control variable...
The paper presents a method for determining the optimal timing for completing an equity investment. We assume a fixed interest rate, and the possibility of annual deposits and withdrawals from the account equity investment. We assume the size of the initial and final capital, the latter of which is larger (we are interested in return on investment). An additional assumption about the size of the balance...
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