You own a 10-year bond and a 20-year bond, both of which are non-callable bond and pay a coupon of 5%. What is true about the change in the value of your bonds, if the interest rate falls from 12% to 9%?

a The value of the 20-yr bond will decrease by $46 more than the 10-yr bond

b The value of the 20-yr bond will decrease by $27 more than the 10-yr bond

c The value of the 20-yr bond will increase by $19 more than the 10-yr bond

d The value of the 20-yr bond will increase by $27 more than the 10-yr bond

e The value of the 20-yr bond will increase by $72 more than the 10-yr bond