Without having your filing status (Single, Married Filing Jointly, etc.) and income, it's not possible to determine your tax benefit. In general terms, your one-year-old dependent is entitled to a dependent exemption. That exemption reduces your income by $3,650, in addition to whatever other exemptions (your personal, your spouse) you have. Also, your child may reduce the amount of tax through certain credits (such as child/dependent care expenses). Furthermore, depending on your income and filing status, you also may be eligible for other credits such as earned income.
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