The top of a lake is frozen. Air in contact is at -15°C. What do you expect the maximum temperature of water?

The top of a lake is frozen. Air in contact is at -15°C. What do you expect the maximum temperature of water ?
(i) in contact with lower surface of ice.
(ii) at the bottom of the lake.

(i) 0°C in contact.
(ii) 4°C at the bottom.