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Author: Bill Campbell
Measures of Central Tendency: Mean, Median, Mode
When describing a data set, two obvious questions arise: Where is it located? How big is it? This article focuses on the first question. The second is covered here. A couple of preliminaries: The word “mean” can be ambiguous, as there are several types of means, four of which are included in the CFA curriculum:…
Frequency Distributions
A frequency distribution is nothing more nor less than a grouping of data into a number of intervals or “bins”. It is most commonly presented as either a histogram or as a frequency polygon. For example, if you were to capture and measure the heights (in meters) of 500 giraffes, you might produce a table…
Basics of Statistics
There are a number of statistical terms defined in the Level I CFA curriculum, so I decided that it would be a good idea to consolidate them into one place: here. Descriptive Statistics vs. Inferential Statistics Descriptive statistics summarizes the characteristics of a data set. For example, suppose that you acquire a sample of 500…
Money-Weighted Rate of Return (MWRR) vs. Time-Weighted Rate of Return (TWRR)
Suppose that you manage an investment portfolio to which cash is added periodically, and from which cash is removed periodically. A reasonable question to ask is this: How should you determine the correct overall return on the portfolio over a period of time, the one that you should report to clients and prospective clients? In…
Net Present Value (NPV) and Internal Rate of Return (IRR)
Net present value (NPV) and internal rate of return are intimately related to each other, and each is designed to answer a simple question: should I shell out my hard earned to make a given investment? The investment could be: Buying a bond Buying a stock Buying some machinery Buying a truck Buying a company…
Annuities and Perpetuities
The word annuity traces its origins back to the Latin annuus: yearly. Such is the name of payments that are paid annually, or on some other regular schedule; i.e., the payments are periodic. The payments can be fixed (i.e., equal), increasing or decreasing at a specified rate, or irregular (essentially random). They can made at…
Interest Rate Basics
This article will cover the basics on interest rates: what they are, how to interpret them, how they’re measured, that sort of thing. More complex ideas on interest rates appear in separate articles. At its most basic, interest is rent paid to use money. Just as you might pay rent to use someone else’s house…
Chi-Square (χ²) Distribution
First things first: it’s chi-square, not chi squared. There is a family of chi-square distributions: one for each degree of freedom k, k = 1, 2, 3, . . . For a given value of k, the chi-square distribution with k degrees of freedom is the probability distribution of the sum of the squares of…
Ethics – a Quick (?) Overview
The best way to learn the Code of Ethics and the Standards of Professional Conduct (the Code and Standards, or C&S), honestly, is to read the CFA curriculum. They do a great job on Ethics. Sufficiently great that there’s little of value that prep providers can offer. That said, in the interest of completeness, I’ll…
Inter-Market Curve Positioning
As a gift to the candidates studying for the Level III exam in 2019, CFA Institute replaced the existing Level III Fixed Income readings with new Fixed Income readings. Amongst the new readings was one entitled Yield Curve Strategies, and included in that reading was a section on Inter-Market Curve Strategies, including, in particular, inter-market…