Which of the following best describes the concept of a bond premium?

A bond premium refers to a situation where a bond's market price is higher than its par value, which is the face value of the bond. This occurs when the bond is sold for more than its stated value, typically because it offers a higher interest rate than what is currently available in the market for new bonds. When investors perceive a bond as being more attractive due to its favorable interest rates, they are willing to pay a premium above the par value.

This context helps understand why the other options do not accurately capture the essence of a bond premium. A discount on purchasing a bond indicates the opposite scenario, where the bond is priced lower than its par value. The yield earned when bonds are held to maturity is related to the total return on investment, not specifically to the concept of a premium. Lastly, the reduction in bondholder's interest payments does not describe a premium but rather a situation where investors might expect less financial benefit. Thus, the definition in the correct response directly aligns with the fundamental characteristics of what constitutes a bond premium.