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An econometric assessment of telecommunications prices and consumer surplus in Mexico using panel data

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Abstract

We analyze telecommunications prices in Mexico by using a panel data of countries similar to Mexico to estimate demand models for mobile and fixed-line telecommunications. We find that Mexico’s actual mobile and fixed-line prices are below the predicted prices based on similar countries’ prices. Mexican consumers are paying lower prices than what one would expect based on comparisons of comparable countries. We calculate that in 2011 Mexican consumers received at least $4–$5 billion (USD) in consumer surplus from these lower mobile prices and in 2010 they received over $1 billion (USD) in consumer surplus from these lower fixed-line prices. These findings are in contrast to the general perception that concentrated telecommunications markets in Mexico are resulting in high prices and harming consumers.

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Notes

  1. A recent study from the Organization for Economic Cooperation and Development (OECD) published in January 2012 entitled, “Estimation of Loss in Consumer Surplus Resulting from Excessive Pricing of Telecommunication Services in Mexico” concludes that high pricing of Mexico’s telecommunications services caused a loss in consumer surplus estimated at $129.2 billion (USD) from 2005 to 2009, or 1.8 percent of Mexico’s annual GDP, OECD (2012). We have critiqued the OECD (2012) econometric analysis and price data sources extensively in Hausman and Ros (2012).

  2. The remaining BoA/ML upper middle income countries not selected were dropped because of other data constraints such as not having the sufficient yearly data.

  3. Specifically, we used voice revenue per minute from Bank of America–Merrill Lynch because those data are frequently used and represent actual expenditures rather than some other non-market based measures, such as the price for a hypothetical mobile call of a given length. Although errors in variables (EIV) may exist in the Bank of America–Merrill Lynch data as a measure of price, EIV should not present a significant problem because we always treat the price variable as (jointly) endogenous. See, e.g., Hausman (1977).

  4. The FCC also examines the cellular component of the CPI for determining cellular service price trends, see FCC 15th Annual Mobile Wireless Competition Report.

  5. In addition, as discussed in Leonard (2010), “PPPs are basically multi-lateral price indices which inherit the problems of price indices in individual countries, especially in their incorrect treatment of new goods.” See also, Deaton (2010) for a discussion of additional critiques of PPP.

  6. Mexico’s PPP-adjusted price in 2011 Q3 is $0.0582. The mean PPP-adjusted price is $0.105. Mexico is below the 95 % confidence interval for the mean.

  7. Hausman (1978). See also Kennedy (2003), Baltagi (2011), and Greene (2003). High values for the test statistic will indicate that fixed-effects modeling is superior to random-effects modeling.

  8. See Hausman and Taylor (1981). See also Hsiao (2003) and Baltagi (2008).

  9. See, e.g., Kenndy (2003, pp. 151–152).

  10. A Hausman specification test for the joint endogeneity of price rejects the hypothesis that price is exogenous. The test statistic is 24.8, which is distributed as chi square with 1 degree of freedom. The \(p\) value is 0.00000065. Endogeneity can be a problem because, if unobserved variables jointly affect both the dependent and independent variables, then the coefficient estimates for the independent variables may be biased. An instrument is used to adjust for this problem. An effective instrument will be correlated with the independent variable (in this case, price) but not correlated with the unobserved variables, which are captured by the stochastic error terms.

  11. Hausman and Taylor (1981) for applications of this approach, see Hausman et al. (1994); Hausman (1997a) and Hausman and Leonard (2002) , The Competitive Effects of a New Product Introduction: A Case Study, 50 J. Indus. Econ. 237 (2002). For another application of the approach, see Nevo (2001).

  12. This approach passes the “weak instrument” tests. Also, the estimate of the price variable coefficient in the demand equation is very precise.

  13. We use the econometric software Eviews for the estimation.

  14. This estimate contrasts with the OECD (2012) results, which finds no effect of GDP per capita in its sample of rich countries.

  15. We estimate a price elasticity of \(-\)0.492 (\(t\) statistic \(=\) 7.94) and a GDP elasticity of 0.608 (t statistic \(=\) 4.21) using PPP-deflated data.

  16. We do a Sargan–Hansen test of over-identification beginning with the results in Table 3 and then including the DLPRICEIV1 instrument from Table 4. The test statistic is 0.46, which is distributed as a chi square with 1 degree of freedom. The \(p\) value is 0.497, which does not reject that the over-identifying restrictions are orthogonal to the stochastic disturbance.

  17. See, e.g., Hsiao (2003) and Baltagi (2008).

  18. The model passes the Sargan–Hansen test of over-identification: the test statistic is 2.38, which is distributed as chi square with 2 degrees of freedom, so the \(p\) value of the test is 0.304.

  19. The total effect is \(-0.1055/(1-0.7784)\), and the \(t\) statistic is estimated using the delta method.

  20. We also tested the model specification by including a time trend variable, but its effect is small and not significant (with a \(t\) statistic \(=\) 0.503). We also included log of population, but again, the effect is very small and not significant (\(t\) statistic \(=\) 0.456). Lastly, the model passes the Sargan–Hansen test of over-identification, although the \(p\) value is 0.055.

  21. To test how robust are our results, we repeat the comparison of Mexico’s actual and forecasted mobile prices using alternative estimations. Our results are consistent across the alternative forecasting methods: Mexico’s actual mobile prices have fallen below the predicted prices. First, we estimate a model using least squares instead of fixed effects. By 2011, Mexico’s actual mobile price was 55.5-percent below the least-squares forecasted price. Second, we repeat this exercise using least squares but remove Mexico from the sample when we estimate the equation. Using this method, we find that Mexico’s actual mobile price in 2011 was 59.8-percent below the least-squares forecasted price. Third, we do the same estimation but instead use the PPP-adjusted prices. Under this estimation, in 2011, Mexico’s actual mobile prices were 32.3-percent below forecasted prices on a PPP basis. All our estimations show that, when we compare Mexico’s average mobile prices with forecasted prices based on other countries’ prices and the average of other countries’ prices, Mexico has had lower prices since about mid-2006. By 2011, Mexico’s actual mobile prices were significantly lower than the forecasted prices, by 32 % or more.

  22. For the development of the consumer surplus equations, see Hausman (2003).

  23. Anomalous price data for five countries required us to reduce the sample size of peer countries.

  24. The countries that we dropped from the analysis due to missing and anomalous data were Argentina, Chile, Colombia, Poland, and South Africa.

  25. The finding for exogeneity of price in fixed line may well arise, in part, because fixed line prices are set by regulation, not by competition, in some countries in the sample.

  26. These results are on the high side of previous findings, see Garbacz and Thompson (2007).

  27. OECD (2012, p. 44 tbl.39).

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Acknowledgments

The work in this paper was in part based upon a report that was commissioned and funded by América Móvil, the fixed-line provider and largest mobile carrier in Mexico. The views expressed here, however, are solely the authors. The authors thank Douglas Umana for research and data analysis.

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Correspondence to Agustin J. Ros.

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Hausman, J.A., Ros, A.J. An econometric assessment of telecommunications prices and consumer surplus in Mexico using panel data. J Regul Econ 43, 284–304 (2013). https://doi.org/10.1007/s11149-013-9212-0

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