diff --git a/stdlib/2.7/__builtin__.pyi b/stdlib/2.7/__builtin__.pyi
index fac290b03dc4..ff54f462951e 100644
--- a/stdlib/2.7/__builtin__.pyi
+++ b/stdlib/2.7/__builtin__.pyi
@@ -677,12 +677,12 @@ def map(func: Callable[[_T1, _T2], _S],
         iter1: Iterable[_T1],
         iter2: Iterable[_T2]) -> List[_S]: ...  # TODO more than two iterables
 @overload
-def max(arg1: _T, arg2: _T, *args: _T) -> _T: ...
+def max(arg1: _T, arg2: _T, *args: _T, key: Callable[[_T], Any] = None) -> _T: ...
 @overload
 def max(iterable: Iterable[_T], key: Callable[[_T], Any] = None) -> _T: ...
 # TODO memoryview
 @overload
-def min(arg1: _T, arg2: _T, *args: _T) -> _T: ...
+def min(arg1: _T, arg2: _T, *args: _T, key: Callable[[_T], Any] = None) -> _T: ...
 @overload
 def min(iterable: Iterable[_T], key: Callable[[_T], Any] = None) -> _T: ...
 @overload
diff --git a/stdlib/3/builtins.pyi b/stdlib/3/builtins.pyi
index cbf96d2c25ed..7a6a4994b020 100644
--- a/stdlib/3/builtins.pyi
+++ b/stdlib/3/builtins.pyi
@@ -658,14 +658,14 @@ def map(func: Callable[[_T1], _S], iter1: Iterable[_T1]) -> Iterator[_S]: ...
 def map(func: Callable[[_T1, _T2], _S], iter1: Iterable[_T1],
         iter2: Iterable[_T2]) -> Iterator[_S]: ...  # TODO more than two iterables
 @overload
-def max(arg1: _T, arg2: _T, *args: _T) -> _T: ...
+def max(arg1: _T, arg2: _T, *args: _T, key: Callable[[_T], Any] = None) -> _T: ...
 @overload
-def max(iterable: Iterable[_T], key: Callable[[_T], Any] = None) -> _T: ...
+def max(iterable: Iterable[_T], key: Callable[[_T], Any] = None, default:_T = None) -> _T: ...
 # TODO memoryview
 @overload
-def min(arg1: _T, arg2: _T, *args: _T) -> _T: ...
+def min(arg1: _T, arg2: _T, *args: _T, key: Callable[[_T], Any] = None) -> _T: ...
 @overload
-def min(iterable: Iterable[_T], key: Callable[[_T], Any] = None) -> _T: ...
+def min(iterable: Iterable[_T], key: Callable[[_T], Any] = None, default:_T = None) -> _T: ...
 @overload
 def next(i: Iterator[_T]) -> _T: ...
 @overload