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Suppose that from a new checkable deposit, First National Bank holds two million dollars in vault cash, one million dollars in required reserves, and faces a required reserve ratio often percent. Given this information, we can say First National Bank has million dollars in excess reserves. A) one B) two C) nine D) ten

Question

Suppose that from a new checkable deposit, First National Bank holds two million dollars in vault cash, one million dollars in required reserves, and faces a required reserve ratio often percent. Given this information, we can say First National Bank has million dollars in excess reserves. A) one B) two C) nine D) ten

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Solution

The correct answer is C) nine. Here's how we get to that:

First, we need to understand what excess reserves are. Excess reserves are any cash over and above the required reserves that a bank chooses to hold.

In this case, First National Bank has a total of 2millioninvaultcash.Thebankisrequiredtohold2 million in vault cash. The bank is required to hold 1 million in required reserves. This means that the bank has 1million(1 million (2 million - $1 million) left over after meeting its required reserves.

However, the bank faces a required reserve ratio of 10 percent. This means that for every dollar the bank has in deposits, it needs to hold 10 cents in reserves.

So, if the bank has 1millioninrequiredreservesandtherequiredreserveratiois10percent,thismeansthebankhas1 million in required reserves and the required reserve ratio is 10 percent, this means the bank has 10 million in deposits ($1 million / 10%).

Given that the bank has 10millionindepositsand10 million in deposits and 2 million in vault cash, the bank has 8million(8 million (10 million - $2 million) in excess reserves.

But, the bank also has 1millioninrequiredreserves.So,thebankstotalexcessreservesare1 million in required reserves. So, the bank's total excess reserves are 9 million (8million+8 million + 1 million).

This problem has been solved

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