diff --git a/CHANGELOG.md b/CHANGELOG.md
index 7036b89..9c39c75 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -6,6 +6,11 @@ All notable changes to this project will be documented in this file.
 
 - Removed: Support for PHP 7.2
 
+## 0.8.1
+
+- Fixed: Throw a `KeyException` when loading an invalid PEM-encoded
+  RSAKey
+
 ## 0.8.0
 
 - Added: Support for `Ed25519` signatures and `X25519` key derviation
diff --git a/src/SimpleJWT/Keys/RSAKey.php b/src/SimpleJWT/Keys/RSAKey.php
index e2cb2b0..2b8d765 100644
--- a/src/SimpleJWT/Keys/RSAKey.php
+++ b/src/SimpleJWT/Keys/RSAKey.php
@@ -119,6 +119,8 @@ public function __construct($data, $format, $password = null, $alg = 'PBES2-HS25
                     $jwk['dp'] = Util::base64url_encode($seq->getChildAt(6)->getValueAsUIntOctets());
                     $jwk['dq'] = Util::base64url_encode($seq->getChildAt(7)->getValueAsUIntOctets());
                     $jwk['qi'] = Util::base64url_encode($seq->getChildAt(8)->getValueAsUIntOctets());
+                } else {
+                    throw new KeyException('Unrecognised key format');
                 }
 
                 parent::__construct($jwk);