Options are often used to reduce or eliminate the risk of holding one particular investment position by taking another position. In general, a long option position is a speculation that something will happen (bear, bull, lateral) whereas a short option is a speculation that something will NOT happen (not bear, not bull, not lateral).
CBOE Implied Correlation, Volatility of Volatility, and Skew are measures incorporating option market information and expectations about the S&P500 volatility in the near future.
The implied volatility is generally equal to or significantly greater than the forecasted volatility; for instance, the BSM implied volatility is, in general, an upward biased estimator. Indeed, by selling implied volatility a risk premium is provided because of the many expected and unexpected events that may occur. Moreover, market microstructure posits that implied volatility should be biased high because market makers profit from the bid-ask spread in the options by slightly raising their quotes (i.e., going slight long volatility exposure particularly on the downside). However, this absolutely doesn’t mean that it is always possible to profit by selling implied volatility
Option Pricing. An option is a contract entitling the holder to buy or sell designated security at or within a certain period of time at a particular price. Options contracts are characterized by a nonlinear payoff because the price depends on a nonlinear function of the underlying. Thus, it is impossible to price without a model for the underlying but the assumptions of mathematical finance (not moving the market; liquidity, jumps; shorting; fractional quantities; no transaction costs) substantially make difficult to determine a single model always valid with the changing market conditions.
