A bond that is trading above its par value in the secondary market is a premium bond. A bond will trade at a premium when it offers a coupon (interest) rate that is higher than investor's required rate of return.This is because investors want a higher yield and will pay for it.
A person would buy a bond at a premium (pay more than its maturity value) because the bond's stated interest rate (and therefore its interest payments) are greater than those expected by the current bond market.
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