Question about bond interest income income

tango_gs

Just want to make sure I understand the concept:

Let's suppose a bond is issued at par with a coupon of 5%. Face value is $1,000 and coupon is annual. The coupon payment won't change as that will always be $50. However the yield ($50/face value*100%) WILL as the value of the bond moves up and down in the market. So, you're still getting $50 of interest income it's just that the coupon may be plus/minus an amort. premium or discount and will sum up to $50. Right?