You have the following information on two bonds

Bond $1$ Bond $1$

Type Coupon Zero Coupon

Term $($Yrs$)33$

Payment Frequency Annual Annual

Face Amount $($$$)$ $$25,000$ $$25,000$

Coupon $(\%)6\%$ NA

a$.$ Calculate the duration of Bond $1$ if current yields are $7\%$

b$.$ What happens to Bond $1\text{'}$s duration if yields are $5\%$

c$.$ Calculate the duration of Bond $2$ with a current yield of $6\%$