Calculate the MaCaulay duration for a $4\%$ coupon bond with $3$ years remaining that makes semiannual payments, has a

par value of $$100$ and a YTM of $4\%,$ then use your estimate of duration to calculate the estimated price change of a $10$

Bp increase in the YTM of the bond.

Mac Duration $=2\mathrm{.}86,$ Estimated price change $=0\mathrm{.}2897$