PRODUCT CHOICE UNDER GOVERNMENT REGULATION: THE CASE OF CHILE'S PRIVATIZED PENSION SYSTEM

DOIhttp://doi.org/10.1111/iere.12319
AuthorPetra E. Todd,Elena Krasnokutskaya,Yiyang Li
Date01 November 2018
Published date01 November 2018
INTERNATIONAL ECONOMIC REVIEW
Vol. 59, No. 4, November 2018 DOI: 10.1111/iere.12319
PRODUCT CHOICE UNDER GOVERNMENT REGULATION: THE CASE
OF CHILE’S PRIVATIZED PENSION SYSTEM
BYELENA KRASNOKUTSKAYA,YIYANG LI,AND PETRA E. TODD1
Johns Hopkins University, U.S.A.; Competition Economics LLC,U.S.A.; University
of Pennsylvania, U.S.A.
Chile’s individual retirement pension accounts system has been a model for many countries. To limit the
riskiness of pension investments, Chile required pension fund managers to deliver returns that are not more
than 2% below the industry average. We develop and estimate a model of the pension investment market
that allows us to study the impact of minimum return regulation. We find that the regulation leads to higher
demand for risky investments, creates incentives to offer riskier portfolios, and leads to higher management
fees. However, the regulation also stimulates balance accumulation that ultimately reduces the reliance on
government support.
1. INTRODUCTION
The United States and many European countries are considering how best to reform their pay-
as-you-go social security systems. Demographic trends indicate rising numbers of pensioners
per worker and pending insolvency of many social security systems. The kinds of reforms being
considered include increasing the required social security contribution per worker, raising
the standard retirement age, or overhauling the system by transiting to a private retirement
accounts system. Chile has been at the forefront of pension reforms, having switched to a
private retirement accounts system 25 years ago. Numerous other Latin American and South
American countries followed suit, building on the Chilean model. These include (with years
of adoption in parentheses): Peru (1993), Colombia (1994), Argentina (1994), Uruguay (1996),
Bolivia (1997), Mexico (1997), El Salvador (1998), Costa Rica (2001), the Dominican Republic
(2003), Nicaragua (2004), and Ecuador (2004).2
The proposed plans for pension reform in the United States and in Europe have many
features in common with Chile’s pension system. They outline a system under which workers are
mandated to contribute a percentage of their income to their pension account, which is managed
by money manager(s) (either a government owned company or a competitive industry of money
managers). The government serves as a last resort guarantor, supplementing pension income
Manuscript received October 2016; revised May 2017.
1We thank Ludwig Ressner, formerly of Munich University, for his contribution to an early draft of the article.
In addition, we thank David Bravo, Jere Behrman, Olivia Mitchell, Sven Rady, and Markus Reisinger for helpful
discussions. We are grateful to Jose Ruiz and Viviana Velez-Grajales for help in collecting the pension fund cost and
return data series and in understanding pension fund fees and regulations. Solange Bernstein of the AFP regulatory
agency provided helpful assistance in understanding the structure and coding of the administrative data set, and Javiera
Vasquez Nunez was very helpful in the preparation of the data sets. We also thank Chao Fu, Clement Joubert, Edith Liu,
and Naoki Wakamori for able research assistance at various points over the course of this project. Elena Krasnokutskaya
and Petra Todd gratefully acknowledge financial support from a Michigan Retirement Research Center grant (#UM-
0917) and National Science Foundation grant (#0922405). The collection of the EPS data set used in this project
was funded in part by NIH R01-543250 (P.E. Todd, PI). Please address correspondence to: Elena Krasnokutskaya,
Department of Economics, Johns Hopkins, 554E Wyman Park Building, 3100 Wyman Park, Baltimore, MD 21218.
E-mail: ekrasnok@jhu.edu.
2Cogan and Mitchell (2003) discuss prospects for funded individual defined contributions account pensions in the
United States.
1747
C
(2018) by the Economics Department of the University of Pennsylvania and the Osaka University Institute of Social
and Economic Research Association
1748 KRASNOKUTSKAYA,LI,AND TODD
if pension accumulations are insufficient upon retirement (below prespecified minimal level)
either because of low income or unfavorable investment returns. All these features are present
in the Chilean pension fund system, called the Administradoras de Fondosde Pensiones (AFPs).
Specifically, workers are mandated to contribute 10% of their earnings to a retirement account.
Contributing workers receive a minimum pension benefit guarantee from the government.
Several important concerns have been raised about this type of individual retirement ac-
counts system. The first is that government obligations can be large, particularly in years with
unfavorable market returns. Second, the government guarantee of minimal support may induce
moral hazard problems by providing incentives for consumers with low income to choose risky
investment options. If the system is run by a competitive industry, then money managers may
offer products to meet this riskier demand.
To insulate consumers from excessive risk, individual retirement accounts pension systems
usually incorporate features designed to limit the riskiness of the portfolios offered. In some
cases, there may be restrictions on the investment options that pension fund managers are
allowed to offer. In other cases, the burden of guaranteed pension support may be shifted
in part from the government toward the industry by requiring that the pension managers
guarantee a certain level of return. For example, the Chilean government required pension
fund management firms to guarantee a return on their enrollees’ investments that is within 2
percentage points of the industry average.
This article investigates how this type of minimum return regulation affects the pension fund
industry’s operation. To this end, we estimate an equilibrium model of demand and supply
in the pension investment market and use the model to study the effects of regulation under
alternative scenarios. The question of whether and to what extent such regulations protect a
privatized retirement accounts system from excessive risk taking is pertinent not only for Chile
but also for the many other countries (listed above) that operate similar retirement account
systems and for any country considering a move to a privatized account system. Our analysis also
provides general insights into the consequences of minimum return guarantees in the context
of a competitive money management industry.
The model we develop is a three-stage model of industry competition and consumer choices.
In the first stage, the firms participating in the market simultaneously decide which portfolios to
offer. In the second stage, the firms observe competitors’ portfolio choices and simultaneously
decide on the fees that they charge their consumers. In the third stage, consumers choose pension
management firms to manage their pension accumulations, portfolio returns realize, and profits
accrue. We argue that in the absence of other incentives, the minimal return regulation induces
pension managers to choose riskier portfolios relative to the choices they would make in the
absence of regulation. However, the specific features of the demand (consumer heterogeneity)
may work to enhance or mitigate these incentives in a competitive environment. Specifically,
the joint distribution of risk preferences, price sensitivity, accumulated balance, and income
in the population plays an important role in determining the overall regulation impact. Also,
changes in products offered to the market, in fee structures, and in consumer choices induced
by the regulation will affect pension accumulation and may therefore have important welfare
implications. For example, if the regulation leads to riskier investments, we would expect to
see an increase in the variability of consumers’ balances, perhaps accompanied by an increase
in accumulated average balances. Depending on the magnitude of these effects, the minimum
return regulation may work to facilitate balance accumulation and decrease reliance on govern-
ment pension support. Empirical analysis is needed to fully assess the effect of such regulation
on the market operation.
Our empirical analysis combines data from multiple sources. First, we have administrative
data on contributions and fund choices from 1981 to 2004 from the pension fund regulatory
agency. These data were merged with longitudinal household survey data gathered in 2002 and
2004. Thus, we analyze microlevel data on individual characteristics, wealth levels, and pension
fund choices. Additionally, we obtained data series on portfolios’ returns and fees charged by
funds as well as accounting cost data.
PRODUCT CHOICE UNDER REGULATION 1749
Descriptive analysis reveals that consumer heterogeneity plays an important role in this
market. For example, evidence that different firms attract different types of consumers can be
seen in the fact that the pension management firm that attracts the highest share of enrollees
does not have the highest share of balance under management; that is, this company tends
to attract individuals with relatively low average balances. Indeed, preferences for risk and
for residual income that drive consumer’s choices likely vary across demographic groups, and
AFP firms can exploit this heterogeneity to segment the market. We capture this feature of the
environment by rationalizing the observed demand for pension managing services through an
indirect utility function where the risk preferences and price sensitivity depend in a flexible way
on consumers’ demographics.
As in many other developing countries, the Chilean economy is characterized by a substantial
informal sector. Descriptive analysis reveals that many individuals participating in the pension
system spend almost half of their working time in the informal sector and, during these periods,
do not contribute to their pension account. For this reason, we also incorporate in our model
individuals’ decisions whether to work in the formal or in the informal sector.
We find that consumers’ risk preferences and price sensitivity vary with demographics. In-
terestingly, consumers in this market are quite risk averse, which suggests that concerns about
excessive demand for risky products may not be justified. The estimated level of risk aversion is
comparable to the levels that have been estimated for other markets, for example, the market
for car insurance.3
Our estimated model fits the data well. In particular, using a single set of firm fixed effects,
the model rationalizes market shares of various pension managers with respect to the number
of enrollees, balance under management, and contributions in the population of informal and
formal sector workers. A large part of the model fit is accounted for by the systematic part
of the model instead of the unobservable error terms. Unlike other studies of differentiated
products markets, we have access to detailed data on firms’ costs. We use these data to estimate
the pension managers’ cost function directly, instead of exploiting optimality of firms’ pricing
decisions as is more standard in the differentiated products literature. An advantage of this
approach is that it allows us to recover the model primitives without having to impose a
particular model of pricing and competition in the estimation.
We use the estimated parameters characterizing the demand and supply side of our mar-
ket to conduct counterfactual analysis of the impact of the minimal return regulation on the
industry and on consumers.4We find that given the market returns in our data, minimal re-
turn regulation incentivizes firms to move toward riskier portfolios relative to those that would
be chosen in the absence of regulation. Specifically, the risk of the safest portfolio offered
in the market increases substantially. We isolate the effects associated with the two channels
through which regulation impacts the market: (i) It directly affects consumer choices by of-
fering them protection from downside risk, and (ii) it imposes additional costs on the pension
management firms, which is tied to their performance relative to that of competitors. The first
component effectively shifts consumer demand toward moderately risky products. This induces
the industry to substantially increase the risk of the safest portfolio offered while reducing
the risk of the riskiest portfolio. The second component has dual effects. On the one hand,
it introduces complementarities in firms’ portfolio choices. On the other hand, the regulation
imposes additional costs on the industry that results in an increase in the fees charged for pen-
sion management services. The relative impact of these two effects appears to depend on the
degree of protection from downside risk offered to consumers by the regulation. Specifically,
3See Cohen and Einav (2007) for the review of the levels of consumer risk aversion documented in different settings.
4In this analysis, we study the impact of minimal return regulation holding constant other features of the market.
In reality, however, this regulation was implemented in combination with some other restrictions on the operation of
portfolio managers. In the analysis below, we investigate the combined impact of the minimal return regulation and
one such restriction, an upper bound on the riskiness of the assets that the money managers were allowed to include
in their portfolios. We find that the imposition of portfolio restrictions can reduce the impact of the minimal return
regulation.

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