Problem:
$1,000 face value, 10 yr, noncallable bonds, same risk, YTM's are equal.
Bond 8 has an 8% annual coupon
Bond 10 has a 10% annual coupon
Bond 12 has a 12% annual coupon
Bond 10 sells at par. If interest rates are constant for next 10 years, does it make sense that they should all have the same price and the bond prices should remain at the current level until maturity?