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Basic Question 4 of 11

When forecasts are obtained by fitting a model and computing minimum mean-square-error forecasts from the model, the differences between the observed and the fitted values are:

I. residuals from the fitted model.
II. in-sample forecast errors.
III. out-of sample forecast errors.

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Learning Outcome Statements

describe the structure of an autoregressive (AR) model of order p and calculate one- and two-period-ahead forecasts given the estimated coefficients;

explain how autocorrelations of the residuals can be used to test whether the autoregressive model fits the time series;

explain mean reversion and calculate a mean-reverting level;

contrast in-sample and out-of-sample forecasts and compare the forecasting accuracy of different time-series models based on the root mean squared error criterion;

CFA® 2025 Level II Curriculum, Volume 1, Module 5.