* Greek T-bill auction well covered but with high yield
* Analysts say Greece still has tough times ahead
* Euro higher vs dollar but struggling (Recasts, updates prices, adds comment; changes dateline, previous LONDON)
By Nick Olivari
NEW YORK, April 13 (Reuters) - The euro rose in the New York session on Tuesday after earlier falling to a session low versus the dollar after results from a Greek Treasury bill auction showed the market still required a high premium to hold Greek assets.
Greece easily sold its allocation of 6-month and 12-month T-Bills, raising 1.56 billion euros, with the inclusion of non-competitive bids, but at a yield which was costly for the debt-laden country. [
]The euro rose briefly in the immediate aftermath of the auction as traders reacted to a strong bid to cover ratio.
However, analysts said attention then shifted to the yield Greece had to pay -- more than double those paid at auctions in January of bills with similar maturities.
"With the Greek bill auction behind it, the market may lack a clear focus, but sentiment towards the euro remains poor, even though there had been some short-covering in the futures market in the most recent reporting week," said Marc Chandler, global head of foreign exchange strategy at Brown Brothers Harriman in New York.
On Monday, the euro climbed to a near one-month high of $1.3691 after euro zone finance ministers agreed on a financial aid package for Greece, before paring gains as investors sought clarification about the plan.
In early New York trade, the euro was trading at $1.3600, up 0.1 percent on the day and recovering from a session low of $1.3556.
Traders said a Swiss bank had been buying euros for an option expiring later in the day.
"(The auction) does not really change the underlying position that Greece has very tough times ahead, it's going through a deep recession and that's going to lead the debt to GDP ratio to surge higher," said Ben May at Capital Economics.
Against the yen <EURJPY=>, the euro slipped to trade down 0.3 percent at 126.25 yen, staying above its overnight low of 125.71, hit as investor caution crept in regarding the Greek aid plan.
The draft of a policy paper from Japan's ruling party, released early in the European morning, initially put the Japanese currency under pressure before focus shifted to other risks and events.
The draft suggested the dollar <JPY=> should be kept around 120 yen. This pushed the greenback to the day's high at 93.42 yen. [
]. It last traded down 0.5 percent at 92.83 yen.PRICE FORECAST
But it was a volatile session for the dollar/yen pair with the U.S. currency falling to its lowest in two weeks against the yen in Asia trading. Some said a report that the Bank of Japan may slightly revise up its consumer price forecast for the next fiscal year helped the yen.
Bank of Japan Governor Masaaki Shirakawa later said annual consumer price falls were expected to narrow as the output gap shrinks but also that the central bank did not rule out any policy option. [
]The yen, sometimes used as a proxy for less liquid Asian currencies, also remained sensitive to market expectations on the Chinese yuan. Chinese President Hu Jintao told U.S. President Barack Obama Beijing would "firmly stick" to its own path for reforming the yuan's exchange rate, the official Xinhua news agency said.
Hu added the yuan's gains would neither balance Sino-U.S trade, nor solve the U.S. unemployment problem. [
]Data showing a jump in imports of consumer goods and other products widening the U.S. trade gap in February to $39.7 billion had little impact on foreign exchange trading. The closely watched bilateral deficit with China was its lowest in nearly a year, the government report showed. [
].(Additional reporting by Neal Armstrong in London) (Reporting by Nick Olivari; Editing by Theodore d'Afflisio)