Consider the following simplified balance sheet of a commercial bank: assets liabilities vault cash $200 $3500 deposits deposits at the federal reserve $300 loans $3000 the required reserve ratio is 10 percent. find actual reserves $ , required reserves $ , and excess reserves $ . by how much can this bank increase its loans? $ what is the money (deposit) multiplier equal to? by how much can the entire banking system expand their loans? $ how much new wealth is directly created from this expansion of deposits? $

Check the following calculations

Explanation:

(a)

Actual Reserves = Vault cash + Deposits at the Federal Reserve

Actual Reserves = $200 + $300

Actual Reserves = $500

The actual reserves are $500.

Calculate Required Reserves -

Required Reserves = Deposits * Required reserve ratio

Required Reserves = $3500 * 0.10 = $350

The required reserves are $350.

Calculate Excess Reserves -

Excess reserves = Actual reserves - Required Reserves

Excess reserves = $500 - $350 = $150

The Excess reserves are $150.

(b)

A bank can increase the amount of its loan by the amount of excess reserves it held.

This bank has excess reserves of $150.

So, this bank can increase its loans by $150.

(c)

Calculate Money multiplier -

Money multiplier = 1/Required reserve ratio = 1/0.10 = 10

The money multiplier is equal to 10.

(d)

Calculate total expansion of loan by entire banking system -

Total expansion = Increase in loan by individual bank * Money multiplier

Total expansion = $150 * 10 = $1,500

The entire banking system can expand their loans by $1,500.

(e)

The new wealth directly created from this expansion of deposits is equal to the quantum of expansion in deposits.

The deposits has expanded by $1,500.

So, new wealth directly created from this expansion of deposits is $1,500.

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