This paper assesses the effect of expected inflation and inflation risk on interest rates within the Fisher hypothesis framework. Autoregressive Conditional Heteroscedastic models are used to estimate the conditional variability of inflation as a proxy for risk. With the UK quarterly data from 1958:4 to 1994:4, we found that both the expected inflation and the conditional variability of inflation positively affect the UK three-month Treasury-bill rate.
I INTRODUCTIONVarious studies have examined how the inflation risk affects the inflation rate (Cukierman and Wachtel, 1979;Ball and Cecchetti, 1990;Holland, 1993bHolland, , 1995 employment (Hafer, 1986;Holland, 1986) and output (Froyen and Waud, 1987;Holland, 1988) as measures of economic activity. This paper looks at the relationship between inflation risk and interest rates within the Fisher hypothesis framework. We find that inflation risk as well as the expected inflation positively affect the interest rates for the UK in the period from 1958:4 to 1994:4. Most scholars recognize the relationship between inflation risk and interest rates; however, few studies provide concrete applications and empirical evidence of this association. This paper provides empirical evidence that there is a positive relationship between those two variables for the UK within the Fisher hypothesis framework.This study focuses on the UK for several reasons. First, the UK has had a sizable variation in its inflation rate, which makes it easier to detect a possible relationship between inflation uncertainty and interest rate. Second, the earlier literature on inflation risk, notably Engle (1982), provides us with a model with which to compare our findings with the earlier studies on the UK. The positive relationship between inflation risk and interest rates is particularly important for periods when governments attempt to decrease inflation. If deflationary policies are perceived as non-credible, the expected inflation will change less than the realized inflation. This will increase the forecast error, and hence the inflation risk. If the inflation risk affects the interest rates, this might be an alternative transmission mechanism that could explain how contractionary monetary policies decrease the output level, and this is our third reason.
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