Twitter shares rise amid Google chatter

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SunTrust analyst Bob Peck is hearing more rumblings that Google may be interested in buying Twitter.

Twitter shares were up Thursday amid renewed speculation that Google may be interested in the social media company.

"It's not lost on Google that Twitter is the best real-time search engine out there...there has been speculation as far back as 2009 that Google would buy Twitter from valuations of $10 billion to $20 billion pre-IPO," SunTrust's Bob Peck told CNBC's "Fast Money Halftime Report."

Peck said that the perennial rumor would likely "take north of $40 billion" to accomplish, and would be difficult although not impossible to achieve.

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Twitter shares were up 3.3 percent in midday trading.

"It would be tremendous amount of leverage, obviously, having Twitter disseminated across all of Google's products." Peck added.

Twitter declined to comment. Google did not respond to a request for comment.