From taxi rides to hotel stays, many elements of everyday life have been disrupted by tech upstarts. Now, some are eyeing the retail brokerage space, with industry experts contemplating an end to the "unfair" fees charged when buying shares.

Historically, the costs involved in buying and selling shares have been high, meaning that it often only makes sense for those trading in high volumes. Stockbrokers usually charge commission on each trade, whether you're buying or selling, as either a flat fee or a percentage.