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Hong Kong Inflation Dynamics: Trend and Cycle Relationships with the USA and China

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State-Space Models

Part of the book series: Statistics and Econometrics for Finance ((SEFF,volume 1))

Abstract

This chapter analyzes the trend and cycle movements of Hong Kong inflation. The empirical model is an unobserved component model that is consistent with the New Keynesian Phillips curve and is estimated using Hong Kong, US, and China inflation and output data. The model decomposes Hong Kong inflation into a stochastic trend and a stationary cycle component that is driven by domestic as well as US and China output gaps. The output gaps are treated as latent variables, thus a by-product of estimating the empirical model are measures of the output gaps that are consistent with the New Keynesian Phillips curve for Hong Kong. Empirical results suggest minor evidence that Hong Kong and US inflation rates are related in the long-run, as US trend inflation movements have minimal effects on Hong Kong trend inflation dynamics. Over the short-run horizon, Hong Kong price movements are heavily driven by both the domestic output gap as well as external forces. US and China output gaps have opposing effects on the cyclical movements of Hong Kong inflation, with the coefficients on the China output gap measured at twice as large as those of the USA.

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Notes

  1. 1.

    To illustrate this point, notice that the widely estimated hybrid NKPC:

    $$\displaystyle{\pi _{t} = (1-\alpha )E_{t}(\pi _{t+1}) +\alpha \pi _{t-1} + kx_{t} +\eta _{t},\ \ 0 \leq \alpha < 1,}$$

    can be rewritten as (5.1) with \(\eta _{t} =\alpha (\pi _{t-1} - E_{t}(\pi _{t+1}))\). It then follows that if α > 0, firms are backward-looking and η t will be serially correlated. The above model is a hybrid NKPC that is derived under the assumption that inflation is stationary. However, as shown in (7), additional leads of inflation beyond t + 1 may enter the NKPC if inflation is assumed to have a unit root. Thus, in the presence of stochastic trend inflation, serial correlation in η t may not necessarily stem from backward-looking price-setting dynamics. Rather, serial correlation in η t may serve as a spurious proxy for additional forward-looking elements.

  2. 2.

    As an alternative to a UC model for real output, a UC model for the unemployment rate can be estimated with the inflation equations instead. The unemployment rate can be specified as a sum of the natural rate, which typically is assumed to follow a driftless random walk, and an unemployment gap, which may follow an autoregressive process. In such a case, the unemployment gap will replace the output gap as the driving variable for inflation in the NKPC specification. For examples of UC models that use the unemployment gap as a measure of economic slack, see (1) and (24).

  3. 3.

    This is similar to (23)’s UC model for US inflation except here, z t is specified as a white-noise process instead of an AR(1) process. However, the empirical findings in (23) suggest that z t follows a white noise process for the post mid-1980s which corresponds to the sample period studied in this chapter.

  4. 4.

    The HP gap is a commonly used measure of the output gap in Phillip curve models for Hong Kong. This is despite the well-known shortcomings of the HP-filter which includes difficulty in identifying the appropriate smoothing parameter as well as high end-sample biases (see (18)). For comparisons with the literature, the one-country model is also estimated with the HP-filtered output gap. In doing so, the one-country model is reduced to (5.3)–(5.5) and (5.8), with the HP gap acting as an observed measure of the output gap. For underlying CPI inflation, the reduced model gives an estimated slope of 0.082 which is smaller in magnitude than the reported slope estimate of 0.379 in Table 5.1. This result is as expected since the HP gap undergoes larger swings relative to the unobserved output gap that is extracted from the one-country model.

  5. 5.

    Long-run price movements in Hong Kong should effectively be tied to the USA through the Linked Exchange Rate System. Nevertheless, there may be many causes for persistent deviations of Hong Kong price dynamics from that of the USA. For example, the relatively high inflation in Hong Kong during the 1990s may be due to favorable export price shocks which hike up the prices of tradables that ultimately impact the prices of non-tradables. The Balassa–Samuelson effect in which the high productivity growth gap between the tradable sector and the non-tradable sector leads to a real exchange rate appreciation that increases prices of non-tradables could also be responsible for Hong Kong’s higher long-term inflation in the 1990s (see (20) and references therein).

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Acknowledgments

The author is grateful for the generous hospitality and financial support provided by the Hong Kong Institute for Monetary Research during the completion of this chapter. Special thanks go to the seminar participants at the Hong Kong Institute for Monetary Research, Michael Cheng at the Hong Kong Monetary Authority for helpful discussions and for providing Hong Kong inflation data, and an anonymous referee for valuable comments and suggestions.

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Correspondence to Pym Manopimoke .

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Manopimoke, P. (2013). Hong Kong Inflation Dynamics: Trend and Cycle Relationships with the USA and China. In: Zeng, Y., Wu, S. (eds) State-Space Models. Statistics and Econometrics for Finance, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7789-1_5

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