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Foundations for Forecasting. Basic Concepts. Basic Part of a Forecast. Level Growth Uncertainty. Additive Model. Multiplicative Model. Forecasting Example: Gross Domestic Product. Value of final goods and services produced in an economy during a specified period of time
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Foundations for Forecasting Basic Concepts
Basic Part of a Forecast • Level • Growth • Uncertainty
Forecasting Example: Gross Domestic Product • Value of final goods and services produced in an economy during a specified period of time • Measures the size of the economy and facilitates comparisons • Components • Consumption • Investment • Government purchases • Net exports (exports – imports)
Real Gross Domestic Product (GDPC1) • Possibilities at Federal Reserve Economic Data web site (FRED) • Nominal versus real • Seasonally adjusted versus not seasonally adjusted • Frequency of data • Data Manipulation • Linear level or no manipulation • Change • Rate of Change
Forecasts for GDP • Last observation • Second quarter of 2013 • $15,681.0 billion • Estimate of billion dollar increase/decrease • $100 billion • Forecast: $15,681.0 + $100 = $15,781.0 • Estimate of percentage change • 0.6% • Forecast: $15,681.0 x (1 + 0.006) = $15,775.1
Vertical Axis • Linear level in original units • Change from previous period • Change from a year ago • Percentage change • Percentage change from a year ago • Compounded annual percentage change • Continuously compounded percentage change • Continuously compounded annual percentage change • Index
Change Current observation minus previous observation
Change from Previous Year Current observation minus observation from a year ago
Percentage Change Change from previous period divided by previous observation
Percentage Change from Year Ago Change from year ago divided by observation from a year ago
Compounded Annual Change Ratio of consecutive observations raised to the power of the number of observations per year.
Continuously Compounded Rate of Change Natural logarithm of the ratio of consecutive observations
Continuously Compounded Annual Rate of Change Natural logarithm of the ratio of consecutive observationsmultiplied by the number of observations per year
Alternative Forms Multiplicative: Additive: