Monetary Economics: An Integrated Approach to Credit, Money, Income, Production and Wealth

Table of contents Chapter 4 Notes on EViews version Notation Copyright Comments Guestbook

Model PC - Model PCEX - Model PCEX1 - Model PCEX2 - Model PCNEO

Model PC incorporates government bills and asset demand functions. The chart shows the impact of a rise in the interest rate on disposable income and consumption.

Download: gl04pc (Eviews 5 to 8) or gl04pc_v4 (Eviews 4.1)

model pc_mod ' Add equations to model PC ' Determination of output - eq. 4.1 pc_mod.append y = cons + g ' Disposable income - eq. 4.2 pc_mod.append yd = y - t + r(-1)*b_h(-1) ' Tax payments - eq. 4.3 pc_mod.append t = theta*(y + r(-1)*b_h(-1)) ' Wealth accumulation - eq. 4.4 pc_mod.append v = v(-1) + (yd - cons) ' Consumption function - eq. 4.5 pc_mod.append cons = alpha1*yd + alpha2*v(-1) ' Cash money - eq. 4.6 pc_mod.append h_h = v - b_h ' Demand for government bills - eq. 4.7 pc_mod.append b_h = v*(lambda0 + lambda1*r - lambda2*(yd/v)) ' Supply of government bills - eq. 4.8 pc_mod.append b_s = b_s(-1) + (g + r(-1)*b_s(-1)) - (t + r(-1)*b_cb(-1)) ' Supply of cash - eq. 4.9 pc_mod.append h_s = h_s(-1) + b_cb - b_cb(-1) ' Government bills held by the central bank - eq. 4.10 pc_mod.append b_cb = b_s - b_h ' Interest rate as policy instrument - eq. 4.11 pc_mod.append r = r_bar

## Model PCEXModel PCEX introduces expectations on households disposable income, where expectations are altered by random shocks. Download: gl04pcex (Eviews 5 to 8) or gl04pcex_v4 (Eviews 4.1) Note that the macro generates a new series for the random shock each time it is executed: you will get different charts every time, but the model will keep its properties. Check that the missing equation, |

Model PCEX1 modifies the previous model, by using adaptive expectations *Yd ^{e} = Yd*.

Download: gl04pcex1 (Eviews 5 o 8) or gl04pcex1_v4 (Eviews 4.1)

This model is used in par.4.6.2 to analyze the effects of a change in the propensity to consume out of disposable income.

Model PCEX2 modifies model PCEX1, by assuming that the propensity to consume out of disposable income depends
inversely on the interest rate *α _{1} = α_{10} - ι · r*.

Download: gl04pcex2 (Eviews 5 to 8) or gl04pcex2_v4 (Eviews 4.1)

This model is used in par.4.6.3 to analyze the effects of a change in the the interest rate.

Model PCNEO assumes a "Neoclassical" closure, by exogenizing demand for securities from the Central bank, and making the interest rate endogenous.

Download: gl04pcneo (Eviews 5 to 8) or gl04pcneo_v4 (Eviews 4.1)

Note how equation 4.7 has been changed to solve for the rate of interest on bills.

model pcneo_mod ' Add equations to model PCNEO ' Determination of output - eq. 4.1 pcneo_mod.append y = cons + g ' Disposable income - eq. 4.2 pcneo_mod.append yd = y - t + r(-1)*b_h(-1) ' Tax payments - eq. 4.3 pcneo_mod.append t = theta*(y + r(-1)*b_h(-1)) ' Wealth accumulation - eq. 4.4 pcneo_mod.append v = v(-1) + (yd - cons) ' Consumption function - eq. 4.5 pcneo_mod.append cons = alpha1*yd + alpha2*v(-1) ' Cash money - eq. 4.6 pcneo_mod.append h_h = v - b_h ' Equilibrium interest rate, from the demand for government bills - eq. 4.7 pcneo_mod.append r = (b_h/v - (lambda0 - lambda2*(yd/v)))/lambda1 ' Supply of government bills - eq. 4.8 pcneo_mod.append b_s = b_s(-1) + (g + r(-1)*b_s(-1)) - (t + r(-1)*b_cb(-1)) ' Government bills held by households - eq. A4.3.3 pcneo_mod.append b_h = b_s - b_cb