diff --git a/doc/source/whatsnew/v0.25.0.rst b/doc/source/whatsnew/v0.25.0.rst
index c29b61c9eb448..d38ee7b8b589a 100644
--- a/doc/source/whatsnew/v0.25.0.rst
+++ b/doc/source/whatsnew/v0.25.0.rst
@@ -257,6 +257,8 @@ Deprecations
 
 - Deprecated the ``units=M`` (months) and ``units=Y`` (year) parameters for ``units`` of :func:`pandas.to_timedelta`, :func:`pandas.Timedelta` and :func:`pandas.TimedeltaIndex` (:issue:`16344`)
 - The functions :func:`pandas.to_datetime` and :func:`pandas.to_timedelta` have deprecated the ``box`` keyword. Instead, use :meth:`to_numpy` or :meth:`Timestamp.to_datetime64` or :meth:`Timedelta.to_timedelta64`. (:issue:`24416`)
+- The :meth:`DataFrame.compound` and :meth:`Series.compound` methods are deprecated and will be removed in a future version.
+
 
 .. _whatsnew_0250.prior_deprecations:
 
diff --git a/pandas/core/generic.py b/pandas/core/generic.py
index 876465d96e6fe..4999153207395 100644
--- a/pandas/core/generic.py
+++ b/pandas/core/generic.py
@@ -10177,11 +10177,14 @@ def mad(self, axis=None, skipna=None, level=None):
             nanops.nanstd)
 
         @Substitution(desc="Return the compound percentage of the values for "
-                      "the requested axis.", name1=name, name2=name2,
-                      axis_descr=axis_descr,
+                      "the requested axis.\n\n.. deprecated:: 0.25.0",
+                      name1=name, name2=name2, axis_descr=axis_descr,
                       min_count='', see_also='', examples='')
         @Appender(_num_doc)
         def compound(self, axis=None, skipna=None, level=None):
+            msg = ("The 'compound' method is deprecated and will be"
+                   "removed in a future version.")
+            warnings.warn(msg, FutureWarning, stacklevel=2)
             if skipna is None:
                 skipna = True
             return (1 + self).prod(axis=axis, skipna=skipna, level=level) - 1
diff --git a/pandas/tests/series/test_analytics.py b/pandas/tests/series/test_analytics.py
index 52a9f8ac7d722..ef6dca8d2729d 100644
--- a/pandas/tests/series/test_analytics.py
+++ b/pandas/tests/series/test_analytics.py
@@ -1145,6 +1145,15 @@ def test_validate_stat_keepdims(self):
         with pytest.raises(ValueError, match=msg):
             np.sum(s, keepdims=True)
 
+    def test_compound_deprecated(self):
+        s = Series([.1, .2, .3, .4])
+        with tm.assert_produces_warning(FutureWarning):
+            s.compound()
+
+        df = pd.DataFrame({'s': s})
+        with tm.assert_produces_warning(FutureWarning):
+            df.compound()
+
 
 main_dtypes = [
     'datetime',