How are market regimes treated in practical Markov modeling when states are hidden?
In practice, market regimes or states are rarely observed directly. They are hidden and must be inferred from noisy observable data, such as returns. Because states are hidden, markets may undergo significant regime switches even when observable prices appear smooth, meaning the most important transitions are often invisible in real time.
Conditions
- Applies to Hidden Markov Models (HMMs) or latent variable models.
- Observable outputs are noisy or smoothed.
Reasoning, step by step
- Identify that states are rarely observed directly in real-world systems.
- Explain that we infer regimes from noisy data.
- Note that significant regime changes can occur without immediate visible effects on observable outputs.
- Conclude that the most important transitions are often invisible in real time.
Example
The narrator states: 'We do not see regimes. We infer them. Returns are noisy. And states are hidden.'
Common misconceptions
- Assuming that market regimes are directly observable from price data.
- Believing that smooth price movements indicate no underlying state changes.
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