diff --git a/coders/jpeg.c b/coders/jpeg.c
index 319c45e..9408d23 100644
--- a/coders/jpeg.c
+++ b/coders/jpeg.c
@@ -2251,9 +2251,9 @@
           (void) DeleteImageOption(jpeg_info,"jpeg:extent");
           (void) AcquireUniqueFilename(jpeg_image->filename);
           maximum=101;
-          for (minimum=0; minimum != maximum; )
+          for (minimum=2; minimum != maximum; )
           {
-            jpeg_image->quality=minimum+(maximum-minimum)/2;
+            jpeg_image->quality=minimum+(maximum-minimum+1)/2;
             status=WriteJPEGImage(jpeg_info,jpeg_image,exception);
             if (GetBlobSize(jpeg_image) <= extent)
               minimum=jpeg_image->quality+1;