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Professors Annuity Corp. offers a lifetime annuity to retiring professors. For a payment of $300,000 at age 60, the firm will pay the retiring professor

Professors Annuity Corp. offers a lifetime annuity to retiring professors. For a payment of $300,000 at age 60, the firm will pay the retiring professor $2,500 a month until death. If the professors remaining life expectancy is 30 years, what is the monthly rate on this annuity? What is the effective annual rate?

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