Advantages:
1. Do not need to specify which variables are endogenous or exogenous. All are endogenous
2. VARs allow the value of a variable to depend on its own lags and the lags of other variables. Models thus offer a rich structure which may be able to capture more characteristics of the data.
3. Assuming there are no contemporaneous terms on the right-hand side of the VAR, OLS can be used separately on each equation to estimate the system. This is because all the variables on the RHS are pre-determined i.e., at time t they are known. It can be shown that OLS will be consistent, asymptotically efficient and asymptotically normal.
4. Forecasts generated by VARs are often better than conventional structural models