Do you have the claim to buy lease kfz at the residual value?

hello. I have a short question: my girlfriend least private an opera astra gtc. on 17 May the contract expires. on the leasing contract a residual value of 9900 euro is estimated. now my project (if possible): the vehicle has a value of approx.13500 euro in private sale. does my girlfriend now have the right to buy the astra to these 9900 euro, which are specified in the contract? because then one would simply sell it again and would have around the 3000euro. thank you