DEFINITION of 'Premium Bond'. 1) A bond that is trading above its par value. A bond will trade at a premium when it offers a coupon rate that is higher than prevailing interest rates. This is because investors want a higher yield, and will pay more for it.2) A specific type of bond issued in nations such as the United Kingdom and Canada. bond will trade at a premium when it offers a coupon rate that is higher than prevailing interest rates. This is because investors want a higher yield, and will pay more for it.