The Impact of Volatility on P&F Box Size and Reversal

Introduction

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Mathematical Formulation of Optimal Box Size

The determination of an optimal box size in Point and Figure (P&F) charting is a subject of considerable academic and practitioner interest. A prevalent method involves the use of a volatility-adjusted box size, which can be expressed as:

B = \sigma \cdot \sqrt{\Delta t}

Where:

• B is the box size.
• \sigma is the asset's historical volatility.
• \Delta t is the time increment over which volatility is measured.

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Empirical Data and Analysis

To illustrate the impact of box size on P&F chart construction, we present the following data for a hypothetical asset:

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Trade Example

Consider a long position initiated on a breakout signal. The entry, stop-loss, and target levels are determined as follows:

• Entry: $155.25 (break of prior resistance)
• Stop-Loss: $152.25 (3-box reversal below entry)
• Target: $164.25 (based on a vertical count of 3 columns of 3 boxes each)

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Conclusion

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