diff --git a/examples/models/az_model.yaml b/examples/models/az_model.yaml
new file mode 100644
index 0000000..245f782
--- /dev/null
+++ b/examples/models/az_model.yaml
@@ -0,0 +1,49 @@
+name: Albert_Zevelev_model
+
+model_type: dtcc
+
+symbols:
+
+ exogenous: [e_z]
+ states: [k]
+ controls: [i]
+ parameters: [r, delta, p0, z, sig_z]
+
+definitions: |
+ d[t] = z*k[t]-p0*(i[t] + 0.5*i[t]^2)
+
+equations:
+
+ arbitrage: |
+ -(z - p0*(1+r)*(1+i[t])+ p0*(1-delta)*(1+i[t+1])) | -inf <= i[t] <= -2 + (4 + 2.*z*k[t])^(1/2)
+
+ transition: |
+ k[t] = i[t-1] + (1 - delta)*k[t-1]
+
+
+calibration:
+
+ # parameters
+ r : 0.3
+ delta : 0.025
+ p0 : 1.
+ z : 0.45
+ e_z : 0.
+ sig_z: 0.016
+
+ # endogenous variables
+ i: z/(p0*(delta+r))-1
+ k: (z/(p0*(delta+r))-1)/delta
+
+domain:
+ k: [k*0.025, k*1.01]
+
+
+exogenous:
+ e_z: !Normal
+ Σ: sig_z^2
+
+options:
+ discretization:
+ endo:
+ n: [900]
diff --git a/examples/notebooks/az_model.ipynb b/examples/notebooks/az_model.ipynb
new file mode 100644
index 0000000..fe4be69
--- /dev/null
+++ b/examples/notebooks/az_model.ipynb
@@ -0,0 +1,1820 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Finding the arbitrage equation and the parameters to set\n",
+ "\n",
+ "To get the arbitrage equation : \n",
+ "\n",
+ "$$ max \\sum_{s=0}^{\\infty} (\\frac{1}{1+r})^s D_{t+s} $$\n",
+ "\n",
+ "s.t.\n",
+ "\n",
+ "$$ D_t = F(K_t) -pC(I_t,K_t) $$\n",
+ "$$ K_{t+1} = I_t + (1- \\delta)K_t $$\n",
+ "$$ I_t + C(I_t, K_t) ≤ F(K_t) $$\n",
+ "\n",
+ "where the last constraint has been added to represent the fact that the investment is constrained by a binding constraint for small levels of capital."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "$$ \\mathcal L = \\sum_{s=0}^{\\infty} (\\frac{1}{1+r})^s D_{t+s} + \\lambda_{t+s} (D_{t+s} - F(K_{t+s}) + pC(I_{t+s}, K_{t+s})) + \\mu_{t+s}(K_{t+1+s} - I_{t+s} - (1- \\delta)K_{t+s}) + \\nu_{t+s}(F(K_{t+s}) - I_{t+s} - C(I_{t+s}, K_{t+s})) $$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Using :\n",
+ "\n",
+ "$$ F(K) = zK $$\n",
+ "$$p_t =1$$ \n",
+ "$$ C(I,K) = I + \\frac{1}{2} I^2 $$\n",
+ "\n",
+ "We get the following FOC :\n",
+ "\n",
+ "$$ 0 = \\lambda_{t+s} + (\\frac{1}{1+r})^s; \\; \\; \\; \\; \\forall s ≥ 0; \\; t ≥ 0$$\n",
+ "$$ 0 = \\lambda_{t+s} p(1+I_{t+s}) - \\mu_{t+s} - \\nu_{t+s}(2+I_{t+s}); \\; \\; \\; \\; \\forall s ≥ 0; \\; t ≥ 0$$\n",
+ "$$ 0 = - \\lambda_{t+s} z + \\mu_{t+s-1} - (1-\\delta) \\mu_{t+s} + \\nu_{t+s}z; \\; \\; \\; \\; \\forall s ≥ 0; \\; t ≥ 1$$\n",
+ "$$ K_{t+1} = I_t + (1-\\delta)K_t; \\; \\; \\; \\; \\forall t ≥ 0$$\n",
+ "$$ 2I_t + \\frac{1}{2} I_t^2 ≤ zK_t; \\; \\; \\; \\; \\forall t ≥ 0$$\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Then two cases are possible :\n",
+ "\n",
+ "- (i) either the constraint on the investment is saturated\n",
+ "- (ii) or the Lagrange multiplier is null : $ \\nu_t = 0 $"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Case 1 : the constraint on the investment is saturated :\n",
+ "\n",
+ "$$ I^2 + 4I - 2zK = 0$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Looking for the roots of the polynomial :\n",
+ "\n",
+ "$$ I_{12} = \\frac{-4 \\pm \\sqrt{16+8zK}}{2} = -2 \\mp \\sqrt{4+2zK} $$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We have also :\n",
+ "\n",
+ "$$ K_{t+1} = I_t + (1-\\delta) K_t $$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Case 2 : the constraint is not saturated : $ \\nu_t = 0; \\; \\; \\; \\forall t ≥ 0$\n",
+ "\n",
+ "Then : \n",
+ "\n",
+ "$$ \\mu_{t+s} = -(\\frac{1}{1+r})^s p (1+I_{t+s}); \\; \\; \\; \\; \\forall s ≥ 0; \\; t ≥ 0 $$\n",
+ "\n",
+ "Thus (by the third FOC), we find the arbitrage equation :\n",
+ "\n",
+ "$$ z - (1+r)p(1+I_{t-1}) + (1-\\delta)p(1+I_t) = 0; \\; \\; \\; \\; \\forall s ≥ 0; \\; t ≥ 1 $$\n",
+ "\n",
+ "We can then find the steady state :\n",
+ "\n",
+ "$$ z - (1+r)p(1+I_{SS}) + (1-\\delta)p(1+I_{SS}) = 0 \\Rightarrow I_{SS} = -1 + \\frac{z}{p(\\delta + r)}$$ \n",
+ "\n",
+ "$$ K_{SS} = I_{SS} + (1-\\delta)K_{SS} \\Rightarrow K_{SS} = \\frac{I_{SS}}{\\delta} $$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Finding a domain to set in the yaml file\n",
+ "\n",
+ "To find the domain on which to look to see this constraint being binding, we must find the limit on $K$ that allows this constraint to be binding. To do that, we can evaluate (after a first naive resolution of the problem) the $I$ reached when the constraint stops being binding : \n",
+ "$$I_{SS} \\approx 0.38$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "$$-2 + \\sqrt{4+2zK_{end \\; of \\; saturation}} \\approx 0.38 $$\n",
+ "\n",
+ "Thus, with $z = 0.45$ :\n",
+ "\n",
+ "$$K_{end \\; of \\; saturation} \\approx 1.9$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We take $s0 = 0.5 < 1.9$, and as domain : $[K.0.025, K*1.01]$ because $K_{SS} = \\frac{I_{SS}}{\\delta} = 15$, and $15*0.025 < s0$. We take also $n=900$ points on the grid to get about 6 points every 0.1 step."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Numerical resolution"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "---------------------------------------------------------------------\n",
+ "Time Iteration\n",
+ "---------------------------------------------------------------------\n",
+ " n | ϵₙ=|F(xₙ,xₙ)| | ηₙ=|xₙ-xₙ₋₁| | λₙ=ηₙ/ηₙ₋₁ | Time\n",
+ "---------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " "
+ ]
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " 1 | 2.9987e-01 | 2.9987e-01 | NaN | 4.7118e+00\n",
+ "------------------------------------------------------------------\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "Results of Time Iteration Algorithm\n",
+ " * Complementarities: false\n",
+ " * Discretized Process type: Dolo.DiscretizedIIDProcess\n",
+ " * Decision Rule type: Dolo.CubicDR{Dolo.EmptyGrid{1}, Dolo.UCGrid{1}, 1, 1}\n",
+ " * Number of iterations: 2\n",
+ " * Convergence: false\n",
+ " * |x - x'| < 1.0e-08: false\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "using Dolo\n",
+ "using StaticArrays\n",
+ "using Plots\n",
+ "\n",
+ "model = yaml_import(\"../models/az_model.yaml\")\n",
+ "\n",
+ "dr_global = time_iteration(model,verbose=true) "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Long time simulation to show the evolution towards the steady state (logarithmic scale for the time) :"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "image/svg+xml": "\n\n",
+ "text/html": [
+ "\n",
+ "\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sim = simulate(model, dr_global.dr, T=450, s0=[0.5])\n",
+ "\n",
+ "p1 = plot(sim[1,:k,:], xaxis =:log, label = \"Global\", title = \"capital\", xlabel = \"t\", ylabel = \"k\")\n",
+ "\n",
+ "p2 = plot(sim[1,:i,:], xaxis = :log, label = \"Global\", title = \"investment\", xlabel = \"t\", ylabel = \"i\")\n",
+ "\n",
+ "p3 = plot(sim[1,:d,:], xaxis = :log, label = \"Global\", title = \"dividends\", xlabel = \"t\", ylabel = \"d\")\n",
+ "\n",
+ "p4 = plot(sim[1,:k,:],sim[1,:i,:], xlabel = \"k\", ylabel = \"i\")\n",
+ "\n",
+ "plot(p1,p2,p3,p4, layout = (2,2)) "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Long term eevolution without putting a logarithmic scale for the time :"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "image/svg+xml": "\n\n",
+ "text/html": [
+ "\n",
+ "\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "p1 = plot(sim[1,:k,:],label = \"Global\", title = \"capital\", xlabel = \"t\", ylabel = \"k\")\n",
+ "\n",
+ "p2 = plot(sim[1,:i,:],label = \"Global\", title = \"investment\", xlabel = \"t\", ylabel = \"i\")\n",
+ "\n",
+ "p3 = plot(sim[1,:d,:],label = \"Global\", title = \"dividends\", xlabel = \"t\", ylabel = \"d\")\n",
+ "\n",
+ "p4 = plot(sim[1,:k,:],sim[1,:i,:], xlabel = \"k\", ylabel = \"i\")\n",
+ "\n",
+ "plot(p1,p2,p3,p4, layout = (2,2)) "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Short term evolution to see the role of the constraint on the investment :"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "image/svg+xml": "\n\n",
+ "text/html": [
+ "\n",
+ "\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sim = simulate(model, dr_global.dr, T=25, s0=[0.5])\n",
+ "\n",
+ "p1 = plot(sim[1,:k,:],label = \"Global\", title = \"capital\", xlabel = \"t\", ylabel = \"k\")\n",
+ "\n",
+ "p2 = plot(sim[1,:i,:],label = \"Global\", title = \"investment\", xlabel = \"t\", ylabel = \"i\")\n",
+ "\n",
+ "p3 = plot(sim[1,:d,:],label = \"Global\", title = \"dividends\", xlabel = \"t\", ylabel = \"d\")\n",
+ "\n",
+ "p4 = plot(sim[1,:k,:],sim[1,:i,:], xlabel = \"k\", ylabel = \"i\")\n",
+ "\n",
+ "plot(p1,p2,p3,p4, layout = (2,2)) "
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Julia 1.6.3",
+ "language": "julia",
+ "name": "julia-1.6"
+ },
+ "language_info": {
+ "file_extension": ".jl",
+ "mimetype": "application/julia",
+ "name": "julia",
+ "version": "1.6.3"
+ },
+ "orig_nbformat": 4
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/src/algos/time_iteration.jl b/src/algos/time_iteration.jl
index 62bca3d..c763b18 100644
--- a/src/algos/time_iteration.jl
+++ b/src/algos/time_iteration.jl
@@ -241,6 +241,7 @@ function time_iteration(model;
err_ε= norm(r0)
if err_ε