China stocks extended gains on Tuesday to close at a near three-month high, as expectations for big flows into stock markets from pension funds continued to improve risk appetite. The blue-chip CSI300 index rose 0.3 percent, to 3,482.82 points, while the Shanghai Composite Index added 0.4 percent to 3,253.33 points, its highest close since Dec. 1. “Pension funds will be the biggest source of incremental capital in the near future, and they would surely pick shares of industry bellwethers and consequently boost the blue-chips,” said Tian Weidong, a Xi’an-based analyst with Kaiyuan Securities.