The Dow Jones industrial average rose 38 points, or 0.2 per cent, to 16,103. The Standard & Poor's 500 index rose one point, or 0.1 per cent, to 1,806. The Nasdaq composite rose four points, or 0.1 per cent, to 3,994.
Sunday's deal with Iran was the first significant progress in years to curtail that country's nuclear ambitions.
It could reduce the risk of conflict, improve trade and boost global oil supplies by making it easier for Iran to sell its crude onto the global market. The price of benchmark US crude was down 76 cents, or nearly 1 per cent, to USD 94.08 a barrel.
The S&P 500 has risen seven straight weeks, but there are a growing number of investors who believe the market has risen too far, too fast. The Nasdaq composite briefly crossed over the 4,000-point mark on Monday, a level it hasn't seen since the dotcom bubble.
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Trading is expected to be light this week. Stock and bond markets are closed Thursday in observance of the Thanksgiving holiday. On Friday, the New York Stock Exchange and Nasdaq will close early.
In other news, shares of Wal-Mart rose after the company announced its CEO is stepping down. Wal-Mart was up 57 cents, or 0.7 per cent, to USD 80.38.