diff --git a/game/combat.py b/game/combat.py
index a74ff03..70f7f51 100644
--- a/game/combat.py
+++ b/game/combat.py
@@ -171,6 +171,7 @@ def level_up(player: Actor, log: MessageLog) -> None:
     while player.stats.xp >= threshold:
         level += 1
         threshold *= 2
+    level = min(level, 20)
     if level > player.stats.hd:
         log.append(f"Welcome to level {level}!")
         hp_gain = roll(level - player.stats.hd, d=10)
diff --git a/game/consumable.py b/game/consumable.py
index 572db7c..f39d491 100644
--- a/game/consumable.py
+++ b/game/consumable.py
@@ -71,7 +71,10 @@ def use(self, actor: Actor, level: Level, log: MessageLog) -> None:
 @dataclass(frozen=True, slots=True)
 class RaiseLevel(Consumable):
     def use(self, actor: Actor, level: Level, log: MessageLog) -> None:
-        actor.stats.xp = 5 * 2**actor.stats.hd + 1
+        target_xp = 10
+        while target_xp <= actor.stats.xp:
+            target_xp *= 2
+        actor.stats.xp = target_xp + 1
         log.append("You suddenly feel much more skillful.")
         level_up(actor, log)