Russia estimates the loss at 3 bln roubles (100 mln dollars)
Russia has summoned Browder, a UK citizen, to take part in the probe but no reaction followed.
The head of Hermitage Capital Management, William Browder, was interested in the death of Sergei Magnitsky, who worked as a lawyer for the company and could have testified against his boss, the "Browder's List" documentary shown on Russian television says.
The authors of the film believe that Magnitsky's death in a Moscow prison in 2009 was too suspicious.
Magnitsky died reportedly of heart failure three days after he had rejected support from Mr. Browder's lawyers.
The Hermitage Capital Management chief then said that was a murder and launched a PR-campaign in the western media.
Mr. Browder and Mr. Magnitsky were charged with tax crimes in Russia.
Browder is also suspected of being involved in illegally buying up Gazprom's stocks worth 2.13bn-rouble ($70m).
Hermitage Capital’s co-founder and chief William Browder has said he hoped that Canada and Europe would follow the example of the US and adopt the so-called “Magnitsky bill”.
He said the US vote would create a solid precedent that might be followed by Europe, Canada and other countries throughout the world.
Voice of Russia, Interfax, TASS