Whichofthefollowingbondswillbemostsensitivetoachangeininterestratesifallbondshave the same initial yield to maturity?

A$)$ a ten$-$year bond with a $$1000$ face value whose coupon rate is $5\mathrm{.}8\%$ APR paid semi$-$annually B$)$ a ten$-$year bond with a $$1000$ face value whose coupon rate is $7\mathrm{.}4\%$ APR paid semi$-$annually C$)$ a $20-$year bond with a $$1000$ face value whose coupon rate is $5\mathrm{.}8\%$ APR paid semi$-$annually D$)$ a $20-$year bond with a $$1000$ face value whose coupon rate is $7\mathrm{.}4\%$ APR paid semi$-$annually E$)$ a $15-$year bond with a $$1000$ face value whose coupon rate is $6\mathrm{.}6\%$ APR paid semi$-$annually