00:01
First to calculate the money multiplier for the reserve requirement of 25 % so to calculate the money multiplier we use the formula money multiplier is equal to 1 by reserve requirement for a reserve requirement of 25 % the money multiplier is 1 by 0 .25 is equal to 4.
00:32
Next to calculate the money supply for a reserve requirement of 25 % to calculate the money supply we use the formula money supply is equal to money multiplier into total reserves given that the total reserves are 200 dollars and the money multiplier is 4.
00:51
So the money supply is equal to 4 into 200 dollars is equal to 800 dollars.
01:05
Then to calculate the money supply for a reserve requirement of 10 % after the purchases of 2000 dollars worth of us government bonds to calculate the new money supply we need to consider the change in reserves due to the bond purchase.
01:24
So the bond purchase increases reserves by 2000 dollars the new total reserves are 200 dollars plus 2000 dollars is equal to 2200 dollars so using the money multiplier of 10 that is 1 by 0 .10 the new money supply is 10 into 2200 dollars is equal to 22000 dollars.
02:05
So then to calculate the money supply for a reserve requirement of 25 % after banks increase the percentage of deposits held at reserves to calculate the new money supply we need to consider the change in reserves due to the increase in the reserve ratio.
02:24
So the reserve ratio increases from 10 % to 25 % meaning banks hold more reserves and lend out less.
02:37
So the new total reserves are 200 dollars plus 800 dollars is equal to 1000 dollars.
02:44
So using the money multiplier of 4 1 by 0 .25 the new money supply is 1000 dollars is equal to 4000 dollars.
03:08
So step 5 is to determine the amount of us government bonds the fed needs to purchase to increase the money supply by 200 dollars under the new conditions.
03:21
To calculate the required bond purchase we need to find the difference between the desired money supply increase and the change in money supply due to the increase in reserve ratio...