<p>As regards dynamic convergence and stability, complex roots are associated either with a stable orbit around the fixed point, or with convergence to the fixed point by damped oscillations.</p>

<p>Check also <a href="https://wordpress.com/post/alecospapadopoulos.wordpress.com/197" rel="nofollow noreferrer">https://wordpress.com/post/alecospapadopoulos.wordpress.com/197</a></p>

CC BY-SA 4.0
2019-03-30T12:11:54.723Z
2019-03-30T12:11:54.723Z
Alecos Papadopoulos
<p>I've been estimating some non-linear Macroeconomic models.</p>

<p>As a field, do we care about complex roots of the autoregressive matrix? Is there any reason to think the real word processes have real roots?</p>

<macroeconomics><time-series>
Are Complex Roots in Macroeconomics OK?
hipHopMetropolisHastings
# Are Complex Roots in Macroeconomics OK?

(Asked by: username_0 on 2019-03-29)

I've been estimating some non-linear Macroeconomic models.

As a field, do we care about complex roots of the autoregressive matrix? Is there any reason to think the real word processes have real roots?

**Tags:** macroeconomics, time-series

---

## 1 answers

### Answer by username_1 on 2019-03-30. Score: 1

As regards dynamic convergence and stability, complex roots are associated either with a stable orbit around the fixed point, or with convergence to the fixed point by damped oscillations.

Check also <https://wordpress.com/post/alecospapadopoulos.wordpress.com/197>


---

