$M=1000n=3$ years Coupon Rate $=5\%($paid annually$)r=4\mathrm{.}75\%$ B$\_0=1006\mathrm{.}84$

Sum of PV of time weighted CFs $=2879\mathrm{.}49$

Duration for the bond is

a$.-3\mathrm{.}12$

b$.-2\mathrm{.}86$

c$.-3\mathrm{.}00$

d$.-2\mathrm{.}59$

e$.0\mathrm{.}00$