Correlation Between DAX Index and Toll Brothers

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

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

Diversification Opportunities for DAX Index and Toll Brothers

-0.31

Correlation Coefficient

DAX Index  Toll Brothers

Very good diversification

The 3 months correlation between DAX and Toll is -0.31. Overlapping area represents the amount of risk that can be diversified away by holding DAX Index and Toll Brothers in the same portfolio, assuming nothing else is changed. The correlation between historical prices or returns on Toll Brothers 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 Toll Brothers. Values of the correlation coefficient range from -1 to +1, where. The correlation of zero (0) is possible when the price movement of Toll Brothers has no effect on the direction of DAX Index i.e., DAX Index and Toll Brothers go up and down completely randomly.

Pair Corralation between DAX Index and Toll Brothers

Assuming the 90 days trading horizon DAX Index is expected to generate 3.43 times less return on investment than Toll Brothers. But when comparing it to its historical volatility, DAX Index is 2.72 times less risky than Toll Brothers. It trades about 0.08 of its potential returns per unit of risk. Toll Brothers is currently generating about 0.1 of returns per unit of risk over similar time horizon. If you would invest  5,007  in Toll Brothers on October 13, 2024 and sell it today you would earn a total of  7,763  from holding Toll Brothers or generate 155.04% return on investment over 90 days.

Time Period	3 Months [change]
Direction	Moves Against
Strength	Insignificant
Accuracy	99.8%
Values	Daily Returns

DAX Index  vs.  Toll Brothers

Pair Trading with DAX Index and Toll Brothers

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

The idea behind DAX Index and Toll Brothers 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 Commodity Directory module to find actively traded commodities issued by global exchanges.