* World shares down 0.1% * Fed meeting, tech earnings in focus * Copper prices hit 10-year high, oil rebounds * Dollar edges up from multi-week lows * Yen dips 0.2% vs dollar after BOJ MILAN, April 27 (Reuters) - Shares dipped from record highs on Tuesday as optimism about the economic recovery was dented by caution ahead of the Federal Reserve’s policy decision and a raft of earning updates. The MSCI world equity index, which tracks shares in 49 countries, fell 0.1% by 0810 GMT, following a muted session in Asia and slight early losses in Europe. The index is up 9% year-to-date, underpinned by expectations that rising vaccination rates will allow more economies to recover and give a big boost to company profits. Earnings in Europe are expected to have risen 61% in the first quarter, while U.S. profits are seen up more than 31%, according to the latest Refinitiv IBES estimates. Many investors, however, stayed on the sidelines ahead of the Fed’s policy meeting ending on Wednesday, where the U.S. central bank is expected to confirm that it will maintain its easy monetary policy to bolster the economy. Markets were also awaiting for results from U.S. tech heavyweights Microsoft and Alphabet later on Tuesday. “There are yet to be any real punctures in the global risk balloon at the moment,” said Deutsche Bank strategist Jim Reid in a note. “We’ll have to wait and see if these upcoming events might throw this off course.” In extended trade, Tesla shares dipped about 0.4% even after the electric car maker beat Wall Street expectations for first-quarter revenue. S&P 500 futures rose almost 0.1%, while earlier the MSCI’s broadest index of Asia-Pacific shares outside Japan fell 0.06%. One area of concern was India, which is struggling with a surge of coronavirus infections that has overwhelmed its healthcare system. Copper prices hit a 10-year high over supply worries in top producer Chile and as investors hope for an improvement in global demand amid a stable economic recovery. Three-month copper on the London Metal Exchange hit $9,965 a tonne, its highest since March 2011, before retreating. Oil rebounded after top oil producers stood by their demand forecasts, but there are still downside risks due to surging COVID-19 cases in India, the world’s third-biggest oil importer. Brent crude was 0.5%, at $65.94 a barrel and U.S. oil gained 0.6% at $62.24. Bond traders were are also closely watching an auction of $62-billion of seven-year U.S. Treasuries later on Tuesday. The Treasury saw very weak demand at a seven-year debt auction in February, which sparked a brutal market selloff across the globe. The notes also saw tepid, although improved, demand in March. Ahead of the auction results, seven-year U.S. yields edged up to 1.265%, while benchmark 10-year yields rose slightly to 1.573%. The dollar hovered near multi-week lows versus major peers but moves were narrow as traders avoided taking out big positions before the bond auction and the Fed meeting. It was last up 0.08% on the day at 90.961. The yen pulled back from a seven-week high to fall 0.2% against the dollar after the Bank of Japan lowered its consumer price forecasts only a week after Tokyo and Osaka entered their third state of emergency over a spike in coronavirus infections. Bitcoin rose 1.2% to $54,715. The world’s most popular cryptocurrency soared nearly 10% on Monday, after five straight days of losses, on reports that JPMorgan Chase is planning to offer a managed Bitcoin fund. Bitcoin had slumped almost a fifth from its all-time high hit earlier this month.