diff --git a/index.js b/index.js
index 41e1cd3..ad2b6cc 100644
--- a/index.js
+++ b/index.js
@@ -57,7 +57,7 @@ function rangeParser (size, str, options) {
     var end = parsePos(endStr)
 
     if (startStr.length === 0) {
-      start = size - end
+      start = Math.max(size - end, 0)
       end = size - 1
     } else if (endStr.length === 0) {
       end = size - 1
@@ -74,7 +74,7 @@ function rangeParser (size, str, options) {
     }
 
     // skip unsatisfiable ranges
-    if (start > end || start < 0) {
+    if (start > end) {
       valid = true
       continue
     }
diff --git a/test/range-parser.js b/test/range-parser.js
index 9f2c483..5147754 100644
--- a/test/range-parser.js
+++ b/test/range-parser.js
@@ -109,6 +109,18 @@ describe('parseRange(len, str)', function () {
     deepEqual(range[0], { start: 600, end: 999 })
   })
 
+  it('should be unsatisfiable asking for -0', function () {
+    var range = parse(1000, 'bytes=-0')
+    assert.strictEqual(range, -1)
+  })
+
+  it('should use the whole representation when the suffix-length is larger', function () {
+    var range = parse(100, 'bytes=-101')
+    assert.strictEqual(range.type, 'bytes')
+    assert.strictEqual(range.length, 1)
+    deepEqual(range[0], { start: 0, end: 99 })
+  })
+
   it('should parse str with only start', function () {
     var range = parse(1000, 'bytes=400-')
     assert.strictEqual(range.type, 'bytes')