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14 July, 11:52

A bank must maintain an average daily balance at the Fed of $600. In the first 2 days of the maintenance period, they maintain a balance of $450, the next three days they maintain a balance of $700, the next two days they maintain a balance of $650, the next three days they maintain a balance of $450 and the next three days they maintain a balance of $650. What does their balance at the Fed have to be on the last day of the maintenance period in order to have a zero cumulative reserve deficit

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  1. 14 July, 12:02
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    Balance with Fed on last day to be $ 800

    Explanation:

    Computation of balance on last day of maintenance period

    Balance maintained $ 450 for 2 days $ 900

    $ 700 for 3 days $ 2,100

    $ 650 for 2 days $ 1,300

    $ 450 for 3 days $ 1,350

    $ 650 for 3 days $ 1.950

    Average of balances maintained

    13 days $ 7,600

    Average balance maintenance required for 13 + last day)

    $ 600 * (13 + 1) 14 days $ 8,400

    so the balance with the Fed on the last day has to be

    $ 8,400 - $ 7,600 $ 800
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