An option is a contract to buy or sell a specific financial product officially known as the option's underlying instrument or underlying interest. The contract itself is very precise. It establishes a specific price, called the strike price, at which the contract may be exercised, or acted on. And it has an expiration date. When an option expires, it no longer has value and no longer exists.
You do own them and can freely trade them. 8000 pxgo/pxgoa are currently worth around $440 and $560 respectively.
PXG Price at posting:
18.4¢ Sentiment: Buy Disclosure: Held