3. (30 points) In order to compensate his establishment's urgent debts, Petyr Baelish is looking to sell a bond to Renly Baratheon. This 1000 par-valued bond has a nominal coupon rate of 12% with semiannual coupons and is set to yield a nominal yearly rate of 8% interest, convertible semiannually. The bond has a term of n years. During the negotiations, Petyr realizes that he might not able to gather the redemption amount in n years, so he immediately makes another offer with identical conditions, with the exception of term being 2n years instead of n. However, the price goes up by 122. Calculate the original bond's price