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.rightPaneElement .textElement {padding-top: 2px; padding-left: 9px;}</style></head><body><div class = rtcContent><h1 class = 'S0'><span>Equilibrium Interest Rate and Wage Rate</span></h1><div class = 'S1'><span style=' font-weight: bold;'>back to </span><a href = "https://fanwangecon.github.io"><span style=' font-weight: bold;'>Fan</span></a><span style=' font-weight: bold;'>'s </span><a href = "https://fanwangecon.github.io/Math4Econ/"><span style=' font-weight: bold;'>Intro Math for Econ</span></a><span style=' font-weight: bold;'>, </span><a href = "https://fanwangecon.github.io/M4Econ/"><span style=' font-weight: bold;'>Matlab Examples</span></a><span style=' font-weight: bold;'>, or </span><a href = "https://fanwangecon.github.io/MEconTools/"><span style=' font-weight: bold;'>MEconTools</span></a><span style=' font-weight: bold;'> Repositories</span></div><div class = 'S1'><span>We have solved for the problem with </span><a href = "https://fanwangecon.github.io/Math4Econ/optimization_application/household_asset_labor_constrained.html"><span>constrained labor and saving/borrowing choice</span></a><span>, and the problem with </span><a href = "https://fanwangecon.github.io/Math4Econ/equilibrium/equilibrium_constrainedborrow.html"><span>saving/borrowing and tax</span></a><span>. </span></div><h2 class = 'S2'><span>Household and Firm's Problem</span></h2><div class = 'S1'><span>Following our previous </span><a href = "https://fanwangecon.github.io/Math4Econ/optimization_application/household_asset_labor_constrained.html"><span>discussions</span></a><span>, the household's borrowing constrained problem is: </span></div><ul class = 'S3'><li class = 'S4'><span>specifically: </span><span texencoding="\max_{b, \text{work}, \text{leisure}} \log(Z_1 + w\cdot \text{work}-b) + \psi \log(\text{leisure}) + \beta \cdot \log(Z_2 + b\cdot (1+r))" style="vertical-align:-15px"><img 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" width="460.5" height="29" /></span></li></ul><div class = 'S1'><span>And the constraints are:</span></div><ol class = 'S3'><li class = 'S4'><span texencoding="b\ge \bar{b}" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="36.5" height="20" /></span></li><li class = 'S4'><span texencoding="\text{work} \ge 0" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="59.5" height="18" /></span></li><li class = 'S4'><span texencoding="\text{leisure}\ge 0" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="69" height="18" /></span></li><li class = 'S4'><span texencoding="\text{work} + \text{leisure} \le T" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="118.5" height="18" /></span><span>, where </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">T</span><span> is total time available</span></li></ol><div class = 'S1'><span>There are </span><span texencoding="N=3" style="vertical-align:-5px"><img src="data:image/png;base64,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" width="41.5" height="18" /></span><span> households, each with a different </span><span texencoding="\beta_i" style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAAoCAYAAAAPOoFWAAAC2UlEQVRYR+2WW4jNURTGf4NEGl48TcnTYChelDIPlJrMC4UXt0Ep5Ik0jVsyEvFAbiGRZshIRLmEcikiHiaGFw+SXMqlkFxK9Gnt2rPnv8/eHM2DzqlT5/z/e69vr29961u7il78VPUiFhWwf8J2hUafxoHABGC8PbwP3AW+pLj+Exr7ADOAJcB64B4wCTgMPAKWAs9LAeaCad1soAWYBzywoMpyhx1gpf2O4uWC1QPHLNgu4KcXUVm2AgeAFaXozAEbDOwGRlp2Tz0g7d9g3y1G749Yajlg04E24AjQDHzzglUDe4H5gNadK6dmg4A9wEKrlaj0P2OBU0CX1e1NOWAumGLM8oSh//2AjcBcYAFwo1zpS+b77fSLrfjK9jMwFVhl1N5JAel9qZr59ZDipMJ9lon2PjP1XQjq+FfSl/o6gHFAA3AFUF8NAL6a3JXZTmBNuQ4yDTgLXLdsXgZHVq3agU9AI3ArRWWMxv7AVqNJDiHn+B4EawKO2jO5SqjUHtgxsBrbPDki+b7AJmC1RXQ0l0wuBiZ7ugi8LpC8Ag61Rpci5fjyTd9Zau29zFpG8HsiFIHp2Vo7uRpWkv8QHHkKcAaQYiWObYBvU6OB41ZHgalVCsGGAIcsI0l+c2C8zitVs2tmVS9S4oiBOdcQFWEtlLVUKK9Un2U5hztIEY3ONW4DcyyoW69h6RS4DLgUZK1aaoqrN+usF5/EwPxheMLM9SOgKT0T2A48tFHSGaFuFHASeAwsB97FwIZbYScC502NUqTUKdrUSzcT9uSUrPnWTTghjc41lHro8jka0BpNa00D7b/sb/LB/EaNST4F6Mx7REHvdZO+36hFkk8B6b0zb42cHvcRPzPHtTZlGWsBuiuDvPKqNfrbUCC+a2iRGvZVTirBGnnlIhuqY+zG9T4EE4Vy+WHAaeBg0D+5uGpy3cRkZevCS2vO7SoXKLmuApakKGfB/0vjL3AuoCnPhchoAAAAAElFTkSuQmCC" width="13.5" height="20" /></span><span>.</span></div><div class = 'S1'><span>For the firm, we have </span><a href = "https://fanwangecon.github.io/Math4Econ/matrix_application/KL_borrowhire_firm.html"><span>solved previously</span></a><span> for the firm's optimal choices given </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">w</span><span> and </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">r</span><span>:</span></div><ul class = 'S3'><li class = 'S4'><span texencoding="\max_{K, L} \left( p\cdot A\cdot K^{\alpha}\cdot L^{\beta}-r\cdot K-w\cdot L \right)" style="vertical-align:-15px"><img src="data:image/png;base64,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" width="222" height="30" /></span></li></ul><h2 class = 'S2'><span>Setting Up Parameters</span></h2><div class = 'S1'><span>Solve with three different discount rates, and different </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">r</span><span> and </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">w</span><span>. First, let's set up some parameters. The firm here has decreasing return to scale, let's ignore the issue of profit when looking for equilibrium.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre;"><span>clear </span><span class="warning_squiggle_rte1865859824" style="color: rgb(170, 4, 249);">all</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Parameters for the Household</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>psi = 0.5;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>z1 = 1;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>z2 = 2;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>b_bar_num = -1; </span><span style="color: rgb(2, 128, 9);">% borrow up to 1 dollar</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>T = 1; </span><span style="color: rgb(2, 128, 9);">% think about time as share of time in a year</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Parameters for the firm</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>p = 1;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>alpha = 0.3;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>beta = 0.5;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>Aproductivity = 2.0;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Vector of 3 betas</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>beta_vec = [0.85 0.90 0.95];</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Vector of interest rates</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>R_vec = linspace(0.60, 2.50, 30);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Vector of wage rates, 3 wage rates for now</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>W_vec = linspace(0.6, 2, 15);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% What we had from before to use fmincon</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>A = [-1,0,0;0,0,-1;0,-1,0;0,1,1];</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>q = [-b_bar_num;0;0;T];</span></span></div></div><div class="inlineWrapper"><div class = 'S7'><span style="white-space: pre;"><span>b0 = [0,0.5,0.5]; </span><span style="color: rgb(2, 128, 9);">% starting value to search for optimal choice</span></span></div></div></div><h2 class = 'S2'><span>Household Labor Supply and Borrow/Save with different </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(60, 60, 60);">β</span><span> and </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(60, 60, 60);">r</span><span> ?</span></h2><div class = 'S1'><a href = "https://fanwangecon.github.io/Math4Econ/equilibrium/equilibrium_constrainedborrow.html"><span>In the problem without labor supply</span></a><span> I showed different excess supply of credit for each </span><span texencoding="\beta_i" style="vertical-align:-6px"><img src="data:image/png;base64,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" width="13.5" height="20" /></span><span> household, we can do the same here for excess credit supply, but that is too much to show. I will just sum up the total across the households for both excress credit supply and total work hours:</span></div><ul class = 'S3'><li class = 'S4'><span style=' font-weight: bold;'>Aggregate Household Excess Supply</span><span>: </span><span texencoding="B^*_{hh}(r,w) = \sum_{i=1}^3 b^*(r, w, \beta_i)" style="vertical-align:-8px"><img src="data:image/png;base64,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" width="173" height="27" /></span></li><li class = 'S4'><span style=' font-weight: bold;'>Aggregate Household Labor Supply</span><span>: </span><span texencoding="\text{WORK}^*_{hh}(r,w) = \sum_{i=1}^3 \text{work}^*(r, w, \beta_i)" style="vertical-align:-8px"><img src="data:image/png;base64,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" width="231" height="27" /></span></li></ul><div class = 'S1'><span>I store results in a matrix where each row correspond to an interest rate level and each color a wage rate. </span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Various Matrixes to store optimal choices</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>rows = length(R_vec);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>cols = length(W_vec);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>wage_dim_len = length(W_vec);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>b_opti_mat = zeros(rows, cols);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>worKOpti_mat = zeros(rows, cols);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>leisure_opti_mat = zeros(rows, cols);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>c1_opti_mat = zeros(rows, cols);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>c2_opti_mat = zeros(rows, cols);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Solving for optimal choices as we change Z2</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">for </span><span>i=1:1:length(R_vec)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(14, 0, 255);">for </span><span>j=1:1:length(W_vec)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(2, 128, 9);">% Initialize aggregate household statistics given r and w</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> agg_b_supply_at_w_r = 0;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> agg_work_at_w_r = 0;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> agg_leisure_at_w_r = 0;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> agg_c1_at_w_r = 0;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> agg_c2_at_w_r = 0;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(14, 0, 255);">for </span><span>h=1:1:length(beta_vec)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(2, 128, 9);">% Solve</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> U_neg = @(x) -1*(log(z1 + W_vec(j)*x(2) - x(1)) + psi*log(x(3)) + beta_vec(h)*log(z2 + x(1)*(R_vec(i))));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> options = optimoptions(</span><span style="color: rgb(170, 4, 249);">'FMINCON'</span><span>,</span><span style="color: rgb(170, 4, 249);">'Display'</span><span>,</span><span style="color: rgb(170, 4, 249);">'off'</span><span>);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> [x_opti,U_at_x_opti] = fmincon(U_neg, b0, A, q, [], [], [], [], [], options);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(2, 128, 9);">% Sum up at current r and w for all households</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> agg_b_supply_at_w_r = agg_b_supply_at_w_r + x_opti(1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> agg_work_at_w_r = agg_work_at_w_r + x_opti(2);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> agg_leisure_at_w_r = agg_leisure_at_w_r + x_opti(3);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> agg_c1_at_w_r = agg_c1_at_w_r + z1 + W_vec(j)*x_opti(2) - x_opti(1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> agg_c2_at_w_r = agg_c2_at_w_r + z2 + x_opti(1)*(R_vec(i));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(14, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(2, 128, 9);">% Store aggregate Household statistics</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> b_opti_mat(i, j) = agg_b_supply_at_w_r;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> worKOpti_mat(i, j) = agg_work_at_w_r;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> leisure_opti_mat(i, j) = agg_leisure_at_w_r;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> c1_opti_mat(i, j) = agg_c1_at_w_r;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> c2_opti_mat(i, j) = agg_c2_at_w_r;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(14, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S7'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">end</span></span></div></div></div><h2 class = 'S2'><span>Firm's Demand for Capital and Labor</span></h2><div class = 'S1'><span>The firm's problem loops over </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">r</span><span> and </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">w</span><span>, do not need to loop over </span><span texencoding="\beta_i" style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAAoCAYAAAAPOoFWAAAC2UlEQVRYR+2WW4jNURTGf4NEGl48TcnTYChelDIPlJrMC4UXt0Ep5Ik0jVsyEvFAbiGRZshIRLmEcikiHiaGFw+SXMqlkFxK9Gnt2rPnv8/eHM2DzqlT5/z/e69vr29961u7il78VPUiFhWwf8J2hUafxoHABGC8PbwP3AW+pLj+Exr7ADOAJcB64B4wCTgMPAKWAs9LAeaCad1soAWYBzywoMpyhx1gpf2O4uWC1QPHLNgu4KcXUVm2AgeAFaXozAEbDOwGRlp2Tz0g7d9g3y1G749Yajlg04E24AjQDHzzglUDe4H5gNadK6dmg4A9wEKrlaj0P2OBU0CX1e1NOWAumGLM8oSh//2AjcBcYAFwo1zpS+b77fSLrfjK9jMwFVhl1N5JAel9qZr59ZDipMJ9lon2PjP1XQjq+FfSl/o6gHFAA3AFUF8NAL6a3JXZTmBNuQ4yDTgLXLdsXgZHVq3agU9AI3ArRWWMxv7AVqNJDiHn+B4EawKO2jO5SqjUHtgxsBrbPDki+b7AJmC1RXQ0l0wuBiZ7ugi8LpC8Ag61Rpci5fjyTd9Zau29zFpG8HsiFIHp2Vo7uRpWkv8QHHkKcAaQYiWObYBvU6OB41ZHgalVCsGGAIcsI0l+c2C8zitVs2tmVS9S4oiBOdcQFWEtlLVUKK9Un2U5hztIEY3ONW4DcyyoW69h6RS4DLgUZK1aaoqrN+usF5/EwPxheMLM9SOgKT0T2A48tFHSGaFuFHASeAwsB97FwIZbYScC502NUqTUKdrUSzcT9uSUrPnWTTghjc41lHro8jka0BpNa00D7b/sb/LB/EaNST4F6Mx7REHvdZO+36hFkk8B6b0zb42cHvcRPzPHtTZlGWsBuiuDvPKqNfrbUCC+a2iRGvZVTirBGnnlIhuqY+zG9T4EE4Vy+WHAaeBg0D+5uGpy3cRkZevCS2vO7SoXKLmuApakKGfB/0vjL3AuoCnPhchoAAAAAElFTkSuQmCC" width="13.5" height="20" /></span><span>. We get here:</span></div><ul class = 'S3'><li class = 'S4'><span style=' font-weight: bold;'>Firm Demand For Capital</span><span>: </span><span texencoding="K^*_{firm}(r,w)" style="vertical-align:-8px"><img src="data:image/png;base64,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" width="68" height="22" /></span></li><li class = 'S4'><span style=' font-weight: bold;'>Firm Demand For Labor</span><span>: </span><span texencoding="L^*_{firm}(r,w)" style="vertical-align:-8px"><img src="data:image/png;base64,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" width="66" height="22" /></span></li></ul><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Various Matrixes to store optimal choices</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>rows = length(R_vec);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>cols = length(W_vec);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>K_demand_mat = zeros(rows, cols);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>L_demand_mat = zeros(rows, cols);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% We solved before optimal choices</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>syms </span><span style="color: rgb(170, 4, 249);">w r</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Matrix Form of linear system, same as before</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>B = [log(r/(p*Aproductivity*alpha)); log(w/(p*Aproductivity*beta))];</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>A = [(alpha-1), beta;alpha, beta-1];</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Solve linear equations, and then exponentiate, same as before</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% We can use the simplify command to simplify this solution, get rid of exp and log:</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>lin_solu = simplify(exp(linsolve(A, B)));</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S8'><span style="white-space: pre;"><span>KOpti = lin_solu(1)</span></span></div><div class = 'S9'><div class="symbolicElement"><div class="embeddedOutputsVariableElement">KOpti = </div><span class="MathEquation" mathmmlencoding="&lt;math xmlns='http://www.w3.org/1998/Math/MathML' display='block' xmlns:mw='https://www.mathworks.com/MathML/extensions'&gt;
&lt;mfrac mw:template='divide' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mrow mw:template='times' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mn&gt;9&lt;/mn&gt;
&lt;mo form='infix' mw:dataCategory='static'&gt;&amp;InvisibleTimes;&lt;/mo&gt;
&lt;msqrt mw:template='sqrt' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mn&gt;15&lt;/mn&gt;
&lt;/mrow&gt;
&lt;/msqrt&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mrow mw:template='times' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mn&gt;125&lt;/mn&gt;
&lt;mo form='infix' mw:dataCategory='static'&gt;&amp;InvisibleTimes;&lt;/mo&gt;
&lt;msup mw:template='power' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mi&gt;r&lt;/mi&gt;
&lt;/mrow&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mrow mw:template='divideLinear' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mn&gt;5&lt;/mn&gt;
&lt;mo mw:dataCategory='static'&gt;/&lt;/mo&gt;
&lt;mn&gt;2&lt;/mn&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/msup&gt;
&lt;mo form='infix' mw:dataCategory='static'&gt;&amp;InvisibleTimes;&lt;/mo&gt;
&lt;msup mw:template='power' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mi&gt;w&lt;/mi&gt;
&lt;/mrow&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mrow mw:template='divideLinear' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mn&gt;5&lt;/mn&gt;
&lt;mo mw:dataCategory='static'&gt;/&lt;/mo&gt;
&lt;mn&gt;2&lt;/mn&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/msup&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/mfrac&gt;
&lt;/math&gt;
" style="vertical-align: -16px;"><img src="data:image/png;base64,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" width="78" height="38"></span></div></div></div><div class="inlineWrapper outputs"><div class = 'S10'><span style="white-space: pre;"><span>LOpti = lin_solu(2)</span></span></div><div class = 'S9'><div class="symbolicElement"><div class="embeddedOutputsVariableElement">LOpti = </div><span class="MathEquation" mathmmlencoding="&lt;math xmlns='http://www.w3.org/1998/Math/MathML' display='block' xmlns:mw='https://www.mathworks.com/MathML/extensions'&gt;
&lt;mfrac mw:template='divide' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mrow mw:template='times' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mn&gt;3&lt;/mn&gt;
&lt;mo form='infix' mw:dataCategory='static'&gt;&amp;InvisibleTimes;&lt;/mo&gt;
&lt;msqrt mw:template='sqrt' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mn&gt;15&lt;/mn&gt;
&lt;/mrow&gt;
&lt;/msqrt&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mrow mw:template='times' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mn&gt;25&lt;/mn&gt;
&lt;mo form='infix' mw:dataCategory='static'&gt;&amp;InvisibleTimes;&lt;/mo&gt;
&lt;msup mw:template='power' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mi&gt;r&lt;/mi&gt;
&lt;/mrow&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mrow mw:template='divideLinear' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mn&gt;3&lt;/mn&gt;
&lt;mo mw:dataCategory='static'&gt;/&lt;/mo&gt;
&lt;mn&gt;2&lt;/mn&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/msup&gt;
&lt;mo form='infix' mw:dataCategory='static'&gt;&amp;InvisibleTimes;&lt;/mo&gt;
&lt;msup mw:template='power' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mi&gt;w&lt;/mi&gt;
&lt;/mrow&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mrow mw:template='divideLinear' mw:dataCategory='structure'&gt;
&lt;mrow mw:dataCategory='placeholder'&gt;
&lt;mn&gt;7&lt;/mn&gt;
&lt;mo mw:dataCategory='static'&gt;/&lt;/mo&gt;
&lt;mn&gt;2&lt;/mn&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/msup&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/mrow&gt;
&lt;/mfrac&gt;
&lt;/math&gt;
" style="vertical-align: -16px;"><img src="data:image/png;base64,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" width="70.5" height="38"></span></div></div></div><div class="inlineWrapper"><div class = 'S11'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Solving for optimal choices as we change Z2</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">for </span><span>i=1:1:length(R_vec)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(14, 0, 255);">for </span><span>j=1:1:length(W_vec)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> K_demand_mat(i,j) = subs(KOpti,{r,w},{R_vec(i), W_vec(j)});</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> L_demand_mat(i,j) = subs(LOpti,{r,w},{R_vec(i), W_vec(j)});</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> </span><span style="color: rgb(14, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S7'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">end</span></span></div></div></div><h2 class = 'S2'><span>Demand and Supply for Capital</span></h2><div class = 'S1'><span>We can graph out from the firm and household problem demand and supply for capital</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre;"><span>figure();</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Household b (some borrow some save added up)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>subplot(1,2,1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>hold </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>chart = plot(R_vec, b_opti_mat);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Show smoother colors</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>clr = jet(numel(chart));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">for </span><span>m = 1:numel(chart)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> set(chart(m),</span><span style="color: rgb(170, 4, 249);">'Color'</span><span>,clr(m,:))</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>plot(R_vec,ones(size(R_vec)) * 0, </span><span style="color: rgb(170, 4, 249);">'k-.'</span><span>);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlim([min(R_vec) max(R_vec)]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylim([-4, 2]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>grid </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>title(</span><span style="color: rgb(170, 4, 249);">'Household Net B Supply'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylabel({</span><span class="warning_squiggle_rte1865859824">[</span><span style="color: rgb(170, 4, 249);">'Aggregate Household Net Saving Borrowing'</span><span>], </span><span class="warning_squiggle_rte1865859824">[</span><span style="color: rgb(170, 4, 249);">'(over 3 household \beta types)'</span><span>]})</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlabel(</span><span style="color: rgb(170, 4, 249);">'1+r'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Firm's Graph</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>subplot(1,2,2)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>hold </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>chart = plot(R_vec, -K_demand_mat);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Show smoother colors</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>clr = jet(numel(chart));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">for </span><span>m = 1:numel(chart)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> set(chart(m),</span><span style="color: rgb(170, 4, 249);">'Color'</span><span>,clr(m,:))</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>plot(R_vec,ones(size(R_vec)) * 0, </span><span style="color: rgb(170, 4, 249);">'k-.'</span><span>);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlim([min(R_vec) max(R_vec)]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylim([-4, 2]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>grid </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>title(</span><span style="color: rgb(170, 4, 249);">'-1*(Firm K Demand)'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylabel(</span><span style="color: rgb(170, 4, 249);">'Firm Demand for Capital (Decreasing Return to Scale)'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlabel(</span><span style="color: rgb(170, 4, 249);">'1+r'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>legend2plot = [1 round(numel(chart)/2) numel(chart)];</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>legendCell = cellstr(num2str(W_vec', </span><span style="color: rgb(170, 4, 249);">'wage=%3.2f'</span><span>));</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S8'><span style="white-space: pre;"><span>legend(chart(legend2plot), legendCell(legend2plot), </span><span style="color: rgb(170, 4, 249);">'Location'</span><span>,</span><span style="color: rgb(170, 4, 249);">'southeast'</span><span>);</span></span></div><div class = 'S9'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="77DB4FEA" data-testid="output_2" style="width: 1150px;"><div class="figureElement"><img class="figureImage figureContainingNode" 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" style="width: 560px;"></div></div></div></div></div><h2 class = 'S2'><span>Demand and Supply for Labor Demand and Supply</span></h2><div class = 'S1'><span>We now generate the same graphs for Labor</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre;"><span>figure();</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Household b (some borrow some save added up)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>subplot(1,2,1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>chart = plot(R_vec, worKOpti_mat);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Show smoother colors</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>clr = jet(numel(chart));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">for </span><span>m = 1:numel(chart)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> set(chart(m),</span><span style="color: rgb(170, 4, 249);">'Color'</span><span>,clr(m,:))</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlim([min(R_vec) max(R_vec)]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylim([0,6]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>grid </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>title(</span><span style="color: rgb(170, 4, 249);">'Household Work Supply'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylabel({</span><span class="warning_squiggle_rte1865859824">[</span><span style="color: rgb(170, 4, 249);">'Aggregate Household Work Hours'</span><span>], </span><span class="warning_squiggle_rte1865859824">[</span><span style="color: rgb(170, 4, 249);">'(over 3 household \beta types)'</span><span>]})</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlabel(</span><span style="color: rgb(170, 4, 249);">'1+r'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Firm's Graph</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>subplot(1,2,2)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>chart = plot(R_vec, L_demand_mat);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Show smoother colors</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>clr = jet(numel(chart));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">for </span><span>m = 1:numel(chart)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> set(chart(m),</span><span style="color: rgb(170, 4, 249);">'Color'</span><span>,clr(m,:))</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlim([min(R_vec) max(R_vec)]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylim([0,6]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>grid </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>title(</span><span style="color: rgb(170, 4, 249);">'Firm L Demand'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylabel(</span><span style="color: rgb(170, 4, 249);">'Firm Demand for Labor (Decreasing Return to Scale)'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlabel(</span><span style="color: rgb(170, 4, 249);">'1+r'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>legendCell = cellstr(num2str(W_vec', </span><span style="color: rgb(170, 4, 249);">'wage=%3.2f'</span><span>));</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S8'><span style="white-space: pre;"><span>legend(legendCell, </span><span style="color: rgb(170, 4, 249);">'Location'</span><span>,</span><span style="color: rgb(170, 4, 249);">'northeast'</span><span>);</span></span></div><div class = 'S9'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="BD9D674B" data-testid="output_3" style="width: 1150px;"><div class="figureElement"><img class="figureImage figureContainingNode" 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" style="width: 560px;"></div></div></div></div></div><h2 class = 'S2'><span>Excess Demand for Capital and Labor</span></h2><div class = 'S1'><span>We can sum up the firm and household sides to try to find the </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">r</span><span> and </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">w</span><span> where demand and supply are equalized.</span></div><ul class = 'S3'><li class = 'S4'><span style=' font-weight: bold;'>Economy-wide excess supply of Credit</span><span>: </span><span texencoding="\text{ExcesCreditSupply}(r,w) = B^*_{hh}(r,w) - K^*_{firm}(r,w)" style="vertical-align:-8px"><img src="data:image/png;base64,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" width="307.5" height="22" /></span></li><li class = 'S4'><span style=' font-weight: bold;'>Economy-wide excess supply of Credit</span><span>: </span><span texencoding="\text{ExcesLaborSupply}(r,w) = \text{WORK}^*_{hh}(r, w) - L^*_{firm}(r,w)" style="vertical-align:-8px"><img src="data:image/png;base64,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" width="339.5" height="22" /></span></li></ul><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre;"><span>figure();</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Household and Firm Excess Credit Supply, aggregated together</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>subplot(1,2,1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>hold </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>chart = plot(R_vec, b_opti_mat-K_demand_mat);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Show smoother colors</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>clr = jet(numel(chart));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">for </span><span>m = 1:numel(chart)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> set(chart(m),</span><span style="color: rgb(170, 4, 249);">'Color'</span><span>,clr(m,:))</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>plot(R_vec,ones(size(R_vec)) * 0, </span><span style="color: rgb(170, 4, 249);">'k-.'</span><span>);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlim([min(R_vec) max(R_vec)]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>grid </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>title(</span><span style="color: rgb(170, 4, 249);">'HH + Firm Excess Credit Supply'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylabel({</span><span class="warning_squiggle_rte1865859824">[</span><span style="color: rgb(170, 4, 249);">'Economy Wide Excess Supply for Credit'</span><span>], </span><span class="warning_squiggle_rte1865859824">[</span><span style="color: rgb(170, 4, 249);">'(over 3 household \beta types + Firm)'</span><span>]})</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlabel(</span><span style="color: rgb(170, 4, 249);">'1+r'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Firm's Graph</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>subplot(1,2,2);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>hold </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>chart = plot(R_vec, worKOpti_mat - L_demand_mat);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Show smoother colors</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>clr = jet(numel(chart));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">for </span><span>m = 1:numel(chart)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> set(chart(m),</span><span style="color: rgb(170, 4, 249);">'Color'</span><span>,clr(m,:))</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>plot(R_vec,ones(size(R_vec)) * 0, </span><span style="color: rgb(170, 4, 249);">'k-.'</span><span>);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlim([min(R_vec) max(R_vec)]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>grid </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>title(</span><span style="color: rgb(170, 4, 249);">'HH + Firm Excess Labor Supply'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylabel({</span><span class="warning_squiggle_rte1865859824">[</span><span style="color: rgb(170, 4, 249);">'Economy Wide Excess Supply for Labor'</span><span>], </span><span class="warning_squiggle_rte1865859824">[</span><span style="color: rgb(170, 4, 249);">'(over 3 household \beta types + Firm)'</span><span>]})</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlabel(</span><span style="color: rgb(170, 4, 249);">'1+r'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>legendCell = cellstr(num2str(W_vec', </span><span style="color: rgb(170, 4, 249);">'wage=%3.2f'</span><span>));</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S8'><span style="white-space: pre;"><span>legend(legendCell, </span><span style="color: rgb(170, 4, 249);">'Location'</span><span>,</span><span style="color: rgb(170, 4, 249);">'southeast'</span><span>);</span></span></div><div class = 'S9'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="F66F39FF" data-testid="output_4" style="width: 1150px;"><div class="figureElement"><img class="figureImage figureContainingNode" 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" style="width: 560px;"></div></div></div></div></div><h2 class = 'S2'><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(60, 60, 60);">w</span><span> and </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(60, 60, 60);">r</span><span> Equilibrium</span></h2><div class = 'S1'><span>Now let's do a final sum we want to find where both aggregate labor and capital clear.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre;"><span>figure();</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Aggregate Excess Supplies</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>excess_credit_supply = abs(b_opti_mat - K_demand_mat);</span></span></div></div><div class="inlineWrapper"><div class = 'S7'><span style="white-space: pre;"><span>excess_labor_supply = abs(worKOpti_mat - L_demand_mat);</span></span></div></div></div><div class = 'S12'><span>We need to take the absolute values of the two differences above and sum them up. The equilibrium is approximately where the sum of the two matrixes is the closest to </span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);">0</span><span>.</span></div><div class="CodeBlock"><div class="inlineWrapper"><div class = 'S5'><span style="white-space: pre;"><span>DS_KL_DIFF = excess_credit_supply + excess_labor_supply;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>[DS_KL_diff_EQUI_val, EQUI_IDX] = min(min(DS_KL_DIFF));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>[r_idx, w_idx]=find(DS_KL_DIFF==DS_KL_diff_EQUI_val);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>equi_r = R_vec(r_idx);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>equi_w = W_vec(w_idx);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>equi_price = table(equi_r, equi_w);</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S8'><span style="white-space: pre;"><span>disp(equi_price);</span></span></div><div class = 'S9'><div class="inlineElement eoOutputWrapper embeddedOutputsTextElement" uid="4F26D5FA" data-testid="output_5" data-width="1120" data-height="59" data-hashorizontaloverflow="false" style="width: 1150px; max-height: 261px;"><div class="textElement"> <strong>equi_r</strong> <strong>equi_w</strong>
<strong>______</strong> <strong>______</strong>
2.0414 0.7 </div></div></div></div><div class="inlineWrapper"><div class = 'S11'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Both should be zero (if the scale of L and K are very different this would not work well)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% We can sum up the two and look for r and w closest to zero</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>subplot(1,2,1);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>chart = plot(R_vec, DS_KL_DIFF);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Show smoother colors</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>clr = jet(numel(chart));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">for </span><span>m = 1:numel(chart)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span> set(chart(m),</span><span style="color: rgb(170, 4, 249);">'Color'</span><span>,clr(m,:))</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(14, 0, 255);">end</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlim([min(R_vec) max(R_vec)]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>grid </span><span style="color: rgb(170, 4, 249);">on</span><span>;</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>title(</span><span style="color: rgb(170, 4, 249);">'abs(Excess K) + abs(Excess L)'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylabel({</span><span class="warning_squiggle_rte1865859824">[</span><span style="color: rgb(170, 4, 249);">'Economy Wide Excess Supply for Credit'</span><span>], </span><span class="warning_squiggle_rte1865859824">[</span><span style="color: rgb(170, 4, 249);">'(over 3 household \beta types + Firm)'</span><span>]})</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>xlabel(</span><span style="color: rgb(170, 4, 249);">'1+r'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>legendCell = cellstr(num2str(W_vec', </span><span style="color: rgb(170, 4, 249);">'wage=%3.2f'</span><span>));</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>legend(legendCell, </span><span style="color: rgb(170, 4, 249);">'Location'</span><span>,</span><span style="color: rgb(170, 4, 249);">'northeast'</span><span>);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span style="color: rgb(2, 128, 9);">% Firm's Graph</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>subplot(1,2,2)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>mesh(R_vec, W_vec, DS_KL_DIFF');</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>view([30.1 3.6]);</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>title(</span><span style="color: rgb(170, 4, 249);">'abs(Excess K) + abs(Excess L)'</span><span>)</span></span></div></div><div class="inlineWrapper"><div class = 'S6'><span style="white-space: pre;"><span>ylabel(</span><span style="color: rgb(170, 4, 249);">'wage'</span><span>)</span></span></div></div><div class="inlineWrapper outputs"><div class = 'S8'><span style="white-space: pre;"><span>xlabel(</span><span style="color: rgb(170, 4, 249);">'1+r'</span><span>)</span></span></div><div class = 'S9'><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="2C02472D" data-testid="output_6" style="width: 1150px;"><div class="figureElement"><img class="figureImage figureContainingNode" 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" 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##### SOURCE BEGIN #####
%% Equilibrium Interest Rate and Wage Rate
% *back to* <https://fanwangecon.github.io *Fan*>*'s* <https://fanwangecon.github.io/Math4Econ/
% *Intro Math for Econ*>*,* <https://fanwangecon.github.io/M4Econ/ *Matlab Examples*>*,
% or* <https://fanwangecon.github.io/MEconTools/ *MEconTools*> *Repositories*
%%
% We have solved for the problem with <https://fanwangecon.github.io/Math4Econ/optimization_application/household_asset_labor_constrained.html
% constrained labor and saving/borrowing choice>, and the problem with <https://fanwangecon.github.io/Math4Econ/equilibrium/equilibrium_constrainedborrow.html
% saving/borrowing and tax>.
%% Household and Firm's Problem
% Following our previous <https://fanwangecon.github.io/Math4Econ/optimization_application/household_asset_labor_constrained.html
% discussions>, the household's borrowing constrained problem is:
%%
% * specifically: $\max_{b, \text{work}, \text{leisure}} \log(Z_1 + w\cdot \text{work}-b)
% + \psi \log(\text{leisure}) + \beta \cdot \log(Z_2 + b\cdot (1+r))$
%%
% And the constraints are:
%%
% # $b\ge \bar{b}$
% # $\text{work} \ge 0$
% # $\text{leisure}\ge 0$
% # $\text{work} + \text{leisure} \le T$, where $T$ is total time available
%%
% There are $N=3$ households, each with a different $\beta_i$.
%
% For the firm, we have <https://fanwangecon.github.io/Math4Econ/matrix_application/KL_borrowhire_firm.html
% solved previously> for the firm's optimal choices given $w$ and $r$:
%%
% * $\max_{K, L} \left( p\cdot A\cdot K^{\alpha}\cdot L^{\beta}-r\cdot K-w\cdot
% L \right)$
%% Setting Up Parameters
% Solve with three different discount rates, and different $r$ and $w$. First,
% let's set up some parameters. The firm here has decreasing return to scale,
% let's ignore the issue of profit when looking for equilibrium.
clear all
% Parameters for the Household
psi = 0.5;
z1 = 1;
z2 = 2;
b_bar_num = -1; % borrow up to 1 dollar
T = 1; % think about time as share of time in a year
% Parameters for the firm
p = 1;
alpha = 0.3;
beta = 0.5;
Aproductivity = 2.0;
% Vector of 3 betas
beta_vec = [0.85 0.90 0.95];
% Vector of interest rates
R_vec = linspace(0.60, 2.50, 30);
% Vector of wage rates, 3 wage rates for now
W_vec = linspace(0.6, 2, 15);
% What we had from before to use fmincon
A = [-1,0,0;0,0,-1;0,-1,0;0,1,1];
q = [-b_bar_num;0;0;T];
b0 = [0,0.5,0.5]; % starting value to search for optimal choice
%% Household Labor Supply and Borrow/Save with different $\beta$ and $r$ ?
% <https://fanwangecon.github.io/Math4Econ/equilibrium/equilibrium_constrainedborrow.html
% In the problem without labor supply> I showed different excess supply of credit
% for each $\beta_i$ household, we can do the same here for excess credit supply,
% but that is too much to show. I will just sum up the total across the households
% for both excress credit supply and total work hours:
%%
% * *Aggregate Household Excess Supply*: $B^*_{hh}(r,w) = \sum_{i=1}^3 b^*(r,
% w, \beta_i)$
% * *Aggregate Household Labor Supply*: $\text{WORK}^*_{hh}(r,w) = \sum_{i=1}^3
% \text{work}^*(r, w, \beta_i)$
%%
% I store results in a matrix where each row correspond to an interest rate
% level and each color a wage rate.
% Various Matrixes to store optimal choices
rows = length(R_vec);
cols = length(W_vec);
wage_dim_len = length(W_vec);
b_opti_mat = zeros(rows, cols);
worKOpti_mat = zeros(rows, cols);
leisure_opti_mat = zeros(rows, cols);
c1_opti_mat = zeros(rows, cols);
c2_opti_mat = zeros(rows, cols);
% Solving for optimal choices as we change Z2
for i=1:1:length(R_vec)
for j=1:1:length(W_vec)
% Initialize aggregate household statistics given r and w
agg_b_supply_at_w_r = 0;
agg_work_at_w_r = 0;
agg_leisure_at_w_r = 0;
agg_c1_at_w_r = 0;
agg_c2_at_w_r = 0;
for h=1:1:length(beta_vec)
% Solve
U_neg = @(x) -1*(log(z1 + W_vec(j)*x(2) - x(1)) + psi*log(x(3)) + beta_vec(h)*log(z2 + x(1)*(R_vec(i))));
options = optimoptions('FMINCON','Display','off');
[x_opti,U_at_x_opti] = fmincon(U_neg, b0, A, q, [], [], [], [], [], options);
% Sum up at current r and w for all households
agg_b_supply_at_w_r = agg_b_supply_at_w_r + x_opti(1);
agg_work_at_w_r = agg_work_at_w_r + x_opti(2);
agg_leisure_at_w_r = agg_leisure_at_w_r + x_opti(3);
agg_c1_at_w_r = agg_c1_at_w_r + z1 + W_vec(j)*x_opti(2) - x_opti(1);
agg_c2_at_w_r = agg_c2_at_w_r + z2 + x_opti(1)*(R_vec(i));
end
% Store aggregate Household statistics
b_opti_mat(i, j) = agg_b_supply_at_w_r;
worKOpti_mat(i, j) = agg_work_at_w_r;
leisure_opti_mat(i, j) = agg_leisure_at_w_r;
c1_opti_mat(i, j) = agg_c1_at_w_r;
c2_opti_mat(i, j) = agg_c2_at_w_r;
end
end
%% Firm's Demand for Capital and Labor
% The firm's problem loops over $r$ and $w$, do not need to loop over $\beta_i$.
% We get here:
%%
% * *Firm Demand For Capital*: $K^*_{firm}(r,w)$
% * *Firm Demand For Labor*: $L^*_{firm}(r,w)$
% Various Matrixes to store optimal choices
rows = length(R_vec);
cols = length(W_vec);
K_demand_mat = zeros(rows, cols);
L_demand_mat = zeros(rows, cols);
% We solved before optimal choices
syms w r
% Matrix Form of linear system, same as before
B = [log(r/(p*Aproductivity*alpha)); log(w/(p*Aproductivity*beta))];
A = [(alpha-1), beta;alpha, beta-1];
% Solve linear equations, and then exponentiate, same as before
% We can use the simplify command to simplify this solution, get rid of exp and log:
lin_solu = simplify(exp(linsolve(A, B)));
KOpti = lin_solu(1)
LOpti = lin_solu(2)
% Solving for optimal choices as we change Z2
for i=1:1:length(R_vec)
for j=1:1:length(W_vec)
K_demand_mat(i,j) = subs(KOpti,{r,w},{R_vec(i), W_vec(j)});
L_demand_mat(i,j) = subs(LOpti,{r,w},{R_vec(i), W_vec(j)});
end
end
%% Demand and Supply for Capital
% We can graph out from the firm and household problem demand and supply for
% capital
figure();
% Household b (some borrow some save added up)
subplot(1,2,1);
hold on;
chart = plot(R_vec, b_opti_mat);
% Show smoother colors
clr = jet(numel(chart));
for m = 1:numel(chart)
set(chart(m),'Color',clr(m,:))
end
plot(R_vec,ones(size(R_vec)) * 0, 'k-.');
xlim([min(R_vec) max(R_vec)]);
ylim([-4, 2]);
grid on;
title('Household Net B Supply')
ylabel({['Aggregate Household Net Saving Borrowing'], ['(over 3 household \beta types)']})
xlabel('1+r')
% Firm's Graph
subplot(1,2,2)
hold on;
chart = plot(R_vec, -K_demand_mat);
% Show smoother colors
clr = jet(numel(chart));
for m = 1:numel(chart)
set(chart(m),'Color',clr(m,:))
end
plot(R_vec,ones(size(R_vec)) * 0, 'k-.');
xlim([min(R_vec) max(R_vec)]);
ylim([-4, 2]);
grid on;
title('-1*(Firm K Demand)')
ylabel('Firm Demand for Capital (Decreasing Return to Scale)')
xlabel('1+r')
legend2plot = [1 round(numel(chart)/2) numel(chart)];
legendCell = cellstr(num2str(W_vec', 'wage=%3.2f'));
legend(chart(legend2plot), legendCell(legend2plot), 'Location','southeast');
%% Demand and Supply for Labor Demand and Supply
% We now generate the same graphs for Labor
figure();
% Household b (some borrow some save added up)
subplot(1,2,1);
chart = plot(R_vec, worKOpti_mat);
% Show smoother colors
clr = jet(numel(chart));
for m = 1:numel(chart)
set(chart(m),'Color',clr(m,:))
end
xlim([min(R_vec) max(R_vec)]);
ylim([0,6]);
grid on;
title('Household Work Supply')
ylabel({['Aggregate Household Work Hours'], ['(over 3 household \beta types)']})
xlabel('1+r')
% Firm's Graph
subplot(1,2,2)
chart = plot(R_vec, L_demand_mat);
% Show smoother colors
clr = jet(numel(chart));
for m = 1:numel(chart)
set(chart(m),'Color',clr(m,:))
end
xlim([min(R_vec) max(R_vec)]);
ylim([0,6]);
grid on;
title('Firm L Demand')
ylabel('Firm Demand for Labor (Decreasing Return to Scale)')
xlabel('1+r')
legendCell = cellstr(num2str(W_vec', 'wage=%3.2f'));
legend(legendCell, 'Location','northeast');
%% Excess Demand for Capital and Labor
% We can sum up the firm and household sides to try to find the $r$ and $w$
% where demand and supply are equalized.
%%
% * *Economy-wide excess supply of Credit*: $\text{ExcesCreditSupply}(r,w) =
% B^*_{hh}(r,w) - K^*_{firm}(r,w)$
% * *Economy-wide excess supply of Credit*: $\text{ExcesLaborSupply}(r,w) =
% \text{WORK}^*_{hh}(r, w) - L^*_{firm}(r,w)$
figure();
% Household and Firm Excess Credit Supply, aggregated together
subplot(1,2,1);
hold on;
chart = plot(R_vec, b_opti_mat-K_demand_mat);
% Show smoother colors
clr = jet(numel(chart));
for m = 1:numel(chart)
set(chart(m),'Color',clr(m,:))
end
plot(R_vec,ones(size(R_vec)) * 0, 'k-.');
xlim([min(R_vec) max(R_vec)]);
grid on;
title('HH + Firm Excess Credit Supply')
ylabel({['Economy Wide Excess Supply for Credit'], ['(over 3 household \beta types + Firm)']})
xlabel('1+r')
% Firm's Graph
subplot(1,2,2);
hold on;
chart = plot(R_vec, worKOpti_mat - L_demand_mat);
% Show smoother colors
clr = jet(numel(chart));
for m = 1:numel(chart)
set(chart(m),'Color',clr(m,:))
end
plot(R_vec,ones(size(R_vec)) * 0, 'k-.');
xlim([min(R_vec) max(R_vec)]);
grid on;
title('HH + Firm Excess Labor Supply')
ylabel({['Economy Wide Excess Supply for Labor'], ['(over 3 household \beta types + Firm)']})
xlabel('1+r')
legendCell = cellstr(num2str(W_vec', 'wage=%3.2f'));
legend(legendCell, 'Location','southeast');
%% $w$ and $r$ Equilibrium
% Now let's do a final sum we want to find where both aggregate labor and capital
% clear.
figure();
% Aggregate Excess Supplies
excess_credit_supply = abs(b_opti_mat - K_demand_mat);
excess_labor_supply = abs(worKOpti_mat - L_demand_mat);
%%
% We need to take the absolute values of the two differences above and sum them
% up. The equilibrium is approximately where the sum of the two matrixes is the
% closest to $0$.
DS_KL_DIFF = excess_credit_supply + excess_labor_supply;
[DS_KL_diff_EQUI_val, EQUI_IDX] = min(min(DS_KL_DIFF));
[r_idx, w_idx]=find(DS_KL_DIFF==DS_KL_diff_EQUI_val);
equi_r = R_vec(r_idx);
equi_w = W_vec(w_idx);
equi_price = table(equi_r, equi_w);
disp(equi_price);
% Both should be zero (if the scale of L and K are very different this would not work well)
% We can sum up the two and look for r and w closest to zero
subplot(1,2,1);
chart = plot(R_vec, DS_KL_DIFF);
% Show smoother colors
clr = jet(numel(chart));
for m = 1:numel(chart)
set(chart(m),'Color',clr(m,:))
end
xlim([min(R_vec) max(R_vec)]);
grid on;
title('abs(Excess K) + abs(Excess L)')
ylabel({['Economy Wide Excess Supply for Credit'], ['(over 3 household \beta types + Firm)']})
xlabel('1+r')
legendCell = cellstr(num2str(W_vec', 'wage=%3.2f'));
legend(legendCell, 'Location','northeast');
% Firm's Graph
subplot(1,2,2)
mesh(R_vec, W_vec, DS_KL_DIFF');
view([30.1 3.6]);
title('abs(Excess K) + abs(Excess L)')
ylabel('wage')
xlabel('1+r')
##### SOURCE END #####
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