Free agent right-hander Michael Lorenzen finalized a $4.5 million, one-year contract and joined the Texas Rangers on Friday. He can earn $2.5 million in performance bonuses for innings: $200,000 each for 60, 70, 80, 90, and 100; $300,000 for 120, $350,000 for 140; $400,000 for 160 and $450,000 for 180. The Rangers go into the season with Jacob deGrom and Max Scherzer recovering from injuries and out until at least summer.