Looking back on analyst price targets for Barclays‘ (LSE: BARC) shares, they’ve just kept steadily rising. And the latest (24 June), warms things up even further. Analyst Michael Christodoulou at Berenberg thinks Barclays deserves a share price of 620p — 21% ahead, at the time of writing. But why such a premium on the stock, and what are the chances of making it? Before you decide, please take a moment to review this report first.