Step 1: Identify the functional group.
The given compound contains the functional group
\[
\ce{-COO-},
\]
which indicates that it is an ester.
Step 2: Identify the alcohol part of the ester.
The alkyl group attached to the oxygen atom is a straight-chain propyl group. Hence, the alcohol-derived part is propyl.
Step 3: Identify the acid part of the ester.
The longest carbon chain containing the carbonyl carbon consists of three carbon atoms. Therefore, the parent acid is propanoic acid.
Step 4: Locate substituents on the acid chain.
Numbering the chain from the carbonyl carbon:
A bromine substituent is present at carbon 2.
A methyl substituent is present at carbon 5 (considering substituent structure).
Thus, the acid part is named 2-bromo-5-methylpropanoate.
Step 5: Write the complete IUPAC name.
Combining the alcohol and acid parts, the IUPAC name is:
\[
\text{2-bromo-5-methylpropanoate}.
\]
Final Answer:
\[
\boxed{\text{2-bromo-5-methylpropanoate}}
\]