Bond A has a maturity of 20 years, semi-annual coupon of 5%, and a yield to maturity of 4.75%.

Bond B has a maturity of 10 years, semi-annual coupon of 6%, and a yield to maturity of 4.25%.

Both bonds are issued by the same company and have the same face value of $1,000.

Given the current market condition, it is a reasonable conjecture that interest rates are going up. In this environment with upward pressure on interest rate which bond do you think will have higher volatility going forward? That is, which bond has greater price sensitivity going forward? Provide an unambiguous explanation to answer this question