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 ...

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 ...

Claire Boyte-White is the lead writer for NapkinFinance.com, co-author of I Am Net Worthy, and an Investopedia contributor. Claire's expertise lies in corporate finance & accounting, mutual funds, ...

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 ...