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We study the reform of the Spanish public pension system in a multiperiod, general equilibrium, overlapping generations model economy populated by heterogeneous households. Our households differ in their place of birth, in their age, in their education and, endogenously, in their employment status, in their wealth, and in their pension entitlements. They receive a stochastic endowment of efficiency labor units each period. And they face a disability risk and a survival risk. They understand the link between the payroll taxes that they pay and the public pensions that they receive. And they decide how much to consume and to work, and when to retire from the labor force. We calibrate this economy to Spanish data, and we use it to study the consequences of delaying three years the statutory retirement ages in 2010. We find this reform is sufficient to solve the sustainability problems that plague the current Spanish public pension system. Our model economy predicts that under the current rules, the pension system fund will run out in 2028 and in the reformed economy it will last until 2050. We also find that it is moderately expansionary, and that it improves social welfare from the year 2015 onwards. We conclude that policymakers should seriously consider delaying the statutory retirement ages in Spain sometime in the near futur.