In: Economics
(a) Required reserve ratio = 20%
Money multiplier = (1 / required reserve ratio) = (1 / 0.2) = 5
In order to increase the lending capacity Fed should buys the government securities in the open market.
Fed wants to increase the lending capacity increase by $180 billion.
Amount of government securities buys = (Increase in lending capaicty / money multiplier)
Amount of government securities buys = ($180 billion / 5)
Amount of government securities buys = $36 billion
The fed will need to buy government securities in the total amount of $36 billion.
(b) The Fed may also opt to use some amount of reserve repos to effectively lend money to commercial banks rather than permanently transfer owernship of the securities in order to obtain its goals.