Consider an individual aged 64 who is eligible to collect full social security (public pension) benefits of $6000 for a year. She has no other income, but can work at a weekly wage rate of $600 for a maximum of 52 weeks. Receipt of benefits from the social security program is retirement-tested. Specif- ically, the individual can earn up to $9000 in annual wage income without a reduction in benefits; how- ever, after $9000 of earnings, benefits are reduced by 50 percent for every dollar earned, until the ben- efits are exhausted. a. Carefully draw and label the budget constraint for this individual. b. Consider an individual whose labour supply decision is such that she receives YA in social security benefits, so that 0 , YA , $6000 (i.e., she receives positive but reduced benefits). On the carefully labelled diagram from part (a), show her labour supply decision. c. “Elimination of the retirement test (i.e., allowing the individual to keep all benefits, irrespective of his or her labour earnings) will unambigu- ously increase the labour supply of the individ- ual described in part (b).” True or false? Explain, using a carefully labelled diagram.
Consider an individual aged 64 who is eligible to collect full social security (public pension) benefits of $6000 for a year. She has no other income, but can work at a weekly wage rate of $600 for a maximum of 52 weeks. Receipt of benefits from the social security program is retirement-tested. Specif- ically, the individual can earn up to $9000 in annual wage income without a reduction in benefits; how- ever, after $9000 of earnings, benefits are reduced by 50 percent for every dollar earned, until the ben- efits are exhausted. a. Carefully draw and label the budget constraint for this individual. b. Consider an individual whose labour supply decision is such that she receives YA in social security benefits, so that 0 , YA , $6000 (i.e., she receives positive but reduced benefits). On the carefully labelled diagram from part (a), show her labour supply decision. c. “Elimination of the retirement test (i.e., allowing the individual to keep all benefits, irrespective of his or her labour earnings) will unambigu- ously increase the labour supply of the individ- ual described in part (b).” True or false? Explain, using a carefully labelled diagram.
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.2P
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Consider an individual aged 64 who is eligible to collect full social security (public pension) benefits of $6000 for a year. She has no other income, but can work at a weekly wage rate of $600 for a maximum of 52 weeks. Receipt of benefits from the social security program is retirement-tested. Specif- ically, the individual can earn up to $9000 in annual wage income without a reduction in benefits; how- ever, after $9000 of earnings, benefits are reduced by 50 percent for every dollar earned, until the ben- efits are exhausted.
a. Carefully draw and label the budget constraint for this individual.
b. Consider an individual whose labour supply decision is such that she receives YA in social security benefits, so that 0 , YA , $6000 (i.e., she receives positive but reduced benefits). On the carefully labelled diagram from part (a), show her labour supply decision.
c. “Elimination of the retirement test (i.e., allowing the individual to keep all benefits, irrespective of his or her labour earnings) will unambigu- ously increase the labour supply of the individ- ual described in part (b).” True or false? Explain, using a carefully labelled diagram.
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