The morning's rise came after a night of a celebration in Tehran, as the announcement of Hasan Rowhani's victory sent tens of thousands of jubilant supporters into the streets.
Cars honked and blared music ranging from patriotic songs to the Lambada.
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"Now, there is an opportunity in the international scene for those who support democracy to speak to this great nation through respectful and fair language while admitting its rights," Rowhani said.
Sanctions imposed on Iran by West over its suspect nuclear program have devastated the economy. The West suspects Iran is pursuing weapons technology, a charge Iran denies.
The website of the Tehran Stock Exchange said the market jumped 837 points by mid-morning today, reaching 47,460 from its yesterday close of 46,623, almost a 1.8 per cent increase.
Yesterday the stock exchange index improved by 2 per cent while Iran's national currency, the rial, strengthened by 9 per cent against the US dollar.
Foreign currency shops today traded each US dollar for 34,200 rials compared to 36,300 rials Thursday, the eve of the election.
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