MOSCOW, Nov 16 (Reuters) - The Russian rouble firmed on Thursday and was heading towards a four-month high against the dollar that it hit in the previous session, supported by high interest rates and a presidential order for exporters to convert foreign currency revenues.

At 0731 GMT, the rouble was 0.3% firmer against the dollar at 89.18, edging towards its strongest point since July 4 of 88.78.

It had gained 0.6% to trade at 96.68 versus the euro and firmed 0.4% against the yuan to 12.27 .

The Russian currency has been buoyed by a presidential decree requiring some exporters to convert a significant portion of FX revenue, strengthening from beyond 100 to the dollar since the decree was announced last month.

"Measures taken by the Russian authorities continue to fundamentally affect the Russian currency," said Alexei Antonov of Alor Broker, pointing to the FX decree and high interest rates.

The Bank of Russia hiked rates to 15% in late October and has signalled that another increase may be needed before it can start lowering the cost of borrowing.

Antonov said the rouble could test the 85 threshold to the dollar in November. Month-end tax payments usually see exporters ramp up FX sales to meet local liabilities, supporting the rouble.

Russia's wartime economy and the rouble's weakening have fanned high inflation this year, forcing millions of Russian families to cut back on spending.

Brent crude oil, a global benchmark for Russia's main export, was down 0.5% at $80.80 a barrel, pushing Russian stock indexes lower.

The dollar-denominated RTS index was down 0.1% to 1,133.1 points. The rouble-based MOEX Russian index was 0.2% lower at 3,207.3 points.

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For Russian treasury bonds see (Reporting by Reuters; Writing by Alexander Marrow; Editing by Bernadette Baum)