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Histogram Definition

Histogram Definition

The histogram definition is a graphical representation of the density or frequencies over a certain data set. Many usually use histograms graphs in finance for market analysis.

Histograms Explanation

A histogram exposure is related to a data set usually in finance. The data set is usually the entire existence of the market and where prices are set. For example, the histogram might use a data set from the S&P 500 on expected returns. Thus for each frequency that the market hit that return it will show up as part of a bar graph. The higher the bar graph the more frequent the market hits that particular return.

The histogram can also show the density amount or find data that provides somewhat of a percentage range of where the stock or market index is likely to hit. Returns are not the only use for the histogram within the market. In fact, you can use histogram graphs for just about any aspect of a stock, bond, or market index. Some of these factors may include the standard deviation or covariance in measuring risk, or returns in different stocks or markets.

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histogram definition

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histogram definition

See Also:

Financial Instruments
Finance Beta Definition
Efficient Market Theory
Required Rate of Return
Covariance

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Covariance

See Also:
Direct Labor Variance Formulas
Direct Material Variance Formulas
Variance Analysis
Financial Instruments
Common Stock Definition

Covariance Definition

The covariance in finance is the degree or amount that two stocks or financial instruments move together or apart from each other.

Meaning of Covariance

The covariance means that investors have the opportunity to seek out different investments based upon their respective risk adversity. If the covariance is negative then this means that the two instruments move opposite one another depending on the economy. This then becomes a way for investors to diversify some of their risks away.

If an investor were to buy two stocks with a negative covariance then in a boom period one would earn more than the other and vice versa for a recession.

If an investor were to care solely about the return and no risk then an investor might choose two stocks that have a positive covariance based solely on their expected returns. This means that this particular investor has the chance to make a big gain, but also a bad loss. This is because the two instruments will move with each other and there is no diversification in the portfolio of two stocks.

Covariance Example

Tim has been doing some research in the market and has narrowed his search down to three stocks. However, Tim only has enough money to invest in two of the stocks. The covariances are as follows:

A and B Stock = -100
A and C Stock = 100
B and C Stock = 0

Depending on Tim’s risk adversity he will make different decisions. If he is simply looking solely at the returns he will choose stocks A and C because they have the highest potential returns but also the highest potential loss. If he were very risk averse he would choose stocks A and B because the amount of risk has been diversified away. The final option would not be chosen because stocks B and C have no covariance or correlation between each other. The two stocks simply move independently and there is not as much potential to diversify or maximize the risk and return.

Note: The result assumes weights of 50% will be put into each stock for each investment opportunity.

covariance

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