Several years ago, Rolen Riders issued preferred stock with a stated annual dividend of $10\%$ of its $$100$ par value. Preferred stock of this type currently yields $8\%.$ Assume dividends are paid annually.

a$.$ What is the estimated value of Rolen's preferred stock? Round your answer to the nearest cent.

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b$.$ Suppose interest rate levels have risen to the point where the preferred stock now yields $12\%.$ What would be the new estimated value of Rolen's preferred stock? Round your answer to the nearest cent.

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