Problem #$3$:

There is a bond on a company$$s books with an original term of $10$ years that was purchased for a premium at its issuance, just over $2$ years ago. The bond pays semi$-$annual interest. With the receipt of the latest coupon, the corresponding amount for amortization of the premium was $$112\mathrm{.}16.$ Exactly one year ago, the amount for amortization of the premium was $$103\mathrm{.}90.$ Based on the relation between subsequent amounts for amortization of the principal, what was the original value of the premium?

Problem #$3$:

Answer correct to $2$ decimals.