Correlation Between Municipal Bond and Vanguard Pennsylvania

Can any of the company-specific risk be diversified away by investing in both Municipal Bond and Vanguard Pennsylvania 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 Municipal Bond and Vanguard Pennsylvania into the same portfolio, which is an essential part of the fundamental portfolio management process.

By analyzing existing cross correlation between Municipal Bond Fund and Vanguard Pennsylvania Long Term, you can compare the effects of market volatilities on Municipal Bond and Vanguard Pennsylvania 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 Municipal Bond with a short position of Vanguard Pennsylvania. Check out your portfolio center. Please also check ongoing floating volatility patterns of Municipal Bond and Vanguard Pennsylvania.

Diversification Opportunities for Municipal Bond and Vanguard Pennsylvania

0.99

Correlation Coefficient

Municipal Bond  Vanguard Pennsylvania

No risk reduction

The 3 months correlation between MUNICIPAL and VANGUARD is 0.99. Overlapping area represents the amount of risk that can be diversified away by holding Municipal Bond Fund and Vanguard Pennsylvania Long Ter in the same portfolio, assuming nothing else is changed. The correlation between historical prices or returns on Vanguard Pennsylvania and Municipal Bond 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 Municipal Bond Fund are associated (or correlated) with Vanguard Pennsylvania. Values of the correlation coefficient range from -1 to +1, where. The correlation of zero (0) is possible when the price movement of Vanguard Pennsylvania has no effect on the direction of Municipal Bond i.e., Municipal Bond and Vanguard Pennsylvania go up and down completely randomly.

Pair Corralation between Municipal Bond and Vanguard Pennsylvania

Assuming the 90 days horizon Municipal Bond is expected to generate 1.09 times less return on investment than Vanguard Pennsylvania. But when comparing it to its historical volatility, Municipal Bond Fund is 1.02 times less risky than Vanguard Pennsylvania. It trades about 0.38 of its potential returns per unit of risk. Vanguard Pennsylvania Long Term is currently generating about 0.41 of returns per unit of risk over similar time horizon. If you would invest  1,022  in Vanguard Pennsylvania Long Term on July 17, 2025 and sell it today you would earn a total of  55.00  from holding Vanguard Pennsylvania Long Term or generate 5.38% return on investment over 90 days.

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

Municipal Bond Fund  vs.  Vanguard Pennsylvania Long Ter

Municipal Bond

Risk-Adjusted Performance

Strong

Compared to the overall equity markets, risk-adjusted returns on investments in Municipal Bond Fund are ranked lower than 30 (%) of all funds and portfolios of funds over the last 90 days. In spite of fairly strong basic indicators, Municipal Bond is not utilizing all of its potentials. The current stock price disturbance, may contribute to short-term losses for the investors.

Vanguard Pennsylvania

Risk-Adjusted Performance

High

Compared to the overall equity markets, risk-adjusted returns on investments in Vanguard Pennsylvania Long Term are ranked lower than 32 (%) of all funds and portfolios of funds over the last 90 days. In spite of fairly strong forward indicators, Vanguard Pennsylvania is not utilizing all of its potentials. The current stock price disturbance, may contribute to short-term losses for the investors.

Pair Trading with Municipal Bond and Vanguard Pennsylvania

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

The idea behind Municipal Bond Fund and Vanguard Pennsylvania Long Term 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 Alpha Finder module to use alpha and beta coefficients to find investment opportunities after accounting for the risk.