diff --git a/av1/encoder/ratectrl.c b/av1/encoder/ratectrl.c
index f0a107d..7a895ca 100644
--- a/av1/encoder/ratectrl.c
+++ b/av1/encoder/ratectrl.c
@@ -1486,10 +1486,11 @@
   } else {
     // For very small rate targets where the fractional adjustment
     // may be tiny make sure there is at least a minimum range.
-    const int tolerance = (cpi->sf.hl_sf.recode_tolerance * frame_target) / 100;
-    *frame_under_shoot_limit = AOMMAX(frame_target - tolerance - 200, 0);
+    const int tolerance =
+        AOMMAX(100, (cpi->sf.hl_sf.recode_tolerance * frame_target) / 100);
+    *frame_under_shoot_limit = AOMMAX(frame_target - tolerance, 0);
     *frame_over_shoot_limit =
-        AOMMIN(frame_target + tolerance + 200, cpi->rc.max_frame_bandwidth);
+        AOMMIN(frame_target + tolerance, cpi->rc.max_frame_bandwidth);
   }
 }