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Basic Question 2 of 9

Some of the following assumptions of the linear regression model are not satisfied when we work with time series. They are:

I. Linearity of the relationship between dependent and independent variables.
II. Independence of the errors (no serial correlation).
III. Homoscedasticity (constant variance) of the errors.
IV. Normality of the error distribution.

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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.