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There is a bond on a company's books with an original term of 10 years that was purchased for a premium at its issuance, just

There is a bond on a company's books with an original term of 10 years that was purchased for a premium at its issuance, just over 2 years ago. The bond pays semi-annual interest. With the receipt of the latest coupon, the corresponding amount for amortization of the premium was $178.94. Exactly one year ago, the amount for amortization of the premium was $166.08. Based on the relation between subsequent amounts for amortization of the principal, what was the original value of the premium?

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The correct answer is: $4666.59

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