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What is a Business Cycle? Business Cycle Measurement Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 1 Regularities/ Irregularities Fluctuations around the trend component in real GDP largest negative deviations (recessions) troughs and largest positive deviations (booms/expansions) peaks from trend component. Î turning points Amplitude and frequency Persistency of BCs Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 2 Figure 3-1 Stylized Business Cycles Regularities: comovement of real GDP with other macroeconomic variables Irregularities: turning points; very difficult to predict Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 3 Figure 3-2 Percentage Deviations from Trend in Real GDP from 1947 to 1999 Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. What do you see? BCs are quite persistent: BCs are choppy BCs are different in amplitude (size of peaks and troughs vary substantially) BC frequencies are irregular (the length of time between peaks and troughs vary substantially) Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 5 Slide 4 makes short term forecasting rather easy Make long term forecasting difficult Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 6 1 Comovements Figure 3-3 Time Series Plots of x and y Some macroeconomic variables fluctuate together Regularities Stylized facts Slide 7 Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Some useful concepts Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Covariance and correlation Covariance Cov[ x, y ] = σ xy = ∑ [( x − µ )( y − µ i i x i y )] n −1 correlation co r[ x, y ] = ρ = σ σ Sign of covariance will indicate the direction of covariation of X and Y However its magnitude depends on the scales of measurement Correlation coefficient is very useful to account for this magnitude.. xy xy x σ y Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 9 Figure 3-4 Correlations Between Variables y and x Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 10 Some concepts Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 8 Slide 11 Some important macroeconomic terms: A variable is said to be procyclical if its deviations from its trends component are positively correlated with the real GDP countercyclical, acyclical Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 12 2 Procyclical: Imports and GDP Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Procyclical: Scatter Plot of Imports and GDP Slide 13 Leading vs. Lagging Variables Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 14 Figure 3-7 Leading and Lagging Variables If a variable helps to predict the future real GDP Î leading variable If the real GDP helps to predict the future value of a macro variable Î lagging variable Coincident variable Leading indicators: weighted average of macroeconomic variables that are useful to predict future real GDP Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 15 Percentage Deviations from Trend in Real GDP and the Index of Leading Economic Indicators for the Period 1959-1999 Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. cyclical variability Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 17 Slide 16 Standard deviation of the percentage deviation from trend as a measure of cyclical variability Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 18 3 Components of Real GDP I: Percentage Deviations from Trend in Real Consumption and Real GDP Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 19 Nominal Variables: Scatter Plot for the Percentage Deviations from Trend in the Price Level and Real GDP Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 21 Nominal Variables: Percentage Deviations from Trend in the Money Supply (black line) and Real GDP (colored line) for the Period 1947-1999 Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 23 Components of Real GDP II: Percentage Deviations from Trend in Real Investment (black line) and Real GDP (colored line) Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 20 Price Level and GDP Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 22 Labor Market Variables: Percentage Deviations from Trend in Employment (black line) and Real GDP Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 24 4 Summary of Comovements Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Summary of Comovements II Slide 25 Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 26 Sum up Measurement, and generating stylized facts on business cycle is important Keywords: Procyclical, countercyclical, acyclical, correlation, comovements Copyright © 2002 Pearson Education, Inc and Dr Yunus Aksoy. Slide 27 5