Final answer:
To calculate the gain or loss on early extinguishment of debt, subtract the carrying amount of the bonds from the cash paid to retire them. The correct answer is $300,000 loss.
Step-by-step explanation:
To calculate the gain or loss on early extinguishment of debt, we need to determine the carrying amount of the bonds and compare it to the cash paid to retire them. The carrying amount consists of the face amount of the bonds plus any unamortized bond discount or deferred bond issue costs. In this case, the carrying amount is calculated as $5,000,000 (face amount) - $200,000 (bond discount) - $50,000 (deferred bond issue costs) = $4,750,000. Prouty acquired the bonds at 101, meaning they paid 101% of the face amount, which is $5,050,000 (101% * $5,000,000).
The gain or loss is then calculated as the difference between the cash paid and the carrying amount: $5,050,000 - $4,750,000 = $300,000. Therefore, the correct answer is option B. $300,000 loss.