You see, this already exists [1]. It costs around 2000 Rs, that is like $30, A wireless mouse and keyboard will cost around the same. So for $60 you will have all the component to make this work.

Let me say this again. For 60$ worth of components you can have a remote control that will let you work on your desktop from anywhere in your home.

Will you be interested?

[1] http://www.amazon.in/eShop24x7-Wireless-Display-Miracast-Air...