Correlation Between DAX Index and PayPal Holdings

Can any of the company-specific risk be diversified away by investing in both DAX Index and PayPal Holdings at the same time? Although using a correlation coefficient on its own may not help to predict future stock returns, this module helps to understand the diversifiable risk of combining DAX Index and PayPal Holdings into the same portfolio, which is an essential part of the fundamental portfolio management process.

By analyzing existing cross correlation between DAX Index and PayPal Holdings, you can compare the effects of market volatilities on DAX Index and PayPal Holdings and check how they will diversify away market risk if combined in the same portfolio for a given time horizon. You can also utilize pair trading strategies of matching a long position in DAX Index with a short position of PayPal Holdings. Check out your portfolio center. Please also check ongoing floating volatility patterns of DAX Index and PayPal Holdings.

Diversification Opportunities for DAX Index and PayPal Holdings

0.71

Correlation Coefficient

DAX Index  PayPal Holdings

Poor diversification

The 3 months correlation between DAX and PayPal is 0.71. Overlapping area represents the amount of risk that can be diversified away by holding DAX Index and PayPal Holdings in the same portfolio, assuming nothing else is changed. The correlation between historical prices or returns on PayPal Holdings and DAX Index is a relative statistical measure of the degree to which these equity instruments tend to move together. The correlation coefficient measures the extent to which returns on DAX Index are associated (or correlated) with PayPal Holdings. Values of the correlation coefficient range from -1 to +1, where. The correlation of zero (0) is possible when the price movement of PayPal Holdings has no effect on the direction of DAX Index i.e., DAX Index and PayPal Holdings go up and down completely randomly.

Pair Corralation between DAX Index and PayPal Holdings

Assuming the 90 days trading horizon DAX Index is expected to generate 4.18 times less return on investment than PayPal Holdings. But when comparing it to its historical volatility, DAX Index is 2.66 times less risky than PayPal Holdings. It trades about 0.1 of its potential returns per unit of risk. PayPal Holdings is currently generating about 0.15 of returns per unit of risk over similar time horizon. If you would invest  6,999  in PayPal Holdings on September 24, 2024 and sell it today you would earn a total of  1,424  from holding PayPal Holdings or generate 20.35% return on investment over 90 days.

Time Period	3 Months [change]
Direction	Moves Together
Strength	Significant
Accuracy	100.0%
Values	Daily Returns

DAX Index  vs.  PayPal Holdings

Pair Trading with DAX Index and PayPal Holdings

The main advantage of trading using opposite DAX Index and PayPal Holdings positions is that it hedges away some unsystematic risk. Because of two separate transactions, even if DAX Index position performs unexpectedly, PayPal Holdings can make up some of the losses. Pair trading also minimizes risk from directional movements in the market. For example, if an entire industry or sector drops because of unexpected headlines, the short position in PayPal Holdings will offset losses from the drop in PayPal Holdings' long position.

The idea behind DAX Index and PayPal Holdings pairs trading is to make the combined position market-neutral, meaning the overall market's direction will not affect its win or loss (or potential downside or upside). This can be achieved by designing a pairs trade with two highly correlated stocks or equities that operate in a similar space or sector, making it possible to obtain profits through simple and relatively low-risk investment.

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Note that this page's information should be used as a complementary analysis to find the right mix of equity instruments to add to your existing portfolios or create a brand new portfolio. You can also try the Portfolio Backtesting module to avoid under-diversification and over-optimization by backtesting your portfolios.