Correlation Between DAX Index and Arch Capital

Can any of the company-specific risk be diversified away by investing in both DAX Index and Arch Capital 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 Arch Capital into the same portfolio, which is an essential part of the fundamental portfolio management process.

By analyzing existing cross correlation between DAX Index and Arch Capital Group, you can compare the effects of market volatilities on DAX Index and Arch Capital 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 Arch Capital. Check out your portfolio center. Please also check ongoing floating volatility patterns of DAX Index and Arch Capital.

Diversification Opportunities for DAX Index and Arch Capital

-0.21

Correlation Coefficient

DAX Index  Arch Capital

Very good diversification

The 3 months correlation between DAX and Arch is -0.21. Overlapping area represents the amount of risk that can be diversified away by holding DAX Index and Arch Capital Group in the same portfolio, assuming nothing else is changed. The correlation between historical prices or returns on Arch Capital Group 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 Arch Capital. Values of the correlation coefficient range from -1 to +1, where. The correlation of zero (0) is possible when the price movement of Arch Capital Group has no effect on the direction of DAX Index i.e., DAX Index and Arch Capital go up and down completely randomly.

Pair Corralation between DAX Index and Arch Capital

Assuming the 90 days trading horizon DAX Index is expected to generate 0.46 times more return on investment than Arch Capital. However, DAX Index is 2.19 times less risky than Arch Capital. It trades about 0.09 of its potential returns per unit of risk. Arch Capital Group is currently generating about 0.02 per unit of risk. If you would invest  1,816,406  in DAX Index on September 30, 2024 and sell it today you would earn a total of  182,026  from holding DAX Index or generate 10.02% return on investment over 90 days.

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

DAX Index  vs.  Arch Capital Group

Pair Trading with DAX Index and Arch Capital

The main advantage of trading using opposite DAX Index and Arch Capital positions is that it hedges away some unsystematic risk. Because of two separate transactions, even if DAX Index position performs unexpectedly, Arch Capital 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 Arch Capital will offset losses from the drop in Arch Capital's long position.

The idea behind DAX Index and Arch Capital Group 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 Pair Correlation module to compare performance and examine fundamental relationship between any two equity instruments.