A first fin field effect transistor and a second fin field effect transistor are formed on an insulator layer overlying a semiconductor material layer. A first pair of trenches is formed through the insulator layer in regions in which a source region and a drain region of the first fin field effect transistor is to be formed. A second pair of trenches is formed partly into the insulator layer without extending to the top surface of the semiconductor material layer. The source region and the drain region of the first field effect transistor can be epitaxial stressor material portions that are anchored to, and epitaxially aligned to, the semiconductor material layer and apply stress to the channel of the first field effect transistor to enhance performance. The insulator layer provides electrical isolation from the semiconductor material layer to the second field effect transistor.