Tax-deductible and interest rate, Macroeconomics

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Suppose that Lilistan has two types of citizens: low-income citizens (income = $20,000) and high-income citizens (income = $80,000). Interest income is currently taxed and each type of citizen saves 10% of his or her income for retirement. The government is proposing to allow citizens to put money into an Individual Retirement Account where the contributions would be tax-deductible and interest would accumulate tax-free. Withdrawals would then be taxed as income. The government currently wants to set a $5,000 annual limit on the accounts. Discuss the effect of this policy on the saving choices of both the low-income and high-income citizens in terms of both income and substitution effects as well as the overall effect. 


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