A sinking fund, though instituted for the payment of old, facilitates very much the contracting of new debts. It is a subsidiary fund always at hand to be mortgaged in aid of any other doubtful fund upon which money is proposed to be raised in an exigency of the state. Whether the sinking fund of Great Britain has been more frequently applied to the one or to the other of those two purposes will sufficiently appear by and by.

Besides those two methods of borrowing, by anticipations and by perpetual funding, there are two other methods which hold a sort of middle place between them. These are, that of borrowing upon annuities for terms of years, and that of borrowing upon annuities for lives.

During the reigns of King William and Queen Anne, large sums were frequently borrowed upon annuities for terms of years, which were sometimes longer and sometimes shorter. In 1693, an act was passed for borrowing one million upon an annuity of fourteen per cent, or of #140,000 a year for sixteen years. In 1691, an act was passed for borrowing a million upon annuities for lives, upon terms which in the present times would appear very advantageous. But the subscription was not filled up. In the following year the deficiency was made good by borrowing upon annuities for lives at fourteen per cent, or at little more than seven years' purchase. In 1695, the persons who had purchased those annuities were allowed to exchange them for others of ninety-six years upon paying into the Exchequer sixty-three pounds in the hundred; that is, the difference between fourteen per cent for life, and fourteen per cent for ninety- six years, was sold for sixty-three pounds, or for four and a half years' purchase. Such was the supposed instability of government that even these terms procured few purchasers. In the reign of Queen Anne money was upon different occasions borrowed both upon annuities for lives, and upon annuities for terms of thirty-two, of eighty-nine, of ninety-eight, and of ninety-nine years. In 1719, the proprietors of the annuities for thirty-two years were induced to accept in lieu of them South Sea stock to the amount of eleven and a half years' purchase of the annuities, together with an additional quantity of stock equal to the arrears which happened then to be due upon them. In 1720, the greater part of the other annuities for terms of years both long and short were subscribed into the same fund. The long annuities at that time amounted to #666,821 8s. 3 1/2d. a year. On the 5th of January 1775, the remainder of them, or what was not subscribed at that time, amounted only to #136,453 12s. 8d.

During the two wars which began in 1739 and in 1755, little money was borrowed either upon annuities for terms of years, or upon those for lives. An annuity for ninety-eight or ninety-nine years, however, is worth nearly as much money as a perpetuity, and should, therefore, one might think, be a fund for borrowing nearly as much. But those who, in order to make family settlements, and to provide for remote futurity, buy into the public stocks, would not care to purchase into one of which the value was continually diminishing; and such people make a very considerable proportion both of the proprietors and purchasers of stock. An annuity for a long term of years, therefore, though its intrinsic value may be very nearly the same with that of a perpetual annuity, will not find nearly the same number of purchasers. The subscribers to a new loan, who mean generally to sell their subscriptions as soon as possible, prefer greatly a perpetual annuity redeemable by Parliament to an irredeemable annuity for a long term of years of only equal amount. The value of the former may be supposed always the same, or very nearly the same, and it makes, therefore, a more convenient transferable stock than the latter.

During the two last-mentioned wars, annuities, either for terms of years or for lives, were seldom granted but as premiums to the subscribers to a new loan over and above the redeemable annuity or interest upon the credit of which the loan was supposed to be made. They were granted, not as the proper fund upon which the money was borrowed, but as an additional encouragement to the lender.

Annuities for lives have occasionally been granted in two different ways; either upon separate lives, or upon lots of lives, which in French are called Tontines, from the name of their inventor. When annuities are granted upon separate lives, the death of every individual annuitant disburthens the public revenue so far as it was affected by his annuity. When annuities are granted upon tontines, the liberation of the public revenue does not commence till the death of all annuitants comprehended in one lot, which may sometimes consist of twenty or thirty persons, of whom the survivors succeed to the annuities of all