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

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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