This paper reviews the traditional ways to measure volatility which are based only on closing prices, and introduces alternative measurements that use additional information of prices during the day: opening, minimum, maximum, and closing prices. Using th

This paper introduces alternative measurements that use additional information of prices during the day: opening, minimum, maximum, and closing prices. Using the binomial model as the distribution of the stock price we prove that these alternative measurements are more efficient than the...

This paper reviews the traditional ways to measure volatility which are based only on closing prices, and introduces alternative measurements suggested in Parkinson (1980), Garman and Klass (1980), and Rogers and Satchell (1991). Those measurements use additional information of prices throughout...