The compound that will undergo an SN2 reaction most readily is \((\mathrm{CH}_3)_2\mathrm{CHCH}_2\mathrm{CH}_2\mathrm{CH}_2\mathrm{I}\), as it is a primary iodide with minimal steric hindrance.
\[
\boxed{(\mathrm{CH}_3)_2\mathrm{CHCH}_2\mathrm{CH}_2\mathrm{CH}_2\mathrm{I}}
\]