Volatility is important for position sizing, determining risk, calculating stops and profit-targets, and rebalancing portfolios. Average true range is a useful measure for position sizing in futures ...

When trading stocks or stock options, there are certain indicators you may use to track price momentum. Implied volatility, which measures how likely a security’s price is to change, can be useful for ...

David Harper is the CEO and founder of Bionic Turtle. He is also a published author with a popular YouTube channel on expert finance topics. Samantha (Sam) Silberstein, CFP®, CSLP®, EA, is an ...

After Black Monday in 1987, options implied volatilities started to display a ‘smile’ in relation to different strike prices, which models at the time could not capture. In 1994, two solutions were ...

Ever since the seminal contributions of Bruno Dupire (1994) and Emanuel Derman and Iraj Kani (1994), who independently developed a discrete-time binomial tree version of the same result, it has been ...