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Your current salary is $60,000 per year, and is expected to grow by 5% per year until retirement. In 30 years (t-30) you plan to

Your current salary is $60,000 per year, and is expected to grow by 5% per year until retirement. In 30 years (t-30) you plan to retire, and hope at t=30 to have amassed a $3 million retirement balance. If you invest a constant percentage of your income (i.e. 10% or 15%) each year in an account earning 9% per year, compounded annually, what percentage must you invest to attain your retirement goal? Note: your first deposit will occur one year from today (and will be a percentage of your current $60.000 salary); your last deposit occurs at t=30.

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