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11 January, 19:14

Consider the following situations: a. Bank reserves are $250, the public holds $200 in currency, and the desired reserve-deposit ratio is 0.25. Find deposits and the money supply. Instructions: Enter your responses as whole numbers. Deposits: $. Money supply: $. b. The money supply is $600 and currency held by the public equals bank reserves. The desired reserve-deposit ratio is 0.25. Find currency held by the public and bank reserves. Instructions: Enter your responses as whole numbers. Currency held by the public: $. Bank reserves: $. c. The money supply is $1,400, of which $500 is currency held by the public. Bank reserves are $90. Find the desired reserve-deposit ratio. Instructions: Enter your response rounded to two decimal places. Desired reserve-deposit ratio:.

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  1. 11 January, 20:40
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    Solution:

    a) Deposits = Bank Reserves / (Reserve-deposit ratio)

    = $250 / 0.25 = $1,000

    Money supply = Currency held by the public + Deposits

    = $200 + $1,000 = $1,200

    b) The savings and currency of the country are equivalent in this case. Its worth should be equal to x and deposits should have money supply less currency.

    r = reserves/total deposits

    0.25 = x / ($600 - x)

    x = 150 - 0.25x

    1.25 x = 150

    x = 120

    So, the currency held by public is $120

    Bank reserves are $120

    c) As the money supply is $1,400 and the public holds $500 in currency, bank deposits must equal $900

    If bank reserves are $90,

    the desired reserve/deposit ratio equals $90/$900 = 0.1
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