Suppose that yields $($ytm$)$ for every maturity suddenly drop by $3\%.$ Which of the following bonds will be affected the most $($in terms of percentage

change in price$)?$

a$.$ A zero$-$coupon bond with maturity $3$ years

b$.$ A zero$-$coupon bond with maturity $5$ years

c$.$ A coupon bond with coupon rate $20\%$ and maturity $3$ years

d$.$ All bonds will be affected the same

e$.$ A coupon bond with coupon rate $20\%$ and maturity $5$ years

f$.$ A coupon bond with coupon rate $10\%$ and maturity $3$ years

g$.$ Bond prices are not affected by yields

h$.$ A coupon bond with coupon rate $10\%$ and maturity $5$ years