1. The ABC bank has a deposit base on which it holds excess reserves of $42 Million at a reserve rate which relates to a money multiplier (MM) of 5. On January 2, 2010 Mwen-Mwen, a customer of ABC bank issued a $20 Million check drawn on its account, to Bushrod Manufacturing Company (BMC), which it deposited into its account with Satiah Bank.
Solution:
a.). The reserve ratio:
Money Multiplier = "\\frac{1}{Reserve\\; Ratio}"
5 = "\\frac{1}{R\\; R}"
Reserve ratio = "\\frac{1}{5} = 20\\%"
Reserve ratio = 20%
b.). The initial deposit base prior to the $20 Million transactions:
Change in money supply = Initial Excess Reserves "\\times" Money Multiplier = 42M x 5 = 210M
The initial deposit base prior to the $20 Million transactions = 210M
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