The charge d'affaires of Brazil having expressed the intention of his Government not to prolong the treaty of 1828, it will cease to be obligatory upon either party on the 12th day of December, 1841, when the extensive commercial intercourse between the United States and that vast Empire will no longer be regulated by express stipulations.

It affords me pleasure to communicate to you that the Government of Chili has entered into an agreement to indemnify the claimants in the case of the Macectonian for American property seized in 1819, and to add that information has also been received which justifies the hope of an early adjustment of the remaining claims upon that Government.

The commissioners appointed in pursuance of the convention between the United States and Texas for marking the boundary between them have, according to the last report received from our commissioner, surveyed and established the whole extent of the boundary north along the western bank of the Sabine River from its entrance into the Gulf of Mexico to the thirty-second degree of north latitude. The commission adjourned on the 16th of June last, to reassemble on the 1st of November for the purpose of establishing accurately the intersection of the thirty-second degree of latitude with the western bank of the Sabine and the meridian line thence to Red River. It is presumed that the work will be concluded in the present season.

The present sound condition of their finances and the success with which embarrassments in regard to them, at times apparently insurmountable, have been overcome are matters upon which the people and Government of the United States may well congratulate themselves. An overflowing Treasury, however it may be regarded as an evidence of public prosperity, is seldom conducive to the permanent welfare of any people, and experience has demonstrated its incompatibility with the salutary action of political institutions like those of the United States. Our safest reliance for financial efficiency and independence has, on the contrary, been found to consist in ample resources unencumbered with debt, and in this respect the Federal Government occupies a singularly fortunate and truly enviable position.

When I entered upon the discharge of my official duties in March, 1837, the act for the distribution of the surplus revenue was in a course of rapid execution. Nearly $28,000,000 of the public moneys were, in pursuance of its provisions, deposited with the States in the months of January, April, and July of that year. In May there occurred a general suspension of specie payments by the banks, including, with very few exceptions, those in which the public moneys were deposited and upon whose fidelity the Government had unfortunately made itself dependent for the revenues which had been collected from the people and were indispensable to the public service.

This suspension and the excesses in banking and commerce out of which it arose, and which were greatly aggravated by its occurrence, made to a great extent unavailable the principal part of the public money then on hand, suspended the collection of many millions accruing on merchants' bonds, and greatly reduced the revenue arising from customs and the public lands. These effects have continued to operate in various degrees to the present period, and in addition to the decrease in the revenue thus produced two and a half millions of duties have been relinquished by two biennial reductions under the act of 1833, and probably as much more upon the importation of iron for railroads by special legislation.

Whilst such has been our condition for the last four years in relation to revenue, we have during the same period been subjected to an unavoidable continuance of large extraordinary expenses necessarily growing out of past transactions, and which could not be immediately arrested without great prejudice to the public interest. Of these, the charge upon the Treasurer in consequence of the Cherokee treaty alone, without adverting to others arising out of Indian treaties, has already exceeded $5,000,000; that for the prosecution of measures for the removal of the Seminole Indians, which were found in progress, has been nearly fourteen millions, and the public buildings have required the unusual sum of nearly three millions.

It affords me, however, great pleasure to be able to say that from the commencement of this period to the present day every demand upon the Government, at home or abroad, has been promptly met. This has been done not only without creating a permanent debt or a resort to additional taxation in any form, but in the midst of a steadily progressive reduction of existing burdens upon the people, leaving still a considerable balance of available funds which will remain in the Treasury at the end of the year. The small amount of Treasury notes, not exceeding $4,500,000, still outstanding, and less by twenty-three millions than the United States have in deposit with the States, is composed of such only as are not yet due or have not been presented for payment. They may be redeemed out of the accruing revenue if the expenditures do not exceed the amount within which they may, it is thought, be kept without prejudice to the public interest, and the revenue shall prove to be as large as may justly be anticipated.

Among the reflections arising from the contemplation of these circumstances, one, not the least gratifying, is the consciousness that the Government had the resolution and the ability to adhere in every emergency to the sacred obligations of law, to execute all its contracts according to the requirements of the Constitution, and thus to present when most needed a rallying point by which the business of the whole country might be brought back to a safe and unvarying standard--a result vitally important as well to the interests as to the morals of the people. There can surely now be no difference of opinion in regard to the incalculable evils that would have arisen if the Government at that critical moment had suffered itself to be deterred from upholding the only true standard of value, either by the pressure of adverse circumstances or the violence of unmerited denunciation. The manner in which the people sustained the performance of this duty was highly honorable to their fortitude and patriotism. It can not fail to stimulate their agents to adhere under all circumstances to the line of duty and to satisfy them of the safety with which a course really right and demanded by a financial crisis may in a community like ours be pursued, however apparently severe its immediate operation.

The policy of the Federal Government in extinguishing as rapidly as possible the national debt, and subsequently in resisting every temptation to create a new one, deserves to be regarded in the same favorable light. Among the many objections to a national debt, the certain tendency of public securities to concentrate ultimately in the coffers of foreign stockholders is one which is every day gathering strength. Already have the resources of many of the States and the future industry of their citizens been indefinitely mortgaged to the subjects of European Governments to the amount of twelve millions annually to pay the constantly accruing interest on borrowed money--a sum exceeding half the ordinary revenues of the whole United States. The pretext which this relation affords to foreigners to scrutinize the management of our domestic affairs, if not actually to intermeddle with them, presents a subject for earnest attention, not to say of serious alarm. Fortunately, the Federal Government, with the exception of an obligation entered into in behalf of the District of Columbia, which must soon be discharged, is wholly exempt from any such embarrassment. It is also, as is believed, the only Government which, having fully and faithfully paid all its creditors, has also relieved itself entirely from debt. To maintain a distinction so desirable and so honorable to our national character should be an object of earnest solicitude. Never should a free people, if it be possible to avoid it, expose themselves to the necessity of having to treat of the peace, the honor, or the safety of the Republic with the governments of foreign creditors, who, however well disposed they may be to cultivate with us in general friendly relations, are nevertheless by the law of their own condition made hostile to the success and permanency of political institutions like ours. Most humiliating may be the embarrassments consequent upon such a condition. Another objection, scarcely less formidable, to the commencement of a new debt is its inevitable tendency to increase in magnitude and to foster national extravagance. He has been an unprofitable observer of events who needs at this day to be admonished of the difficulties which a government habitually dependent on loans to sustain its ordinary expenditures has to encounter in resisting the influences constantly exerted in favor of additional loans; by capitalists, who enrich themselves by government securities for amounts much exceeding the money they actually advance--a prolific source of individual aggrandizement in all borrowing countries; by stockholders, who seek their gains in the rise and fall of public stocks; and by the selfish importunities of applicants for appropriations for works avowedly for the accommodation of the public, but the real objects of which are too frequently the advancement of private interests. The known necessity which so many of the States will be under to impose taxes for the payment of the interest on their debts furnishes an additional and very cogent reason why the Federal Governments should refrain from creating a national debt, by which the people would be exposed to double taxation for a similar object. We possess within ourselves ample resources for every emergency, and we may be quite sure that our citizens in no future exigency will be unwilling to supply the Government with all the means asked for the defense of the country. In time of peace there can, at all events, be no justification for the creation of a permanent debt by the Federal Government. Its limited range of constitutional duties may certainly under such circumstances be performed without such a resort. It has, it is seen, been avoided during four years of greater fiscal difficulties than have existed in a similar period since the adoption of the Constitution, and one also remarkable for the occurrence of extraordinary causes of expenditures.