Assume the ratio of deposits that banks hold in form of reserves is 7 percent. Assume further that people want to hold 8 percent of their deposits in the form of cash. Then, if the fed wants the money supply to be $6,228 billion, what is the necessary level of high powered money?

Assume an economy in which the reserve ratio is 15 percent, people hold 10% of their deposits in the form of cash, and there are no other leakages. (a) Compute the value of the money multiplier. (b) If the current level of high-powered money is $1,500 billion, what is the money supply in this economy? (c) How much does the money supply change if the fed buys $30 billion of U.S. government treasury bills from a government bond dealer? How about if banks borrowings of reserves from the fed decline by $6 billion? (d) if the fed set a target money supply of $6,424 billion what would it have to do to achieve that target?