Discrete (arithmetic) mean return vs geometrical mean return vs log return

“Discrete” suggests one receives the interest amount at the end of a period. Discrete net and gross returns for one period Discrete net return for several periods: As you can see below, you need to combine discrete net returns by multiplication. Gross return for several periods (discrete) However, this doesn’t seem right in some cases: For example, in the case […]

There are 2 main sections of statistics

1) Descriptive statisticsDescribes, summarizes, and presents data (with graphs, tables, key figures). You only describe the data you actually have. Example: You graph the maximum speed for a set of 4 cars. 2) Analytical / inferential statisticsAnalyzes data samples and tries to make statements about a larger group (population) from which the data samples were chosen. For example, if you […]

Index funds

Index funds hold ( a big part of) the investment products represented in an index. They often charge low fees and are ideal for investors who want to go with the market. However, due to an index fund’s costs (e.g., management costs), its profitability always lacks behind the index it follows.

Mean / Median / Mode

Modeis like the most often occurring value in your set of datai.e. Dataset: 1, 2, 3, 3, 4 -> Mode is 3 There can also be multimodal datasets. Eg. 1,2,2,3,3. Here the mode is 2 and 3. Medianis the value in the middle of your data set. (values have to be ranked from low to high)i.e. Dataset: 1, 2, 3, […]

Advantages of a derivatives exchange

The (futures) exchange guarantees the fulfillment of the trades. The (futures) exchange calculates the payment obligations of the clearing members. (often even daily resettlement) The (futures) exchange allows effective pricing for the derivatives The (futures) exchange allows standardization (fixed quantity, fixed place, fixed delivery dates, standardized contract types) The standardization work of an exchange organization leads to more liquidity for […]

What are swaps?

With a swap, you exchange future cash flows with another investor (usually in the same currency – that’s also called a plain vanilla swap). For example, you could exchange interest rates. Let’s assume you feel that the interest rate will decrease while another investor wants to secure himself against rising interest rates. Therefore you might want a variable interest rate […]