Todd owns a thirty$-$year zero$-$coupon bond priced at $$304\mathrm{.}78.$ If interest rates increase by $50$ basis points, how much will the bond change?

The price will decrease less than $5\%.$

The price will increase less than $5\%.$

The price will decrease between $5\%$ and $10\%.$

The price will decrease more than $10\%.$