Final answer:
Alte Inc. should recognize the difference between its bond's issue price and the face amount as a premium on bonds payable, which occurs when convertible bonds are issued above face value due to the attractiveness of the conversion feature to investors.
Step-by-step explanation:
Based on the information provided and the application of U.S. GAAP, Alte Inc. should recognize the difference between the issue price and the face amount of the bonds as a premium on bonds payable. When Alte Inc. issues convertible bonds at 101, which is above the face value, the excess amount over the face value is recorded as a premium on bonds payable. This premium is essentially additional paid-in capital that arises due to the bonds being convertible into another form of security, often shares of stock, causing investors to pay above the face value. A similar bond issued without the conversion right at 99 would have resulted in a discount; however, since the issued convertible bonds are at a premium, this is recognized as an augmentation to the bonds payable on the company's balance sheet.