Answer: a. 2. in a fractional-reserve banking system, each dollar of reserves can support more than one dollar of deposits, thereby increasing the money supply by more than $1.
3. reserves = deposits.
b. $900.
Multiplier is 10
c. 4. 1/(desired reserve-deposit ratio).
d. 2. increase reserve requirements.
Explanation:
a. In fractional-reserve banking system, $1 of deposits can be used to create more than $1 in money supply as the money is continuously deposited into other bank accounts. This enables the money to keep increasing until it theoretically reaches a certain amount determined by the money Multiplier.
If the money Multiplier is equal to 1 which is a very rare occasion, this means that the amount required in reserves is equal to the deposits. $1 of deposits will yield a $1 in money supply increase.
b. The desired reserve-deposit ratio is 0.1. For every $1, 0.1 goes to reserves.
If bank reserves have increased by $10 then that means that deposits are,
0.1x = 10
x = $100
Deposits not in reserve are,
= 0.9 * 100
= $90
The money Multiplier can be calculated with the formula,
= 1/(desired reserve-deposit ratio)
= 1/0.1
= 10
Increase in money supply is therefore,
= $90 * 10
= $900
c. As earlier mentioned, option D is the general rule for calculating the money Multiplier.
= 1/(desired reserve-deposit ratio)
d. If the Fed increases the reserve requirement, the effect would be a reduction in the money supply because the denominator is now higher.
For instance, reserve requirement of 0.1 vs 0.2.
At 0.1, the money supply would be,
= 1/0.1
= 10
At 0.2, the money supply would be,
= 1/0.2
= 5
The higher the reserve requirement, the lower the Multiplier.
