diff --git a/stdlib/3.4/asyncio/futures.pyi b/stdlib/3.4/asyncio/futures.pyi
index 5de3327de..37e72a157 100644
--- a/stdlib/3.4/asyncio/futures.pyi
+++ b/stdlib/3.4/asyncio/futures.pyi
@@ -1,4 +1,4 @@
-from typing import Any, Callable, TypeVar, List, Generic, Iterable, Iterator
+from typing import Any, Union, Callable, TypeVar, List, Generic, Iterable, Generator
 from asyncio.events import AbstractEventLoop
 # __all__ = ['CancelledError', 'TimeoutError',
 #            'InvalidStateError',
@@ -10,16 +10,16 @@ _T = TypeVar('_T')
 
 class _TracebackLogger:
     __slots__ = [] # type: List[str]
-    exc = ...  # type: Exception
+    exc = ...  # type: BaseException
     tb = [] # type: List[str]
     def __init__(self, exc: Any, loop: AbstractEventLoop) -> None: ...
     def activate(self) -> None: ...
     def clear(self) -> None: ...
     def __del__(self) -> None: ...
 
-class Future(Iterator[_T], Generic[_T]):
+class Future(Iterable[_T], Generic[_T]):
     _state = ...  # type: str
-    _exception = ... # type: Exception
+    _exception = ... # type: BaseException
     _blocking = False
     _log_traceback = False
     _tb_logger = _TracebackLogger
@@ -31,11 +31,10 @@ class Future(Iterator[_T], Generic[_T]):
     def cancelled(self) -> bool: ...
     def done(self) -> bool: ...
     def result(self) -> _T: ...
-    def exception(self) -> Any: ...
+    def exception(self) -> BaseException: ...
     def add_done_callback(self, fn: Callable[[Future[_T]], Any]) -> None: ...
     def remove_done_callback(self, fn: Callable[[Future[_T]], Any]) -> int: ...
     def set_result(self, result: _T) -> None: ...
-    def set_exception(self, exception: Any) -> None: ...
+    def set_exception(self, exception: Union[type, BaseException]) -> None: ...
     def _copy_state(self, other: Any) -> None: ...
-    def __iter__(self) -> Iterator[_T]: ...
-    def __next__(self) -> _T: ...
+    def __iter__(self) -> Generator[Any, None, _T]: ...