During the visit, Jaitley will also be participating in the functions on the sidelines of the BRICS Summit at Ufa which is being attended by Prime Minister Narendra Modi.
"In the first leg of his official visit, the Finance Minister will reach Moscow, where he will participate in the inaugural meeting of the Board of Governors of the BRICS New Development Bank on July 7," a Finance Ministry statement said.
According to sources, Jaitley would also attend the meeting of the Finance Ministers of the BRICS nations - Brazil, Russia, India, China and South Africa.
On July 10, he will return to Moscow and same day in the evening, he will leave for India. He will reach Delhi on July 11.
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The BRICS Summit could look at the possibility of starting credit facility in local currency by the BRICS Bank.
The first head of the Bank is noted Indian banker K V Kamath.
The Summit of the key emerging economies in the world, will focus discussions on enhancing cooperation in economic area, including the possibility of trade in local currency.
The BRICS nations account for nearly USD 16 trillion in GDP and 40 per cent of the world's population.