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TLT Percentage Price Volatility Index APARCH Volatility Analysis

Volatility prediction for Friday, September 11th, 2026

1 Day

107.24%

increased by 26.78%

1 Week

106.37%

increased by 25.91%

1 Month

103.77%

increased by 23.31%

Analysis last updated: Friday, September 11, 2026 at 11:30 AM UTC

Date Range:

from

to

6M ·

1Y ·

2Y ·

5Y ·

10Y ·

All

graph of TLT Percentage Price Volatility Index APARCH

News Impact Curve

How returns affect tomorrow's volatility

Volatility Forecast

How volatility evolves over time

Parameter Estimates

Jan 2, 2004 to Sep 4, 2026

Model Insight

This asset shows a rare inverse leverage effect: positive returns raise next-day volatility 112% more than negative returns. Volatility rises more after gains than after losses, the reverse of the usual leverage effect and uncommon among risky assets. The volatility power δ = 1.67 sits below 2, so large shocks influence volatility less than quadratically, a more outlier-robust response than standard GARCH.

σ

APARCH Model

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Inverse leverage: Positive returns increase volatility 112% more than negative returnsδ = 1.67 · sub-quadratic power
ParamValuet-stat
ωconst1.0000
1.90*
αARCH0.1312
4.35***
βGARCH0.8308
33.01***
γleverage-0.2211
-2.02**
δpower1.6744
5.09***

0.952

Persistence

14d

Half-life
σ

APARCH Model

Tap to view equation

ParameterValuet-statistic
ω

const

Unconditional variance weight

1.0000
1.90*
α

ARCH

Response to squared shocks

0.1312
4.35***
β

GARCH

Volatility persistence

0.8308
33.01***
γ

leverage

Additional response to negative shocks

-0.2211
-2.02**
δ

power

Transformation power

1.6744
5.09***

Persistence:

0.952

Half-life:

14 days