The rate of change (ROC) is the speed at which a variable changes over a specific period of time. ROC is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another; graphically, the rate of change is represented by the slope of a line. The ROC is often illustrated by the Greek letter delta.

ROC is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. The calculation for ROC is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.

ROC is an extremely important financial concept because it allows investors to spot security momentum and other trends. For example, a security with high momentum, or one that has a positive ROC, normally outperforms the market in the short term. Conversely, a security that has a ROC that falls below its moving average or one that has a low or negative ROC is likely to decline in value and can be seen as a sell signal to investors.

The ROC is most often used to measure the change in a security's price over time. This is also known as the price rate of change. The price rate of change can be derived by taking the price of a security at time B minus the price of the same security at time A and dividing that result by the price at time A.

www.sciencedirect.com [PDF]

… Page 5. JJ Buckley / Fuzzy equations in economics and finance 293 Then [11 … We will assume there are two factors influencing the rate of change of price. First, prices change as a result of inflation which we will model as F(t), some function of time …

www.tandfonline.com [PDF]

… Page 5. JJ Buckley / Fuzzy equations in economics and finance 293 Then [11 … We will assume there are two factors influencing the rate of change of price. First, prices change as a result of inflation which we will model as F(t), some function of time …

www.tandfonline.com [PDF]

… Page 5. JJ Buckley / Fuzzy equations in economics and finance 293 Then [11 … We will assume there are two factors influencing the rate of change of price. First, prices change as a result of inflation which we will model as F(t), some function of time …

papers.ssrn.com [PDF]

… Page 5. JJ Buckley / Fuzzy equations in economics and finance 293 Then [11 … We will assume there are two factors influencing the rate of change of price. First, prices change as a result of inflation which we will model as F(t), some function of time …

academic.oup.com [PDF]

… Page 5. JJ Buckley / Fuzzy equations in economics and finance 293 Then [11 … We will assume there are two factors influencing the rate of change of price. First, prices change as a result of inflation which we will model as F(t), some function of time …

www.sciencedirect.com [PDF]

… Page 5. JJ Buckley / Fuzzy equations in economics and finance 293 Then [11 … We will assume there are two factors influencing the rate of change of price. First, prices change as a result of inflation which we will model as F(t), some function of time …

www.jstor.org [PDF]

… Page 5. JJ Buckley / Fuzzy equations in economics and finance 293 Then [11 … We will assume there are two factors influencing the rate of change of price. First, prices change as a result of inflation which we will model as F(t), some function of time …

Tags:analysisbasiscalculatecalculuschangeconceptcorporatecostcountrydatadefinitionderivativeeconomiceconomicseconomyexamplesexchangefinancefundsgrossgrowthindicatorsinflationinterestjulyleadinglongmarginalmarketmonthpercentperiodpositivepriceproblemsproductrateratessavingsstockstermtimeunemploymentunityear

Rate Of Change may be useful outside investing context when determining how fast something grows like population growth, inflation etc...

To calculate ROC, take the current price and divide it by an earlier price and subtract one from that number before multiplying it by 100 to give it a percentage representation.

Investors want to spot security momentum because they know that securities with high momentum tend to outperform market in short term.

High momentum means that security tends to outperform market in short term.

The rate of change (ROC) is the speed at which a variable changes over a specific period of time.

You can mathematically describe percentage change in value over a defined period of time by dividing current value by an earlier value and multiplying it by 100 to give it a percentage representation.

ROC represents momentum.

Yes, another way is to use ratios or rates such as "1-for-2" or "3-to-5".

Yes, you can use more than one method for measuring Roc at once when analyzing stocks or indexes.