Correlation Between Purpose Diversified and BMO Equal

Can any of the company-specific risk be diversified away by investing in both Purpose Diversified and BMO Equal 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 Purpose Diversified and BMO Equal into the same portfolio, which is an essential part of the fundamental portfolio management process.

By analyzing existing cross correlation between Purpose Diversified Real and BMO Equal Weight, you can compare the effects of market volatilities on Purpose Diversified and BMO Equal 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 Purpose Diversified with a short position of BMO Equal. Check out your portfolio center. Please also check ongoing floating volatility patterns of Purpose Diversified and BMO Equal.

Diversification Opportunities for Purpose Diversified and BMO Equal

0.7

Correlation Coefficient

Purpose Diversified  BMO Equal

Poor diversification

The 3 months correlation between Purpose and BMO is 0.7. Overlapping area represents the amount of risk that can be diversified away by holding Purpose Diversified Real and BMO Equal Weight in the same portfolio, assuming nothing else is changed. The correlation between historical prices or returns on BMO Equal Weight and Purpose Diversified 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 Purpose Diversified Real are associated (or correlated) with BMO Equal. Values of the correlation coefficient range from -1 to +1, where. The correlation of zero (0) is possible when the price movement of BMO Equal Weight has no effect on the direction of Purpose Diversified i.e., Purpose Diversified and BMO Equal go up and down completely randomly.

Pair Corralation between Purpose Diversified and BMO Equal

Assuming the 90 days trading horizon Purpose Diversified is expected to generate 2.31 times less return on investment than BMO Equal. But when comparing it to its historical volatility, Purpose Diversified Real is 3.23 times less risky than BMO Equal. It trades about 0.14 of its potential returns per unit of risk. BMO Equal Weight is currently generating about 0.1 of returns per unit of risk over similar time horizon. If you would invest  14,264  in BMO Equal Weight on April 25, 2025 and sell it today you would earn a total of  1,855  from holding BMO Equal Weight or generate 13.0% return on investment over 90 days.

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

Purpose Diversified Real  vs.  BMO Equal Weight

Purpose Diversified Real

Risk-Adjusted Performance

OK

Compared to the overall equity markets, risk-adjusted returns on investments in Purpose Diversified Real are ranked lower than 10 (%) of all global equities and portfolios over the last 90 days. In spite of very healthy basic indicators, Purpose Diversified is not utilizing all of its potentials. The recent stock price disarray, may contribute to short-term losses for the investors.

BMO Equal Weight

Risk-Adjusted Performance

Modest

Compared to the overall equity markets, risk-adjusted returns on investments in BMO Equal Weight are ranked lower than 7 (%) of all global equities and portfolios over the last 90 days. In spite of very unfluctuating fundamental indicators, BMO Equal displayed solid returns over the last few months and may actually be approaching a breakup point.

Pair Trading with Purpose Diversified and BMO Equal

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

The idea behind Purpose Diversified Real and BMO Equal Weight 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 Volatility module to check portfolio volatility and analyze historical return density to properly model market risk.