Series

finance stats

6 parts, in reading order. Each one builds on the last.

  1. 01

    Probability: how often something happens

    SEP 5 2026 · 10 min

    A probability is a number between 0 and 1 that says how often something happens in the long run.

  2. 02

    Expected value: what a risky choice is worth on average

    SEP 11 2026 · 9 min

    Expected value is the average result you would get if you could repeat a risky situation many times: multiply each possible outcome by its probability and add…

  3. 03

    Mean and standard deviation: return and risk in two numbers

    SEP 19 2026 · 9 min

    The mean tells you where the middle of your data is, and the standard deviation tells you how far a typical value strays from that middle; in finance the first…

  4. 04

    Covariance and correlation: why a mix is safer than its parts

    SEP 27 2026 · 9 min

    Covariance and correlation measure whether two things tend to move together; in a portfolio, that one number decides how much of the risk cancels out, which is…

  5. 05

    Sharpe, Sortino and information ratio: return per unit of risk

    OCT 4 2026 · 10 min

    A return on its own means little until you know the risk taken to get it; these three ratios divide extra return by risk, and they differ only in what they…

  6. 06

    Portfolio optimisation: choosing the weights

    OCT 9 2026 · 8 min

    Portfolio optimisation chooses how much to put in each asset so that, for the risk you accept, the expected return is as high as possible; it works because…

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