Which statement is correct?

A$.$ Z$-$spread $($zero$-$volatility spread$)$ of Bond A is $1\mathrm{.}05\%$ and the Z$-$spread of Bond B is $1\mathrm{.}53\%.$ All else equal, Bond B is risker and will sell at a lower price than Bond A$.$

B$.$ If two bonds have the same coupon rate, the longer$-$term bond has a smaller percentage price change than the shorter$-$term bond when the market discount rate decreases $1\%.$

C$.$ A lower$-$coupon bond has a greater percentage price change than a higher$-$coupon bond when the market discount rate increases $1\%.$