Problem #4: The difference between a Roth IRA and a traditional IRA is that in a Roth IRA taxes are paid on income that is contributed but the withdrawals at retirement are tax-free. In a traditional IRA, however, the contributions reduce your taxable income, but the withdrawals at retirement are taxable. Assume you plan to devote $5,000 to retirement savings in each year. You will retire in 30 years and expect to live for an additional 20 years after retirement. Part a: Assume the before-tax interest rate is 5%. What will be your after-tax 20-year retirement consumption stream if you choose to save in a traditional IRA? Assume your tax rate is fixed at 30% Part b: What will be your 20-year retirement consumption stream if you choose to save in a Roth IRA? Part c: Which provides better expected results if you expect your tax rate to derease from 30% today to 25% at retirement