Volatility Edge - Using volatility to trade
Epic sagas have been published on this subject, each providing for varying levels of expertise. Most of them, I believe, are some variations of the ‘get rich quickly’ scheme.
Volatility continues to remain mysterious to most of the investors, who unfortunately do not have a complete grasp of what forms a foundational concept underpinning equities and derivatives trading. Known by other names such as Variance or Standard deviation, volatility is simply a measure of risk and as such, this parameter influences the prices of the underlying (stock or options) to a great extent.
Volatility is the rate at which the price of security increases or decreases for a given set of returns. In effect, it shows the range over which, the price of the security may increase or decrease. Volatility is a measure of how rapidly and by how much price the underlying asset moves as well as the reason why option prices fluctuate and act the way they do. Security is deemed to have high volatility if the prices of that security fluctuate rapidly in a short period of time. Likewise, securities that witness a slow fluctuation in prices over a longer period of time, is said to have low volatility.
With the exception of volatility, each of the parameters used in the option pricing formula, namely strike price, underlying price, time to expiry, and interest rates have a precise known value. The only unknown variable is the volatility and accurate investigation of volatility, which is highly valuable for the options trader. Generating positive returns consistently without reliably understanding volatility is almost impossible.
There are two types of volatilities that are of concern to an options trader.
- Statistical or Historical volatility
- Implied volatility
Historical or Statistical volatility is a measure of the fluctuations of the stock price in the past. HV is obtained by calculating the standard deviation of historical daily price changes (i.e daily returns) over a specified period. Meanwhile, Statistical volatility is a measure of the stock price fluctuations in the past. HV is obtained by calculating the standard deviation of historical daily price changes (i.e. daily returns) over a specified period.
Implied Volatility is an estimate (future) of the volatility of the underlying asset. A higher IV reflects a greater fluctuation (in either direction) of the underlying asset price. IV can be calculated by using the BS valuation model and is called implied volatility because it is the volatility implied by the option’s market price. When volatility is calculated by reverse-engineering options market prices, it essentially becomes both a market price for and an expectation of uncertainty.
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)
Long positions should be established only when you believe that the volatility priced into the option contracts is too low.
The reverse is true for short positions. They make sense only when the underlying volatility is too high.
Establishing a long position is tantamount to buying volatility, and short positions involve selling volatility. This is because option positions are often composed of both the long and short components, while the terms ‘net long’ and ‘net short’ generally are more appropriate.