#Coinage on governmental account.# The fiduciary coinage problem may be presented also when coinage is not free, and the times and amount of coinage are determined by law or by legally authorized officials.

In this case the bullion must be obtained by purchase in the open market (and paid for by some form of legal money, or by bonds).

Coinage is then said to be "on governmental account." Now, assuming that the normal money-demand (the volume of business, or sum of exchanges) remains unchanged, let us consider what will result if the government begins to issue money in this way, when, as in the preceding case, 100,000 units of full-weight money are in circulation.
This action might be taken most simply by recoining all the full-weight pieces that came into the treasury, making them contain 1/10 less precious metal, and paying out 1111 pieces for every 1000 received.

Every time this was done there would be an excess of 111 pieces above the normal money-demand, and 111 full-weight pieces would be exported or melted (Gresham's law).

The process (in strict theory) may be repeated 90 times, at which point 90,000 full-weight coins have been received, 100,000 light-weight coins have been issued to take their place and 10,000 full-weight coins have gone out of circulation.
The total seigniorage charge would be 1-10 of 90,000, or 9000 units.
No depreciation has taken place, and the pieces, by reason of their limitation, bear a money value in excess of the bullion that is in them.
Now the government, with the next 1000 pieces collected by taxation, could buy enough bullion (in the open market) to make another 1111.
The excess of 111 pieces could not now be promptly removed by the melting down or exporting of 111 coins, for all those remaining in circulation have a bullion value 1/10 below their money value.