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Erschienen in: Empirical Economics 1/2019

27.12.2017

The interdependence between the saving rate and technology across regimes: evidence from South Africa

verfasst von: Kevin S. Nell, Maria M. De Mello

Erschienen in: Empirical Economics | Ausgabe 1/2019

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Abstract

This paper hypothesises that the saving rate and technological progress are interdependently determined by a common exogenous source, so that an exogenous shock to the saving rate determines long-run growth transitions. In an open-economy setting, the saving rate measures the quality of investment-led policies. The evidence shows that the down-break across South Africa’s ‘faster-growing’ regime (1952–1976) and ‘slower-growing’ regime (1977–2003) was caused by a negative shock to the saving rate that simultaneously led to a slowdown in the growth rate of technology via a structural decrease in the learning-by-doing parameter. The down-break results suggest that the saving rate is potentially an important policy variable to engineer a sustainable up-break. To assess this prediction with real data, the analysis looks at what happened in the post-2003 period (2004–2012). The results show that the up-break in the fixed investment rate was not matched by the saving rate, which implies that capital investment did not generate a faster rate of technological progress. The stylised facts suggest that a sustained increase in the total investment rate, which not only includes infrastructure investment, but also machinery and equipment investment and complementary foreign direct investment, may be an effective investment-led strategy to raise the economy’s growth rate on a sustainable basis.

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Fußnoten
1
Similarly, studies that use nonparametric production-frontier techniques also provide conflicting evidence on the importance of physical capital accumulation. For example, Kumar and Russell (2002) and Henderson and Russell (2005) find that labour productivity growth is primarily driven by physical and human capital accumulation. In contrast, Badunenko and Romero-Ávila (2013) emphasise the importance of financial development.
 
2
Pritchett’s (2000) influential study shows that, in contrast to industrialised countries, most developing economies exhibit shifts in growth rates that lead to distinct patterns and that these patterns remain unexplained in cross-country growth regressions. Motivated by Pritchett and earlier work by Easterly et al. (1993), several recent studies, such as Hausmann et al. (2005), Jerzmanowski (2006), Jones and Olken (2008), Rodrik (2000), and Kerekes (2012) have attempted to identify the key determinants of growth transitions.
 
3
Odhiambo (2007) finds no causal effect of the saving rate on per capita income over the period 1950–2005. Romm (2005), in contrast, shows that there is bidirectional causality between the private saving rate, private investment rate and per capita income over the period 1946–1992. Both studies, however, do not control for regime changes in the South African economy.
 
4
For a critical evaluation of the ASGI-SA programme, see Frankel et al. (2008).
 
5
The South African Reserve Bank’s real GDP per capita series dates back to 1946. However, due to excessive growth volatility in the immediate aftermath of World War II, we exclude the 3-year period 1946–1948 from the sample and only consider the period 1949–2012. In addition, the use of lagged and differenced variables in the econometric section further reduces the effective sample period to 1952–2012.
 
6
The Bai and Perron test is computed with EViews 9. We specify a trimming parameter of 15%, a breakpoint detection significance level of 5%, and allow the time trend in Eq. (1) to vary across regimes but not the constant.
 
7
For more on the Soweto uprising, see Ndlovu (2006).
 
8
The main reason why the Bai and Perron test in this study detects a break in 1976 and not in 1981 could be related to the way in which we specify our growth equation. The log-linear trend model in Eq. (1) may be less sensitive to outlying growth associated with the high dollar gold price when compared to Jones and Olken’s (2008) specification, in which per capita income growth is simply regressed on an intercept term.
 
9
FDI liabilities are defined as investment by foreigners in undertakings in South Africa in which they have at least 10% of the voting rights. FDI assets are investment by South African residents in undertakings abroad in which they have at least 10% of the voting rights (data source and definitions: South African Reserve Bank).
 
10
In his 1985 speech, the then president P.W. Botha alienated his Western allies by refusing to consider immediate and major changes to the country’s apartheid system.
 
11
FDI is included in gross domestic investment when it is used to finance fixed capital formation in the recipient economy. On the other hand, FDI may also be used to cover a deficit in the recipient company or to pay off a loan.
 
12
Some parts of the modelling framework in the next section draw on Nell (2015).
 
13
The elasticity of output with respect to capital is obtained by substituting Eq. (3) into Eq. (2): \(Y_t =K_t^{\alpha +\phi (1-\alpha )} B_t^{1-\alpha } L_t^{1-\alpha } \).
 
14
From the available sources, such as the South African Reserve Bank and Penn World Tables 8.1 (PWT 8.1), data on South Africa’s workforce are only available from 1960 and not the full sample period (1952–2012) covered in this paper. Output is therefore expressed in per capita rather than per worker terms.
 
15
Note from Eq. (4\(^\prime )\), holding everything else constant, that an increasing saving/investment rate (s) implies an accelerating growth rate of the capital stock. However, unit root tests that allow for structural breaks suggest that the growth rates of the capital stock and output (as well as their rates in per capita terms) are stationary during South Africa’s FGR. From these results it can be inferred that although the rising s generates faster rates of growth of capital and output than otherwise would have been the case with a constant s, these rates do not accelerate during the FGR because they are offset by a falling output-capital ratio (\(Y_{t}\)/\(K_{t})\) in equation (4\(^\prime )\). A falling output-capital ratio, in turn, implies diminishing returns to capital, which is consistent with our assumption that the learning-by-doing parameter (\(\phi \)) is less than one in the FGR. In contrast, a learning-by-doing parameter equal to one would give constant returns to capital. The proposition that 0 \({<}\phi {<}\) 1 in the FGR will be tested formally in Sect. 5.
 
16
For simplicity, it is assumed that the post-1976 down-break in the exogenous rate of technological progress occurred instantaneously. Theoretically, however, a negative exogenous shock to technological progress will generate dynamics via a falling output-capital ratio in Eq. (4\(^\prime )\), which then transmits itself into slower output per capita growth via the production function in Eq. (2). This implies that the observed growth rate of − 0.40% will capture not only the dynamics of a decelerating saving/investment rate for a given output-capital ratio in Eq. (4\(^\prime )\), but also those related to a slowdown in the exogenous rate of technological progress. For ease of exposition, but without loss of generality, it is assumed that the observed growth rate only reflects the transition dynamics related to a falling saving/investment rate.
 
17
In fact, following Aghion and Howitt’s (2007) proposition that the demand-creating effect of investment spending stimulates research and development (R&D) activities, residential investment may also be regarded as productive under certain conditions. In their model, investment-induced demand raises the returns to innovation. Harris and Arku (2007), on the other hand, emphasise the growth and development impact of residential investment via human capital accumulation.
 
18
The unit root tests include those developed by Dickey and Fuller (1979), Phillips and Perron (1988), Kwiatkowski et al. (1992), and Ng and Perron (2001). We also employed unit root tests that allow for an endogenous structural break in the spirit of Vogelsang and Perron (1998). All the unit root test results were calculated with the software programme, EViews 9, and are available on request.
 
19
The cointegration results are computed with Microfit 4.0 (Pesaran and Pesaran 1997).
 
20
Because the VECM controls for endogeneity bias, valid inferences on the long-run saving rate coefficient can still be drawn, even though there is bidirectional causality. Long-run feedback effects from per capita income to the saving rate in South Africa’s SGR may capture the desire by households to maintain their consumption levels in the face of falling incomes. Further note that the ecm coefficient of 1.13 in the SGR is not significantly different from unity based on a Wald test [\(\chi ^{2}\)(1) = 0.12]. This shows that the saving rate adjusts towards its long-run equilibrium value in the same year.
 
21
The breakpoint Chow tests are computed with PcGive version 14 (see Doornik and Hendry 2013).
 
22
Note that the per capita income growth rate of the error-correction model is calculated as \(\Delta \)ln(\(y_{p/c})_{t}\). Thus, the averages derived from the growth rate defined in this way will differ somewhat from those in Table 1, which are derived from the estimates of the log-linear trend model in Eq. (1).
 
23
The capital share of 0.40 is the average over the period 1952–2003. Over South Africa’s FGR and SGR the corresponding values are 0.40 and 0.41, respectively.
 
24
As an additional robustness check, we also examine what happens when population growth is included in the VECM specifications. The population growth rate variable turns out to be an insignificant determinant in all the specifications, which supports the zero restriction in Eqs. (8, 8\(^\prime )\). The zero restriction, of course, does not literally mean that population growth is zero. Rather, the insignificance of population growth suggests that its scale effects in the learning-by-doing model may operate in conjunction with other growth determinants that appear in the long-run growth rate component of \(g_{\mathrm{FGR}}^B \) in Eq. (8\(^\prime )\).
 
25
Recall from the discussion in Sect. 3.4 that one can only observe the rate of technological progress directly when the saving/investment rate is constant.
 
26
Of course, to fully utilise the productive potential of machinery and equipment investment would also require supportive investment in infrastructure (Fedderke and Bogetić 2009). This is illustrated in Fig. 7. The machinery and equipment investment rate already starts to increase since the mid-1990s, but the strong growth surge over the period 2004–2007 is only visible when the total fixed investment rate increases as well, suggesting that investment in structures is also important.
 
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Metadaten
Titel
The interdependence between the saving rate and technology across regimes: evidence from South Africa
verfasst von
Kevin S. Nell
Maria M. De Mello
Publikationsdatum
27.12.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Empirical Economics / Ausgabe 1/2019
Print ISSN: 0377-7332
Elektronische ISSN: 1435-8921
DOI
https://doi.org/10.1007/s00181-017-1354-y

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