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output, lagged output output, lagged money growth output, lagged inflation output, lagged interest rate 1 1 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 -1 -1 0 8 16 24 32 40 0 money growth, lagged output 8 16 24 32 40 -1 0 money growth, lagged money growth 8 16 24 32 40 0 money growth, lagged inflation 1 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 0 8 16 24 32 40 -1 0 inflation, lagged output 8 16 24 32 40 inflation, lagged money growth 8 16 24 32 40 0 inflation, lagged inflation 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 8 16 24 32 40 -1 0 interest rate, lagged output 8 16 24 32 40 interest rate, lagged money growth 8 16 24 32 40 0 interest rate, lagged inflation 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 8 16 24 32 40 -1 0 8 16 24 32 40 8 16 24 32 40 8 16 24 32 40 interest rate, lagged interest rate 1 0 40 -1 0 1 -1 32 inflation, lagged interest rate 1 0 24 -1 0 1 -1 16 money growth, lagged interest rate 1 -1 8 -1 0 8 16 24 32 40 0 8 16 24 Figure 1. Vector Autocorrelation Functions, Pre-1979, Sticky-Price Model (dashed line) and Data (solid line) 32 40 output, lagged output output, lagged money growth output, lagged inflation output, lagged interest rate 1 1 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 -1 -1 0 8 16 24 32 40 0 money growth, lagged output 8 16 24 32 40 -1 0 money growth, lagged money growth 8 16 24 32 40 0 money growth, lagged inflation 1 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 0 8 16 24 32 40 -1 0 inflation, lagged output 8 16 24 32 40 inflation, lagged money growth 8 16 24 32 40 0 inflation, lagged inflation 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 8 16 24 32 40 -1 0 interest rate, lagged output 8 16 24 32 40 interest rate, lagged money growth 8 16 24 32 40 0 interest rate, lagged inflation 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 8 16 24 32 40 -1 0 8 16 24 32 40 8 16 24 32 40 8 16 24 32 40 interest rate, lagged interest rate 1 0 40 -1 0 1 -1 32 inflation, lagged interest rate 1 0 24 -1 0 1 -1 16 money growth, lagged interest rate 1 -1 8 -1 0 8 16 24 32 40 0 8 16 24 Figure 2. Vector Autocorrelation Functions, Post-1979, Sticky-Price Model (dashed line) and Data (solid line) 32 40 output, lagged output output, lagged money growth output, lagged inflation output, lagged interest rate 1 1 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 -1 -1 0 8 16 24 32 40 0 money growth, lagged output 8 16 24 32 40 -1 0 money growth, lagged money growth 8 16 24 32 40 0 money growth, lagged inflation 1 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 0 8 16 24 32 40 -1 0 inflation, lagged output 8 16 24 32 40 inflation, lagged money growth 8 16 24 32 40 0 inflation, lagged inflation 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 8 16 24 32 40 -1 0 interest rate, lagged output 8 16 24 32 40 interest rate, lagged money growth 8 16 24 32 40 0 interest rate, lagged inflation 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 8 16 24 32 40 -1 0 8 16 24 32 40 8 16 24 32 40 8 16 24 32 40 interest rate, lagged interest rate 1 0 40 -1 0 1 -1 32 inflation, lagged interest rate 1 0 24 -1 0 1 -1 16 money growth, lagged interest rate 1 -1 8 -1 0 8 16 24 32 40 0 8 16 24 Figure 3. Vector Autocorrelation Functions, Pre-1979, Flexible-Price Model (dashed line) and Data (solid line) 32 40 output, lagged output output, lagged money growth output, lagged inflation output, lagged interest rate 1 1 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 -1 -1 0 8 16 24 32 40 0 money growth, lagged output 8 16 24 32 40 -1 0 money growth, lagged money growth 8 16 24 32 40 0 money growth, lagged inflation 1 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 0 8 16 24 32 40 -1 0 inflation, lagged output 8 16 24 32 40 inflation, lagged money growth 8 16 24 32 40 0 inflation, lagged inflation 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 8 16 24 32 40 -1 0 interest rate, lagged output 8 16 24 32 40 interest rate, lagged money growth 8 16 24 32 40 0 interest rate, lagged inflation 1 1 0.5 0.5 0.5 0.5 0 0 0 0 -0.5 -0.5 -0.5 -0.5 -1 8 16 24 32 40 -1 0 8 16 24 32 40 8 16 24 32 40 8 16 24 32 40 interest rate, lagged interest rate 1 0 40 -1 0 1 -1 32 inflation, lagged interest rate 1 0 24 -1 0 1 -1 16 money growth, lagged interest rate 1 -1 8 -1 0 8 16 24 32 40 0 8 16 24 Figure 4. Vector Autocorrelation Functions, Post-1979, Flexible-Price Model (dashed line) and Data (solid line) 32 40
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