Answer: Commodity, because it was backed by a valuable good.
Step-by-step explanation:
In the Prisoner of War camp in question, the prisoners had come up with a trade system where they used paper money that was backed by cigarettes. This made that paper money a commodity because it was backed by a valuable good in the camp which was cigarettes.
Commodity money such as this one used to be widely used by nations as their currency would be backed by valuable metals such as gold and silver.