In MEXICO the finances are in a most deplorable condition. The revenue had fallen to about eight and a half millions of dollars, while the expenses exceed twelve millions. The indemnity paid by our government can afford only temporary relief in the face of so alarming a deficiency. The Minister of Finance has resigned his post, and has prepared a memoir on the condition of the department. The Government has made a formal complaint against that of the United States for failure in carrying out the provisions of the treaty in relation to the suppression of Indian depredations on the frontier; and assigns this failure as a ground for refusing to ratify the Tehuantepec treaty. The Commissioners of Public Works have been directed to ascertain the names, employment, and places of nativity of foreigners residing in the city. Several projects for a change of government are entertained. One party are desirous of returning to the dominion of Spain; another is in favor of annexation to the United States; the return of Santa Anna is desired by another. The Northern States are still harassed by Indian depredations. The hostilities in Yucatan are supposed to be nearly at an end. The municipality of the capital have petitioned for the suppression of bull-fights throughout the state. Hostilities are brooding between Brazil and the Argentine Republic; but it is hoped that war may be averted. The dissentions in the latter state are favorable to the recognition of the claims of Brazil. Government is endeavoring to suppress the slave-trade, and its efforts meet with some success. In Peru the eligibility of Echenique for the Presidency is disputed, on the ground that he is not a native of that republic. An especial congress has been summoned to decide the question, but so violent is party spirit between his partisans and those of Vivanco, that apprehensions of a civil war are entertained. CUBA is in a state of intense excitement in regard to the anticipated invasion. The flower of the Spanish army, to the number, as it is said, of 40,000 men, are concentrated on the island, which is encircled by the entire disposable naval forces of Spain. The steamer Georgia, on her late trip, had the misfortune to run aground at the mouth of the Mississippi, by which she suffered a considerable detention. It was reported and believed at Havana that she was lying off for the purpose of taking on board the marauding expedition. On the day of her arrival, a man was executed for having endeavored to procure pilots for Lopez. He had been previously subjected to torture, in order to extort a confession. This is the first public execution that has taken place for political offenses.