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A local university offers a lifetime annuity to retiring professors. For a payment of $200,000 at age 65, they will pay the retiring professor $1,000

A local university offers a lifetime annuity to retiring professors.

For a payment of $200,000 at age 65, they will pay the retiring professor $1,000 a month until death.

If the professors remaining life expectancy is 25 years, what is the monthly rate on this annuity?

What is the effective annual rate?

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