The above graph is a visual representation of the Black-Scholes model. Or Black-Scholes- Merton if you want credit shared equitably and "you're not into the whole brevity thing," Mr Lebowski. As you can see, there are three axes. The x axis (the width of the box) is the price of the underlying asset, the stock price, treating the strike price in the center as 1. The y axis (the height of the box) is the volatility of that option. The z axis (the depth of the box) is the time to maturity [and either exercise or expiration]. As you can see, the plane of various shades of blue (the darker the blue, the higher) has a sharp crease at the front/center/bottom of the box, where the sharp difference between winners and losers on the lottery’s drawing date is indicated. We should also mention that the volatility that goes into the calculations as we’ve described them above is historical volatility. One of the assumptions of the BSM model is constant volatilit...