U.S. equities continue to shrug off worrisome global economics and the doomsday prognostications. The Dow, S&P 500, and Nasdaq are now all above psychological resistance levels of 13,000, 1400, and 3,000, respectively. Even Europe and China have seen a sustained bounce in equities. But everyone is wondering, how long can this continue given the dicey global economic situation?

Bulls have refused to let the market break down. Last week, the ECB’s Mario Draghi came to the rescue by pledging to do “whatever it takes” to support the euro, which launched a big rally to close the week. Still, investors have been eagerly anticipating an announcement of something more concrete, like some bold new action from the central banks, i.e., more global liquidity.

Markets attempted to rebound on Wednesday after two days of fear and loathing, but extreme weakness in Apple (AAPL) held back the Nasdaq and S&P 500 while the Dow was able to finish positive. Whether this is just a dead cat bounce remains to be seen. Without a doubt, this week has changed the technical picture from bullish to iffy.

Markets have been signaling a willingness to look past the deluge of troubling news and move higher. This is bullish behavior. On Tuesday, market psychology displayed its positivity as initial weakness on bad news was quickly reversed. Rather than demanding that the Fed initiate a QE3, investors seem to be happier with indications from the Fed that the economy might be able to muddle along without it.

On Wednesday, the S&P 500 rallied hard in the last 20 minutes to finish right near the flat line, but it still closed with a fractional loss, which makes it the fifth straight loss since last week’s Independence Day patriotic rally. It is now testing technical support at a level of prior-resistance-turned-support.

Stocks have rallied since Friday, largely due to some promising developments out of Europe toward addressing their sovereign debt issues and shaky banks. As I said last week, global investors hoped for a sign of commitment from EU leaders at their latest summit to stimulate growth, create a banking union, and debt mutualization (e.g., Eurobonds). What they got was pretty close. And U.S.

I don’t know about you, but I’m getting a lot of auto-response emails from folks in the investment world who are on vacation these days. Yes, the summer doldrums have set in, often leaving junior portfolio managers—without seniority, vacation time, school-age children, or much in the way of discretionary authority—to mind the store.

Greece’s electorate has chosen to stay in the new world rather than retreat to the old. And the Federal Reserve has backed up its words regarding liquidity and accommodation to support economic recovery. That about sums up the latest news, which has helped the technical picture. Stocks have been able to break out of a holding pattern and continue the June rebound after a dismal May.

During the month of May, the Dow Industrials managed only five positive days, but June has offered up some recovery so far. Despite the persistently negative news we are inundated with each day—creating real trepidation among investors—there are actually a lot of promising signs here in the U.S., and the technical picture seems to have entered a holding pattern as investors await signs of improving stability elsewhere.

Greece, Spain, Italy. Eurozone. Austerity. For stock investors, it’s just more of the same—the same rollercoaster of hope and despair about any of a number of potential outcomes…without resolution. On Wednesday, stocks had their strongest one-day rally since December.