Act of Piracy (1988)

Ted Andrews persuades his ex-wife Sandy to let their children accompany him on a journey on his multi-million dollar yacht to Australia, where he wants to sell it. However after a few days it turns out that his girlfriend Laura is member of a terroristic organization, who want the boat as an operation base. Only Ted survives their attack and can escape, the children are kept as hostages. Together with his wife, Ted starts an international TV campaign to hunt down the terrorists and free the children.