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The paper aims to enrich previous findings for an emerging banking industry such as Vietnam, reporting the difference between the parametric and nonparametric methods when measuring cost efficiency. The purpose of the study is to assess the consistency in issuing policies to improve the cost efficiency of Vietnamese commercial banks.

The cost efficiency of banks is assessed through the data envelopment analysis (DEA) and the stochastic frontier analysis (SFA). Next, five tests are conducted in succession to analyze the differences in cost efficiency measured by these two methods, including the distribution, the rankings, the identification of the best and worst banks, the time consistency and the determinants of efficiency frontier. The data are collected from the annual financial statements of Vietnamese banks during 2005–2017.

The results show that the cost efficiency obtained under the SFA models is more consistent than under the DEA models. However, the DEA-based efficiency scores are more similar in ranking order and stability over time. The inconsistency in efficiency characteristics under two different methods reminds policy makers and bank administrators to compare and select the appropriate efficiency frontier measure for each stage and specific economic conditions.

This paper shows the need to control for heterogeneity over banking groups and time as well as for random noise and outliers when measuring the cost efficiency.

The study examines the impact of income diversification on cost efficiency of Vietnamese commercial banks over the period 2005–2017.

Income diversification indicators are designed based on measures of diversifying loan portfolio. Besides the traditional model, we use the Fractional Regression to estimate the model with dependent variables defined on the unit interval.

Through the two-stage DEA analysis, we find that the income diversification has a positive impact on the cost efficiency of banks. In addition, this impact is stronger for unlisted banks and in the phase of banking system ongoing restructuring.

The use of a variety of income diversification measures and estimation methods for models with bounded dependent variable has provided a reliable empirical evidence of the advantages of implementing a strategy on structural diversity of both interest and non-interest income in the emerging banking markets such as Vietnam.