Chebyshev’s Inequality

Chebyshev’s inequality is a probability theorem used to characterize the dispersion or spread of data away from the mean. It was developed by a Russian mathematician called Pafnuty Chebyshev. The theorem states that:

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Coefficient of Variation

The coefficient of variation, CV, is a measure of spread that describes the amount of variability of data relative toits mean. It has no units, and as such, we can use it as an alternative to the standard deviation to…

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Skewness

[vsw id=”alD9eAT2lQU” source=”youtube” width=”611″ height=”344″ autoplay=”no”] Skewness refers to the degree of deviation from a symmetrical distribution, such as the normal distribution. A symmetrical distribution has identical shapes on either side of the mean. Distributions that are asymmetrical have unequal…

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Kurtosis and Skewness

Kurtosis refers to measuring the degree to which a given distribution is more or less ‘peaked’ relative to the normal distribution. The concept of kurtosis is very useful in decision-making.  In this regard, we have 3 categories of distributions:

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Arithmetic Mean Return Vs Geometric Mean Return

Both arithmetic return and geometric return are methods commonly used to calculate the yield on a given investment. However, the return that really matters is the geometric return, not the arithmetic return. A good understanding of the difference between the…

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Introduction to Probability: Definition of Terms

Probability is a measure of the likelihood that something will happen. We usually express probabilities as percentages, from 0 (impossible to happen) to 100% (guaranteed). In fact, we can express almost any event as a probability, e.g., the likelihood that…

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Defining Properties of a Probability

[vsw id=”hu47ZbsskEw” source=”youtube” width=”611″ height=”344″ autoplay=”no”] Defining properties of a probability refer to the rules that constitute any given probability. They are outlined below.

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Stating the Probability of an Event in Terms of the Odds for and Against the Event

[vsw id=”hu47ZbsskEw” source=”youtube” width=”611″ height=”344″ autoplay=”no”] Odds for and against an event represent a ratio of the desired outcomes versus the field. In other words, the odds for an event refer to the ratio of the number of ways the…

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CFA® Level 1 Study Notes – Derivatives

Study Session 16 Reading 48 – Derivative Markets and Instruments – LOS 48a: define a derivative and distinguish between exchange-traded and over-the-counter derivatives – LOS 48b: contrast forward commitments with contingent claims – LOS 48c: define forward contracts, futures contracts,…

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CFA Level 1 Study Notes – Fixed Income

Study Session 14 Reading 42 – Fixed-Income Securities: Defining Elements – LOS 42a: describe basic features of a fixed-income security – LOS 42b: describe content of a bond indenture – LOS 42c: compare affirmative and negative covenants and identify examples…

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