diff --git a/src/finam/interfaces.py b/src/finam/interfaces.py
index 966f42ffbc4b2447f9522c820585e89b44b2a034..30efe0ba89209cdcfec29f8b4489e3007098cb82 100644
--- a/src/finam/interfaces.py
+++ b/src/finam/interfaces.py
@@ -75,6 +75,12 @@ class IComponent(ABC):
         After each method call, the component should have :attr:`.status` :attr:`.ComponentStatus.CONNECTED` if
         connecting was completed, :attr:`.ComponentStatus.CONNECTING` if some but not all required initial input(s)
         could be pulled, and :attr:`.ComponentStatus.CONNECTING_IDLE` if nothing could be pulled.
+
+        Parameters
+        ----------
+        start_time : :class:`datetime <datetime.datetime>`
+            The composition's starting time.
+            Can be before the component's actual time.
         """
 
     @abstractmethod
diff --git a/src/finam/schedule.py b/src/finam/schedule.py
index 58301659fb1104b261227447c90611c4751beca3..17b5505b97e0d847150fc128e5789caa240ec5cd 100644
--- a/src/finam/schedule.py
+++ b/src/finam/schedule.py
@@ -144,6 +144,13 @@ class Composition(Loggable):
         """Performs the connect and validate phases of the composition
 
         If this was not called by the user, it is called at the start of :meth:`.run`.
+
+        Parameters
+        ----------
+        time : :class:`datetime <datetime.datetime>`, optional
+            Starting time of the composition.
+            If provided, it should be the starting time of the earliest component.
+            If not provided, the composition tries to determine the starting time automatically.
         """
         if self.is_connected:
             raise FinamStatusError("Composition was already connected.")
@@ -194,7 +201,12 @@ class Composition(Loggable):
 
         Parameters
         ----------
-        t_max : :class:`datetime <datetime.datetime>` or None, optional
+        t : :class:`datetime <datetime.datetime>`, optional
+            Starting time of the composition.
+            If provided, it should be the starting time of the earliest component.
+            If not provided, the composition tries to determine the starting time automatically.
+            Ignored if :meth:`.connect` was already called.
+        t_max : :class:`datetime <datetime.datetime>`, optional
             Simulation time up to which to simulate.
             Should be ``None`` if no components with time are present.
         """
diff --git a/src/finam/sdk/component.py b/src/finam/sdk/component.py
index 406a870737f54dff071644cafd479a091957e7ed..7cbcd05007b66cb4c0518fb57669662ada1c589a 100644
--- a/src/finam/sdk/component.py
+++ b/src/finam/sdk/component.py
@@ -83,6 +83,12 @@ class Component(IComponent, Loggable, ABC):
         After each method call, the component should have :attr:`.status` :attr:`.ComponentStatus.CONNECTED` if
         connecting was completed, :attr:`.ComponentStatus.CONNECTING` if some but not all required initial input(s)
         could be pulled, and :attr:`.ComponentStatus.CONNECTING_IDLE` if nothing could be pulled.
+
+        Parameters
+        ----------
+        start_time : :class:`datetime <datetime.datetime>`
+            The composition's starting time.
+            Can be before the component's actual time.
         """
         if start_time is not None and not isinstance(start_time, datetime):
             raise FinamTimeError("Time in connect must be either None or a datetime")
@@ -100,6 +106,14 @@ class Component(IComponent, Loggable, ABC):
         """Connect exchange data and metadata with linked components.
 
         Components must overwrite this method.
+
+        Parameters
+        ----------
+        start_time : :class:`datetime <datetime.datetime>`
+            The composition's starting time.
+            Can be before the component's actual time.
+
+            Should be passed to :meth:`.try_connect` calls.
         """
         raise NotImplementedError(
             f"Method `_connect` must be implemented by all components, but implementation is missing in {self.name}."
@@ -347,7 +361,7 @@ class Component(IComponent, Loggable, ABC):
         Parameters
         ----------
         time : :class:`datetime <datetime.datetime>`
-            time for data pulls
+            the composition's starting time as passed to :meth:`.Component.try_connect`
         exchange_infos : dict of [str, Info]
             currently or newly available input data infos by input name
         push_infos : dict of [str, Info]
diff --git a/src/finam/tools/connect_helper.py b/src/finam/tools/connect_helper.py
index df305a7a6a349d0cf6ed98db43e7589b3445325e..2c73d7f18b5579b39457c8c3557557c36a04cf12 100644
--- a/src/finam/tools/connect_helper.py
+++ b/src/finam/tools/connect_helper.py
@@ -340,7 +340,7 @@ class ConnectHelper(Loggable):
         Parameters
         ----------
         time : :class:`datetime <datetime.datetime>`
-            time for data pulls
+            the composition's starting time as passed to :meth:`.Component.try_connect`
         exchange_infos : dict
             currently or newly available input data infos by input name
         push_infos : dict