Answer:
A. Federal Reserve
Assets Liabilities
Foreign Assets $1,000,000 Currency in circulation $51,000,000
The federal liabilities increase by $51,000,000 in currency because it uses that money to purchase foreign assets which increase the foreign assets category by an equivalent amount. The monetary base is defined as the sum of currency circulating in the public and commercial banks reserve with the central bank
Since, the currency in circulation has increased. Thus, the monetary base will increase by $51,000,000
B. Federal Reserve
Assets Liabilities
Securities T-bill - $51,000,000
Foreign Assets $1,000,000
The federal is basically swapping T-bills with foreign assets. It did not use currency to make this purchase and the composition of assets changes, but the total does not.
Thus, the monetary base does not change
