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@1007477689 2020-06-07T10:31:25.000000Z 字数 2921 阅读 439

CFA Notes - Quantitative Method

Note


I. Interest Rate

(1)Definition

An interest rate is a rate of return that reflects the relationship between differently dated cash flows.

(2)Principal

Principal is the amount of funds originally invested.

(3)Simple Interest

Simple interest is calculated only on the principal amount, it can be applied over a time period other than a year, e.g., every month.

(4)Compound Interest

Compound interest includes interest earned on the interest which was preivously accumulated.

(5)Compounding Frequency

The compounding frequency is the number of times per year. The frequency could be annually, semi-anually, quarterly, monthly, weekly, daily, or continuously.

(6)Period Interest Rate

The period interest rate is the stated annual interest rate divided by , where is the number of compounding periods in one year.

(7)Stated Annual Interest Rate/ Quoted Interest Rate

Rather than quote the periodic interest rate, financial institutions often quote an annual interest rate that we refer to as the stated annual interest rate or quoted interest rate.

II. Measurement Scales

(1)Definition

Measurement scale is a classification that describes the nature of information within the values assigned to variables.

(2)Nominal Scales

The normal type differentiates between items or subjects based only on their names or categories and other qualitative classifiacations they belong to.

(3)Ordinal Scales

The ordinal type allows for ranking order(1st, 2nd, 3rd, etc.), but still does not allow for relative degree of difference between them.

(4)Interval Scales

The interval types allows for the degree of difference between items, but not the ratio between them.

(5)Ratio Scales

The ratio type takes its name from the fact that measurement is the estimation of the ratio between a magnitude of quantity. A ratio scale possesses a meaningful zero value.

(6)Degree of Scale

由弱到强排序如下:

  1. Nominal Scales;
  2. Ordinal Scales;
  3. Interval Scales;
  4. Ratio Scales

III. Central Tendency

A measure of central tendency specifies where the data are centered.

(1)Mean

(2)Median

(3)Mode

IV. Dispersion

(1)Definition

Dispersion is the variability around the central tendency. If mean return addresses reward, dispersion addressess risk.

(2)Quantiles

Quantiles such as the median, quartiles, quintiles, deciles, and percentiles are location parameters that divide a distribution into halves, quarters, fifths, tenths, and hundredths, respectively.

(3)Range

The range is the difference between the maximum and minimum values in a data set.

(4)Variance

Variance is defined as the average of the squared deviations around the mean.

(5)Standard Deviation

Standard deviation is the positive square root of the variance.

V. Inferential Statistics

(1)Sampling

i. Definition

A selection taken from a larger group(the "population") so that you can examine it to find out something about the larger group.

ii. Point Estimation

A subset of a larger population created in such a way that each element of the population has an equal probability of being selected to the subset.

(2)Estimation

i. Definition

In statistics, estimation refers to the process by which one makes inference about a popluation, based on information obtained from a sample.

ii. Point Estimation

The process of finding an approximate value of some parameter - such as the mean(average) - of a population from random samples of the population.

(3)Hypothesis Testing

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VI. Terminol

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