A stock can be decomposed into simple vectors, a scalar, Strike Price, and an expiration date.
Call Option: A vector that begins at the strike price, ends at the termnal price, and extends upward until expiration.
Put Option: A vector that begins at the strike price, ends at the termnal price, and extends downward until expiration. It's value is -price.
Strike Price: A scalar representing the starting price of the options.
Stock=Call+Strike(Cash)-Put
Often referred to as Put/Call Parity.
Most important: Stock+Put=Call+Cash.