A bond will sell at premium when its coupon interest rate exceeds the market interest rate on similar bonds.
Explanation:
Premium bonds are the bonds that are trading above par in the market. Further on the bond would trade on premium only when it offers a coupon rate exceeding the market rate that is being offered on similar bonds.
In simple lay man's language, the term premium and discount can be understood to carry a crude definition of high and low demand. When the demand would be high, the bonds would fetch a higher value and vice-versa.
Thus Bonds would highly be valued when it is paying interest that is greater than the interest prevailing in the market contemporarily.
