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One way that people save for retirement is with Individual Re- tirement Accounts, or IRAs, which offer tax advantages relative to standard brokerage accounts. Suppose

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One way that people save for retirement is with Individual Re- tirement Accounts, or IRAs, which offer tax advantages relative to standard brokerage accounts. Suppose that on January 1, 1990, your parents opened an IRA with a $3,000 contribution. They then invest $3,000 annually on every January 1 until January 1, 2019, when they retire (a total of 30 payments). (a) If the IRA earns 6% interest per year (compounded annually), how much did your parents have in their account when they re- tired on January 1, 2019? (b) Suppose on their retirement date of January 1, 2019, your parents withdrew $10,000 from their IRA to take a long-anticipated fancy vacation. Suppose that the remaining balance in the IRA continued to earn 6% during 2019 (annual compounding). What was the balance of the IRA on January 1, 2020? One way that people save for retirement is with Individual Re- tirement Accounts, or IRAs, which offer tax advantages relative to standard brokerage accounts. Suppose that on January 1, 1990, your parents opened an IRA with a $3,000 contribution. They then invest $3,000 annually on every January 1 until January 1, 2019, when they retire (a total of 30 payments). (a) If the IRA earns 6% interest per year (compounded annually), how much did your parents have in their account when they re- tired on January 1, 2019? (b) Suppose on their retirement date of January 1, 2019, your parents withdrew $10,000 from their IRA to take a long-anticipated fancy vacation. Suppose that the remaining balance in the IRA continued to earn 6% during 2019 (annual compounding). What was the balance of the IRA on January 1, 2020

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