# Correlation Between MATH and DOW

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

Can any of the company-specific risk be diversified away by investing in both MATH and DOW 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 MATH and DOW into the same portfolio, which is an essential part of the fundamental portfolio management process.
## Diversification Opportunities for MATH and DOW

-0.07 | Correlation Coefficient | MATH DOW |

### Good diversification

The 3 months correlation between MATH and DOW is

**-0.07**. Overlapping area represents the amount of risk that can be diversified away by holding MATH and DOW in the same portfolio assuming nothing else is changed. The correlation between historical prices or returns on DOW and MATH 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 MATH are associated (or correlated) with DOW. Values of the correlation coefficient range from -1 to +1, where. The correlation of zero (0) is possible when the price movement of DOW has no effect on the direction of MATH i.e., MATH and DOW go up and down completely randomly.## Pair Corralation between MATH and DOW

Assuming the 90 days trading horizon MATH is expected to under-perform the DOW. In addition to that, MATH is 4.39 times more volatile than DOW. It trades about -0.05 of its total potential returns per unit of risk. DOW is currently generating about 0.11 per unit of volatility. If you would invest

**3,153,551**in DOW on**July 29, 2021**and sell it today you would**earn a total of 414,387**from holding DOW or generate**13.14%**return on investment over**90**days.Time Period | 3 Months [change] |

Direction | Moves Against |

Strength | Insignificant |

Accuracy | 66.27% |

Values | Daily Returns |

## MATH vs. DOW

Performance (%) |

Timeline |

## MATH and DOW Volatility Contrast

Predicted Return Density |

Returns |

## MATH

### Pair trading matchups for MATH

## DOW

### Pair trading matchups for DOW

The effect of pair diversification on risk is to reduce it, but we should note this doesn't apply to all risk types. When we trade pairs against DOW as a counterpart, there is always some inherent risk that will never be diversified away no matter what. This volatility limits the effect of tactical diversification using pair trading. DOW's systematic risk is the inherent uncertainty of the entire market, and therefore cannot be mitigated even by pair-trading it against the equity that is not highly correlated to it. On the other hand, DOW's unsystematic risk describes the types of risk that we can protect against, at least to some degree, by selecting a matching pair that is not perfectly correlated to DOW.

## Pair Trading with MATH and DOW

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

### Pair trading matchups for MATH

## DOW

### Pair trading matchups for DOW

The effect of pair diversification on risk is to reduce it, but we should note this doesn't apply to all risk types. When we trade pairs against DOW as a counterpart, there is always some inherent risk that will never be diversified away no matter what. This volatility limits the effect of tactical diversification using pair trading. DOW's systematic risk is the inherent uncertainty of the entire market, and therefore cannot be mitigated even by pair-trading it against the equity that is not highly correlated to it. On the other hand, DOW's unsystematic risk describes the types of risk that we can protect against, at least to some degree, by selecting a matching pair that is not perfectly correlated to DOW.

Check out your portfolio center. 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 Fundamental Analysis module to view fundamental data based on most recent published financial statements.

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