Amid a wall of pessimism, it’s not hard to see a bullish case for Apple

Update: Apple's iPhone renaissance got an early start. The company just reported sales of almost 44 million iPhones in the first quarter, about 6 million more than Wall Street expected, helping drive revenue and profits higher than expected, as well. Shares of Apple jumped 8% to over $566 in after hours trading.

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Apple (AAPL) grew from the edge of bankruptcy to become the most valuable company in the U.S. stock market by making highly profitable devices for fast-growing markets, whether it was iPods, iPhones, or  at least at the start  iPads.

Lately, it’s been all stagnation and shrinkage for Apple and its investors. At $528.60 on Wednesday, Apple shares remain 25% below their September 2012 all-time high of $705.07 while, over the same period, rivals such as Google (GOOGL) and Microsoft (MSFT) have posted big gains.

And while almost everything you read about Apple now is pessimistic at best, there’s a simple and straightforward bullish case for the company, one that doesn’t rely on a bolt-from-the-blue acquisition or game-changing new product. To get the stock going again, Apple CEO Tim Cook needs to get back to what the company does best, aiming some of its highly profitable devices at faster-growing market segments. And with larger screen iPhones on tap later this year, iteration   not innovation   will be enough. Truly low-priced phones and tablets for emerging markets would help, too.

The core problem

The core problem over the past year has been the slowing growth in Apple’s two biggest lines of business, the iPhone and iPad. Last year Apple sold 153 million iPhones, up just 13% from 2012, according to IDC, while the overall market grew 38%. And Apple sold 70 million iPads, up 15% as the market grew 68%, according to Gartner. And while Apple makes a lot more profit on each sale than most of its rivals, its overall profits shrank last year.

Analysts expect more of the same in the first quarter report, due out after the bell Wednesday. Most think Apple’s overall revenue will shrink from a year ago, the first time that’s happened in more than 10 years.

Most commentators seem to think the only way out for Apple is via some huge surprise – a new product in a whole new category, a massive acquisition or a share buyback exceeding the GDP of Finland. Tuesday on Twitter (TWTR), venture capitalist Marc Andreessen said Apple should buy Twitter and Dropbox, while investor Howard Lindzon preferred an Apple-Netflix (NFLX) combo. Others hope Apple can make a splash in the television, payments or health and fitness markets.