diff --git a/src/test/java/com/fasterxml/jackson/failing/ExceptionWithAnySetter4316Test.java b/src/test/java/com/fasterxml/jackson/failing/ExceptionWithAnySetter4316Test.java
new file mode 100644
index 0000000000..a65b004123
--- /dev/null
+++ b/src/test/java/com/fasterxml/jackson/failing/ExceptionWithAnySetter4316Test.java
@@ -0,0 +1,31 @@
+package com.fasterxml.jackson.failing;
+
+import java.util.*;
+
+import com.fasterxml.jackson.annotation.JsonAnyGetter;
+import com.fasterxml.jackson.annotation.JsonAnySetter;
+import com.fasterxml.jackson.databind.*;
+
+public class ExceptionWithAnySetter4316Test extends BaseMapTest
+{
+    static class Problem extends Exception {
+        private static final long serialVersionUID = 1L;
+
+        @JsonAnySetter
+        @JsonAnyGetter
+        Map<String, Object> additionalProperties = new HashMap<>();
+    }
+
+    private final ObjectMapper MAPPER = newJsonMapper();
+
+    // [databind#4316]
+    public void testWithAnySetter() throws Exception
+    {
+        Problem problem = new Problem();
+        problem.additionalProperties.put("key", "value");
+        String json = MAPPER.writeValueAsString(problem);
+        Problem result = MAPPER.readValue(json, Problem.class);
+        assertEquals(Collections.singletonMap("key", "value"),
+                result.additionalProperties);
+    }
+}