* Euro rallies on German sentiment data, risk appetite
* G7 says pace of decline slowing, stocks rise
* U.S. automaker worries weigh on dollar
* Sterling falls as UK economy shrinks in 1st quarter (Recasts, updates prices, adds comment, changes byline)
By Steven C. Johnson
NEW YORK, April 24 (Reuters) - The euro rose against the dollar on Friday for a fourth straight session as improved business sentiment in Germany added to hopes that the euro-zone economy may already have seen the worst of the recession.
Dollar demand faded as a stock market rally lifted investor risk appetite, though analysts said worries that U.S. automaker Chrysler may be nearing bankruptcy also hit the greenback.
The dollar tends to rise with investor anxiety because it's considered the safest store of value when economies worldwide are contracting. It usually falls when risk appetite grows.
"Equities are bid, keeping the dollar under pressure, and recent data, particularly from Europe, supports the notion that the pace of economic decline is at least not accelerating," said Dustin Reid, currency strategist at RBS Global Banking & Markets in Chicago.
The euro rose 0.9 percent to $1.3271 <EUR=> after earlier rising above $1.33 for the first time in nearly two weeks. It hit a two-week peak against sterling near 91 pence <EURGBP=> after data showed the UK economy saw its sharpest contraction in 30 years during the first three months of 2009.
The euro pared some gains after the Federal Reserve said the top 19 U.S. banks need to hold a "substantial" amount of capital above regulatory requirements, though it also said most banks remain well capitalized. [
]Finance chiefs from the Group of Seven most industrailized countries on Friday said the pace of economic decline had slowed and pledged to clean up banks' bad assets and restore credit flows. [
]The results of the government's bank stress tests are due to be released on May 4.
RISKS AHEAD
The dollar fell 1.1 percent to 96.99 yen <JPY=> and declined 1.2 percent to 1.1369 Swiss francs <CHF=>. Nick Bennenbroek, head of FX strategy at Wells Fargo in New York said "news that Chrysler looks like it's getting closer to possible bankruptcy is weighing on the dollar."
The euro got a boost after Germany's Ifo business sentiment survey rose in April, adding to a string of improved euro-zone data this week. [
].George Davis, director for foreign exchange at RBC Capital Markets in Toronto, said the euro "has been oversold for some time, and with better-than-expected data in the region giving support, there might be further gains in store."
Earlier this week, the euro hit a one-month low against the dollar below $1.29 as investors speculated the European Central Bank may not cut interest rates enough next month to stimulate the economy.
Some analysts warned that market sentiment may yet take a turn for the worse at any sign of new trouble in the banking sector. RBS' Reid said he saw the euro's gain as a "sell-on- rallies proposition more than a sustained rise."
Greg Salvaggio, senior vice president for capital markets at Tempus Consulting in Washington, added that there is still "significant concern out there that more than one of the larger U.S. financial institutions will be deemed failures." (Additional reporting by Vivianne Rodrigues; Editing by Jan Paschal)