diff --git a/activesupport/CHANGELOG.md b/activesupport/CHANGELOG.md
index 3785cbb179e53..d748f43718a0f 100644
--- a/activesupport/CHANGELOG.md
+++ b/activesupport/CHANGELOG.md
@@ -1,3 +1,7 @@
+*   Fix a range of values for parameters of the Time#change
+
+    *Nikolay Kondratyev*
+
 *   Add some missing `require 'active_support/deprecation'`
 
     *Akira Matsuda*
diff --git a/activesupport/lib/active_support/core_ext/time/calculations.rb b/activesupport/lib/active_support/core_ext/time/calculations.rb
index ab8307429ab88..5d60ede5fe254 100644
--- a/activesupport/lib/active_support/core_ext/time/calculations.rb
+++ b/activesupport/lib/active_support/core_ext/time/calculations.rb
@@ -94,7 +94,7 @@ def change(options)
     elsif zone
       ::Time.local(new_year, new_month, new_day, new_hour, new_min, new_sec, new_usec)
     else
-      raise ArgumentError, 'argument out of range' if new_usec > 999999
+      raise ArgumentError, 'argument out of range' if new_usec >= 1000000
       ::Time.new(new_year, new_month, new_day, new_hour, new_min, new_sec + (new_usec.to_r / 1000000), utc_offset)
     end
   end
diff --git a/activesupport/test/core_ext/time_ext_test.rb b/activesupport/test/core_ext/time_ext_test.rb
index d59775001bebb..62868d146bff4 100644
--- a/activesupport/test/core_ext/time_ext_test.rb
+++ b/activesupport/test/core_ext/time_ext_test.rb
@@ -149,6 +149,9 @@ def test_end_of_day
       assert_equal Time.local(2006,3,19,23,59,59,Rational(999999999, 1000)), Time.local(2006,3,19,10,10,10).end_of_day, 'ends DST'
       assert_equal Time.local(2006,10,1,23,59,59,Rational(999999999, 1000)), Time.local(2006,10,1,10,10,10).end_of_day, 'start DST'
     end
+    with_env_tz 'Asia/Yekaterinburg' do
+      assert_equal Time.local(2015, 2, 8, 23, 59, 59, Rational(999999999, 1000)), Time.new(2015, 2, 8, 8, 0, 0, '+05:00').end_of_day
+    end
   end
 
   def test_end_of_hour
@@ -389,6 +392,7 @@ def test_change
     assert_equal Time.local(2005,1,2,11,22,33, 8), Time.local(2005,1,2,11,22,33,44).change(:usec => 8)
     assert_equal Time.local(2005,1,2,11,22,33, 8), Time.local(2005,1,2,11,22,33,2).change(:nsec => 8000)
     assert_raise(ArgumentError) { Time.local(2005,1,2,11,22,33, 8).change(:usec => 1, :nsec => 1) }
+    assert_nothing_raised(ArgumentError) { Time.new(2015, 5, 9, 10, 00, 00, '+03:00').change(nsec: 999999999) }
   end
 
   def test_utc_change