Russia: Post-war Potential Growth

Baseline approach: Production function accounting

We use production function-based growth accounting for long-term baseline growth projections. It is implemented in 4 steps:

  1. Gather data on 5 inputs - employment level, average hours worked, labour quality/human capital, fixed capital and aggregate productivity/capital efficiency - and the level of output.

  2. Filter the series to remove cyclical component - so that changes in capacity utilization during booms and recessions do not affect our estimates.

  3. Forecast the trajectories of inputs by extrapolating trends and cross-country benchmarks.

  4. Estimate a production function based on the historical proportions of inputs to outputs and apply estimated coefficients to the extrapolated trajectories of inputs.

Figure 1: Russian potential growth, % YoY

Table 1: Input contributions and potential growth
Year Employment, pp Human capital, pp Avg hours, pp Productivity, pp Capital, pp Potential growth, %
2013 0.11 0.17 -0.05 0.8 0.82 1.85
2014 0.08 0.17 -0.05 0.55 0.8 1.55
2015 0.05 0.17 -0.05 0.35 0.77 1.28
2016 0.02 0.18 -0.06 0.2 0.73 1.07
2017 -0.01 0.18 -0.06 0.08 0.71 0.89
2018 -0.05 0.18 -0.06 -0.04 0.69 0.72
2019 -0.08 0.18 -0.07 -0.17 0.68 0.54
2020 -0.11 0.18 -0.07 -0.3 0.67 0.37
2021 -0.13 0.19 -0.07 -0.41 0.66 0.23
2022 -0.15 0.19 -0.07 -0.49 0.65 0.13
2023 -0.17 0.19 -0.07 -0.52 0.63 0.06
2024 -0.18 0.2 -0.08 -0.53 0.62 0.03
2025 -0.19 0.2 -0.08 -0.5 0.61 0.04
2026 -0.18 0.2 -0.08 -0.46 0.59 0.07
2027 -0.18 0.21 -0.08 -0.4 0.57 0.12
2028 -0.16 0.21 -0.09 -0.34 0.56 0.18
2029 -0.15 0.22 -0.09 -0.27 0.54 0.25
2030 -0.13 0.22 -0.09 -0.21 0.53 0.31
Note

That we estimate the we take the level of potential output to be:

\[ Y_t = K_t L_t \]

where \(K\) and \(L\) are respectively the effective labour and capital contributions to output.

\[ L_t = E_t^{\alpha_1} A_t^{\alpha_2} H_t^{\alpha_3} \]

where \(E_t\) is employemnt, \(A_t\) - is human capital, \(H_t\) is hours worked.

\[ K_t = C_t^{\alpha_4} P_t^{\alpha_5} \]

where \(C_t\) is the stock of capital, \(P_t\) - is productivity.