diff --git a/tool/speed.cc b/tool/speed.cc
index 5b07921..780a7ea 100644
--- a/tool/speed.cc
+++ b/tool/speed.cc
@@ -147,6 +147,9 @@
   TimeResults results;
   if (!TimeFunction(&results,
                     [key, &sig, &fake_sha256_hash, &sig_len]() -> bool {
+        /* Usually during RSA signing we're using a long-lived |RSA| that has
+         * already had all of its |BN_MONT_CTX|s constructed, so it makes
+         * sense to use |key| directly here. */
         return RSA_sign(NID_sha256, fake_sha256_hash, sizeof(fake_sha256_hash),
                         sig.get(), &sig_len, key);
       })) {
@@ -158,6 +161,21 @@
 
   if (!TimeFunction(&results,
                     [key, &fake_sha256_hash, &sig, sig_len]() -> bool {
+        /* Usually during RSA verification we have to parse an RSA key from a
+         * certificate or similar, in which case we'd need to construct a new
+         * RSA key, with a new |BN_MONT_CTX| for the public modulus. If we were
+         * to use |key| directly instead, then these costs wouldn't be
+         * accounted for. */
+        ScopedRSA verify_key(RSA_new());
+        if (!verify_key) {
+          return false;
+        }
+        verify_key->n = BN_dup(key->n);
+        verify_key->e = BN_dup(key->e);
+        if (!verify_key->n ||
+            !verify_key->e) {
+          return false;
+        }
         return RSA_verify(NID_sha256, fake_sha256_hash,
                           sizeof(fake_sha256_hash), sig.get(), sig_len, key);
       })) {