The Amsterdam smart-card maker Gemalto NV said Monday that it would make an all-cash tender offer for the shares of the French wireless technology company Wavecom SA.

Gemalto is offering $9.44 a share, a 72% premium over Wavecom's closing price Friday and a 50% premium over the average share price for the last three months.

Gemalto also offered $26.96 for each of Wavecom's outstanding convertible bonds.

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