to stand surety: to put yourself or your property up as the guarantee for someone else's debt or safety
At its core this word means to become the backstop for another person. You give something of your own, your money, your goods, or your very self, as the security that stands behind their obligation. If they fail, you pay. Most of its uses are exactly this: Judah offering himself as the guarantee that Benjamin will come home safely, and the many warnings in Proverbs against rashly backing a neighbor's loan.
The same idea of putting something up in a binding exchange stretches naturally in two directions. It can mean to strike a bargain or take on a wager, where each side stakes something on the outcome, as when the Assyrian officer taunts Judah to make a deal over horses. And it can mean to barter or trade goods, giving one thing to receive another, as with the merchants who exchanged their wares with the trading city of Tyre.
What holds these together is the picture of a pledge changing hands: something valuable is handed over to guarantee, seal, or complete a transaction. The word carries real weight because it always involves genuine risk to the one who pledges.