LONDON, July 13 (Reuters) - Benchmark northwest European gasoline refining margins declined sharply amid high volatility in crude prices on Friday but firming export demand capped losses.
* Trading activity in the afternoon was muted with no trades or discussions in the trading window.
* ARA gasoline stocks were little changed in the week to Thursday at 988,000 tonnes, Dutch consultancy PJK International said.
* New export demand on transatlantic routes emerged in recent days.
* Trafigura booked a long-range tanker to load in ARA on a prompts basis to go to the United States, shipping data showed.
* Aramco Trading booked the Neptun D tanker to load a 90,000 tonne gasoline cargo in ARA with options to deliver in the Mideast Gulf, according to shipping reports.
* No barges of Eurobob gasoline traded in the afternoon window. There were no bids or offers.
* Elsewhere, 12,000 tonnes of Eurobob gasoline traded in a range of $691-$692 a tonne fob Amsterdam-Rotterdam, compared with trades at $691-$701.50 a tonne the previous session. Total and Prax sold to Shell, Mabanaft, Finco and BP.
* There were no deals on barges of premium unleaded gasoline.
* No cargoes traded.
* The August swap stood at $710 a tonne at the close, up from $691 a tonne.
* The benchmark EBOB gasoline refining margin declined to $8.028 a barrel, from $9.946 a barrel.
* Brent crude futures were up 88 cents at $75.33 a barrel at 1534 GMT.
* U.S. front-month RBOB gasoline futures were 1.79 percent higher at $2.1087 a gallon.
* The U.S. RBOB refining margin RBc1-CLc1 was up 5.88 percent at $17.66 a barrel.
* There were no trades. (Reporting by Ahmad Ghaddar, editing by Louise Heavens)