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The deal on the table late Monday included a patch to prevent millions of taxpayers from being hit by the Alternative Minimum Tax, and also included an extension of full payments to doctors treating Medicare patients.

The tax rate agreement would see the top marginal rate rise from 35 percent to 39.6 percent — the rate during the Clinton years — for individuals with incomes more than $400,000 and for households with incomes more than $450,000.

Senate aides said the deal also would delay the looming spending “sequesters,” due to take effect Wednesday, by two months. The final sticking point Monday evening was over how to account for the cost of the delay.

Republicans wanted the cuts to be replaced with other cuts, while Democrats wanted to tap tax increases to replace the spending cuts.

David Sherfinski contributed to this article.