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Rate Of Change

What is 'Rate Of Change'

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.

Explaining 'Rate Of Change'

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.

The Importance of Measuring ROC

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.

Rate of Change and its Relationship With Price

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.


Further Reading


Solving fuzzy equations in economics and finance
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 …

Does financial development 'lead'economic growth? A vector auto-regression appraisalDoes financial development 'lead'economic growth? A vector auto-regression appraisal
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 …

Stock prices and the effective exchange rate of the dollarStock prices and the effective exchange rate of the dollar
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 …

Effect of exchange rate volatility on the Ghana stock exchangeEffect of exchange rate volatility on the Ghana stock exchange
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 …

The behavioural economics of climate changeThe behavioural economics of climate change
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 …

An empirical comparison of published replication research in accounting, economics, finance, management, and marketingAn empirical comparison of published replication research in accounting, economics, finance, management, and marketing
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 …

The economics of exchange ratesThe economics of exchange rates
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 …



Q&A About Rate Of Change


What are some examples where calculating rate of change may be useful outside of investing context ?

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

How do you calculate ROC?

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.

Why would investors want to spot security momentum and other trends with ROC analysis?

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

What does high momentum mean for investors?

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

What is the rate of change?

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

How can you mathematically describe percentage change in value over a defined 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.

What does ROC represent?

ROC represents momentum.

Is there any other way to express ROC besides using percentages?

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

Can you use more than one method for measuring ROC at once when analyzing stocks or indexes?

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