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WEALTH, DISPOSABLE INCOME AND CONSUMPTION - Economics

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2.3 percentage points) between the mortgage rate and the prime corporate<br />

paper rate. This nominal interest rate is converted to a real rate by subtracting<br />

expected inflation. Consistent with the measurement of real income<br />

and the other components of wealth, inflation itself is measured using the<br />

GDP deflator. Expected inflation is proxied by a two-period moving average<br />

of past inflation. This proxy is motivated by the fact that, over the sample<br />

in question, GDP inflation is well-described by a second-order<br />

autoregressive, AR(2), process with approximately equal coefficients that<br />

sum to unity. 4<br />

Figures 1 and 2 plot the log of net income and the real interest rate<br />

over the period 1956:01 to 1993:03. Figure 1 suggests that shocks to net<br />

income permanently alter its trend so it would not be sensible to base<br />

expectations of future net income on a deterministic time trend. In contrast,<br />

the real interest rate depicted in Figure 2 appears to be stationary, which<br />

suggests that the real interest rate can be reasonably expected to return to<br />

its mean (on average) in the future.<br />

4. Estimating an AR(2) model for GDP inflation ( π)<br />

over the sample 1963:01 to 1993:03<br />

yields<br />

πt =<br />

0.52πt – 1 + 0.43πt – 2<br />

The sum of the AR coefficients is 0.95, which is insignificantly different from unity on the<br />

basis of an augmented Dickey-Fuller (ADF) test. Adding further lags of inflation to the AR<br />

model fails to add significant explanatory power for current inflation.<br />

9

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