Extend the solution for the special case (T ightarrow infty) to finite horizon when utility is

Extend the solution for the special case \(T \rightarrow \infty\) to finite horizon when utility is HARA. Use the HARA solution to provide the solutions for the special cases of CRRA and CARA when horizon is finite. Provide the economic interpretation for all three cases and compare them with the infinite horizon case. [Hint: see Merton