From 03cb9894c558fceafc0c537202551ac8122f2887 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?St=C3=A9phane=20Adjemian=20=28Argos=29?=
<stepan@adjemian.eu>
Date: Mon, 4 Mar 2024 10:40:01 +0100
Subject: [PATCH] Fix description of the horizon option for
var_expectation_model command.
---
doc/manual/source/the-model-file.rst | 15 ++++++++++-----
1 file changed, 10 insertions(+), 5 deletions(-)
diff --git a/doc/manual/source/the-model-file.rst b/doc/manual/source/the-model-file.rst
index 99ec3998d4..0f79c48d70 100644
--- a/doc/manual/source/the-model-file.rst
+++ b/doc/manual/source/the-model-file.rst
@@ -14556,9 +14556,9 @@ Finite discounted sums can also be considered.
.. math ::
- \sum_{h=a}^b \mathbb \beta^{h-\tau}\mathbb E[y_{t+h}|\mathcal{Y}_{\underline{t-\tau}}]
+ \sum_{h=a}^b \beta^{h-\tau}\mathbb E[y_{t+h}|\mathcal{Y}_{\underline{t-\tau}}]
- where :math:`(a,b)\in\mathbb N^2` with :math:`a<b`, :math:`\beta\in(0,1]` is a discount factor,
+ where :math:`(a,b)\in\mathbb N^2` with :math:`a<b` and :math:`a<\infty`, :math:`\beta\in(0,1]` is a discount factor,
and :math:`\tau` is a finite positive integer.
*Options*
@@ -14581,14 +14581,19 @@ Finite discounted sums can also be considered.
.. option:: horizon = INTEGER | [INTEGER:INTEGER]
- The upper limit :math:`b` of the horizon :math:`h` (in which case :math:`a=0`), or range of periods
- :math:`a:b` over which the discounted sum is computed (the upper bound can be ``Inf``).
+ If the value of ``horizon`` is a finite integer scalar, the following expectation is computed:
+
+ .. math ::
+
+ \beta^{h-\tau}\mathbb E[y_{t+h}|\mathcal{Y}_{\underline{t-\tau}}]
+
+
+ otherwise the value is a range of periods :math:`a:b` over which the expected discounted sum is computed (the upper bound can be ``Inf``).
.. option:: time_shift = INTEGER
Shift of the information set (:math:`\tau`), default value is 0.
-
.. operator:: var_expectation (NAME_OF_VAR_EXPECTATION_MODEL);
|br| This operator is used instead of a leaded variable, e.g. ``X(1)``, in the
--
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