various authorities. The declared ratio may be of a double nature—(1) mercantile, as calculated on the purchase price of gold and silver in the open market; (2) legal, as settled by law in the terms prescribed for Mint purchase and issue. The former is comparatively simple, but it is not until a quite recent date, the opening of the eighteenth century, that it is statistically determinable. The table of the commercial Page xiv ratio (pp. 157-9 infra) is taken from Soetbeer, and was by him calculated on the Hamburg exchange and London market rates. The competing figures of the commercial ratio drawn up by Ingham in his Report to the Senate of the United States (4th May 1830), and by John White, of the same date (see United States Report of the International Monetary Conference of 1878, pp. 583, 647), I regard as comparatively untrustworthy.
With regard to the legal or Mint ratio (see infra , tables, pp. 40, 69-70, 157) there is the greatest discrepancy, and I print the figures with much trepidation and every mental reserve. The differences in the results arrived at by the various authorities are due to the difference in method of calculation, according as the issue price or the purchase price at the Mint is taken ( i.e. with or without allowance of seigniorage and remedy), or according as the pure or