Whilst Home Accountz does not track share prices, it is possible to record the cost of shares bought and sold and manually keep track of their value.
You can create unlimited share account/categories, a profit and loss on shares account, enter quantities and purchase prices. Then either daily, weekly or monthly adjust the market value to show the current value. Shares can also be bought and sold.
Please email email@example.com if you would like any more information on this.