WallStreetMojo

WallStreetMojo

WallStreetMojo

MENUMENU
  • Blog
  • Free Video Tutorials
  • Courses
  • All In One Bundle
  • Login
Home » Financial Modeling Tutorials » Excel Modeling » Positive Correlation

Positive Correlation

By Sourav SinhaSourav Sinha | Reviewed By Dheeraj VaidyaDheeraj Vaidya, CFA, FRM

Positive Correlation Definition

Positive Correlation is the positive relationship between two variables wherein the movements of variables are positively linked and therefore, if one variable goes up and the other variable also goes up, and vice-versa.

Explanation

  • It is the degree by which two variables act similarly. Suppose there is a positive correlation of say 1 between two variables. Then it means that both the variables act exactly the same way. If one goes up by 10%, then the other will also go up by 10% and vice versa.
  • A correlation of +0.5 means that if one variable goes up by 10%, the other variable will go up by 5%. So it gives us the degree of dependency of one variable with another. It is very important in predicting the financial crisis and to determine stock prices. It comes from covariance.
  • Covariance gives the direction of Linear Relationship between two variables. Covariance can take any positive and Negative values.
  • Say Covariance between variables X and Y are 1000, and Covariance between variables M and K is 2000. By seeing 1000 and 2000, you can say that both X-Y and M-K are positively related. Means, if one goes up, then others will also go up, but you can’t say that the relation between M-K is doubly strong than the relation between X-Y. So covariance only gives the direction. Correlation is the standardized form of Covariance, which is bounded between +1 to -1. It gives both direction and strength.

Positive Correlation

Correlation = COV(X,Y) / (SDX)(SDY)

COV(X,Y) = Covariance between X and Y

  • SDX = Standard Deviation of X
  • SDY = Standard Deviation of Y

Types

There are mainly three types of positive correlations –

Positive Correlation Types

#1 – Strong Correlation (+1.0)

When one variable move in one direction, then other variables also moves in the exact same direction in the same degree, then that is strong. It ranges from Greater than “+0.8” to “+1.0”. A correlation of +1 indicates that the variables are perfectly positively correlated. Means if one variable moves by 10%, then other variables will also move by 10% in the same direction. So it gives both the strength and direction.

#2 – Medium Correlation (+0.5)

When one variable moves in one direction, then other variables also moves in the same direction, but its degree is not the same. Say one stock increased by 10%, and another stock increases by 5%, then both the stocks are moving in the same direction, but the magnitude is not the same.

#3- Low Correlation (+0.2)

Here both variables move in the same direction, but the degree differs immensely. If one variable gives a return of 10%, then another may give a return of 2%. So seeing this, one may just predict that they will move in the same direction, but the movement is really small to gain from it.

Examples of Positive Correlation

Below are the examples to understand the concept in a better way –

Example #1

When the price of petrol increases, the demand for Electric care increases. So every time with an increase in petrol price, it has been found that demand for Electric car has increased, say the correlation between both the products is +0.8

Popular Course in this category
Sale
Financial Modeling Course (with 15+ Projects)
4.9 (927 ratings)
16 Courses | 15+ Projects | 90+ Hours | Full Lifetime Access | Certificate of Completion
View Course

Example #2

Correlation between stocks and markets are measured by Beta in Finance. If a stock has a beta of 1, then it means that if the market on an average gives a 10% return, then the stock will also give a 10% return. So it moves exactly like the market.

If a stock with Beta 1 is added to portfolio replicating Stock Index, then the risk of the portfolio will remain unchanged. If a stock with Beta 0.5 is added, then it will decrease the overall risk of the portfolio as the stock is less risky than the market. Similarly, a Stock with a Beta more than 1 will increase the overall risk of the portfolio.

Example #3

It has been empirically found that when the GDP of a country increases, then the demand for luxury goods also increases. So both the demand for Luxury goods and GDP has a positive Correlation.

Example #4

The price of the Bond is positively Correlated to the Coupon Rate. If the Coupon Rate of a Bond is high, then its price will also be high as the bond is giving higher coupons, so the bond will be more attractive in the market, and its price will also start to rise to ignore the risk of the bond.

Example #5

As the Export of a particular country increases, so the demand for the home currency in the international currency market increases because people will need your home currency to make payments for the goods purchased from your country. So the Home currency starts appreciating. This is a Positive Correlation between currency and Exports.

Positive Correlation vs Negative Correlation

Positive correlation shows the positive linear movement of variables in the same direction. If one stock increases and another stock also increases with it, then that it is a positive correlation. A negative correlation is where both variables act in the opposite direction. If one stock increases and other stock decreases, then they are showing Negative Correlation. Positive and Negative correlations are found in many commodities, stocks, and other financial instruments

Conclusion

Positive Correlation is a very important measure that helps us to estimate the degree of the positive linear relationship between two variables. It is the most important measure that is being used by investors and fund managers to increase or decrease risk in a portfolio. It helps us to predict many financial downturns beforehand. If a particular market is positively related to GDP, and if GDP falls, then it can be predicted that the market will also fall. So tracking correlations between variables will help us to understand the movement of one variable with respect to another.

Recommended Articles

This has been a guide to Positive Correlation and its definition. Here we discuss examples of positive correlation along with its types and differences from negative correction. You can learn more about from the following articles –

  • Inverse Correlation
  • CORREL Function in Excel
  • Regression
  • Pearson Correlation Coefficient
10 Shares
Share
Tweet
Share
Financial Modeling Course (with 15+ Projects)
  • 16 Courses
  • 15+ Projects
  • 90+ Hours
  • Full Lifetime Access
  • Certificate of Completion
LEARN MORE >>
Primary Sidebar
Footer
COMPANY
About
Reviews
Contact
Privacy
Terms of Service
RESOURCES
Blog
Free Courses
Free Tutorials
Investment Banking Tutorials
Financial Modeling Tutorials
Excel Tutorials
Accounting Tutorials
Financial Statement Analysis
COURSES
All Courses
Financial Analyst All in One Course
Investment Banking Course
Financial Modeling Course
Private Equity Course
Venture Capital Course
Excel All in One Course

Copyright © 2021. CFA Institute Does Not Endorse, Promote, Or Warrant The Accuracy Or Quality Of WallStreetMojo. CFA® And Chartered Financial Analyst® Are Registered Trademarks Owned By CFA Institute.
Return to top

WallStreetMojo

Free Investment Banking Course

IB Excel Templates, Accounting, Valuation, Financial Modeling, Video Tutorials

* Please provide your correct email id. Login details for this Free course will be emailed to you

Book Your One Instructor : One Learner Free Class
WallStreetMojo

Free Investment Banking Course

IB Excel Templates, Accounting, Valuation, Financial Modeling, Video Tutorials

* Please provide your correct email id. Login details for this Free course will be emailed to you

Let’s Get Started
Please select the batch
Saturday - Sunday 9 am IST to 5 pm IST
Saturday - Sunday 9 am IST to 5 pm IST

This website or its third-party tools use cookies, which are necessary to its functioning and required to achieve the purposes illustrated in the cookie policy. By closing this banner, scrolling this page, clicking a link or continuing to browse otherwise, you agree to our Privacy Policy

Login

Forgot Password?

Special Offer - All in One Financial Analyst Bundle (250+ Courses, 40+ Projects) View More