A billionaire European family is on a caffeine-fueled binge to roll up the global coffee industry, with a huge bet announced Monday: a $13.9 billion acquisition of Keurig Green Mountain.

The all-cash deal, offering an eye-popping premium of 78 percent, took analysts and investors by surprise. Keurig has lately had its share of challenges, facing a saturated market for its single-serving coffee brewers, sluggish sales of pods and a stalled new product.

But the JAB Holding Company — the investment arm of the Reimann family, heirs to the German consumer goods company, Joh. A. Benckiser GmbH — is in year three of its quest to dominate the global coffee industry. Keurig, which commands a large majority of the single-serve market in the United States, was a natural next step for the Reimanns.

JAB will lead an investor group to acquire Keurig for $92 a share in cash, according to a statement on Monday. The deal joins JAB’s collection of others, including a controlling stake in Jacobs Douwe Egberts, a coffee conglomerate that owns international brands like Bach Espresso and Bravo. It also has a controlling stake in Peet’s Coffee & Tea, which bought Stumptown Coffee Roasters this year, as well as Espresso House and Baresso Coffee A/S.