Do you agree with given analysis

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Consider the following analysis: The rise and fall of a bond's price has a direct inverse relationship to its yield to maturity, or interest rate. As prices go up, the yield declines and vice versa. For example, a $1,000 bond might carry a stated annual yield, known as the coupon of 8%, meaning that it pays $80 a year to the bondholder.

If that bond was bought for $870, the actual yield to maturity would be 9.2% ($80 annual interest on $870 of principal). Do you agree with this analysis? Briefly explain.

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