$1.$ All other things equal $($YTM $=10\%),$ which of the following has the shortest duration?

a$)$ A $15-$year bond with a $4\%$ coupon

b$)$ A $5-$year bond with a $4\%$ coupon

c$)$ A $15-$year bond with a $10\%$ coupon

d$)$ A $5-$year bond with a $10\%$ coupon

$2.$ The market capitalization rate on the stock of AA Wholesale Company is $10\%.$ Its expected ROE is $14\%,$ and its expected EPS is $$5.$ If the firm's plowback ratio is $50\%,$ its P$/$E ratio will be $\_\_\_\_\_\_\_\_\_\_.$

a$)24\mathrm{.}15$

b$)28\mathrm{.}33$

c$)19\mathrm{.}23$

d$)16\mathrm{.}67$

thank u so much