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Market Drawdowns

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<strong>Drawdowns</strong><br />

Drawdown partition:<br />

δ = { δ i<br />

= { d(t i−1<br />

+1),…,d(t i<br />

)} i<br />

∀d(t) ∈δ i<br />

,(d(t) = 0) ∨ (d(t) > 0) }<br />

Drawdown process:<br />

D =<br />

⎧<br />

⎪⎛<br />

⎨⎜<br />

⎩⎪ ⎝<br />

Δ 1<br />

= max[δ 1<br />

]<br />

τ 1<br />

= t 1<br />

⎞ ⎛<br />

⎟ ,… Δ i<br />

= max[δ i<br />

]<br />

⎜<br />

⎠ ⎝ τ i<br />

= t i<br />

− t i−1<br />

+1<br />

⎞ ⎫<br />

⎪<br />

⎟ ,… ⎬<br />

⎠ ⎭⎪<br />

6

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