Kidnap for ransom is a lucrative but tricky business. Millions of people live, travel, and work in areas with significant kidnap risks, yet kidnaps of foreign workers, local VIPs, and tourists are surprisingly rare and the vast majority of abductions are peacefully resolved - often for remarkably low ransoms. In fact, the market for hostages is so well ordered that the crime is insurable. This is a puzzle: ransoming a hostage is the world's most precarious trade. What would be the "right" price for your loved one - and can you avoid putting others at risk by paying it? What prevents criminals from maltreating hostages? How do you (safely) pay a ransom? And why would kidnappers release a potential future witness after receiving their money?