diff --git a/bitcoin/src/blockdata/transaction.rs b/bitcoin/src/blockdata/transaction.rs
index 678ac8d21..2a3da7b46 100644
--- a/bitcoin/src/blockdata/transaction.rs
+++ b/bitcoin/src/blockdata/transaction.rs
@@ -1700,7 +1700,8 @@ mod tests {
     fn effective_value_fee_rate_does_not_overflow() {
         let eff_value =
             effective_value(FeeRate::MAX, InputWeightPrediction::P2WPKH_MAX, Amount::ZERO);
-        assert_eq!(eff_value, SignedAmount::MIN)
+        let want = SignedAmount::from_sat(-1254378597012250).unwrap(); // U64::MAX / 4_000 because of FeeRate::MAX
+        assert_eq!(eff_value, want)
     }
 
     #[test]
diff --git a/units/src/fee_rate/mod.rs b/units/src/fee_rate/mod.rs
index 31fae382d..84e8d9f86 100644
--- a/units/src/fee_rate/mod.rs
+++ b/units/src/fee_rate/mod.rs
@@ -30,7 +30,7 @@ impl FeeRate {
     pub const MIN: FeeRate = FeeRate::ZERO;
 
     /// Maximum possible value.
-    pub const MAX: FeeRate = FeeRate::from_sat_per_kwu(u64::MAX);
+    pub const MAX: FeeRate = FeeRate::from_sat_per_kwu(u64::MAX / 4_000);
 
     /// Minimum fee rate required to broadcast a transaction.
     ///
@@ -271,7 +271,7 @@ mod tests {
     fn fee_rate_const() {
         assert_eq!(FeeRate::ZERO.to_sat_per_kwu_floor(), 0);
         assert_eq!(FeeRate::MIN.to_sat_per_kwu_floor(), u64::MIN);
-        assert_eq!(FeeRate::MAX.to_sat_per_kwu_floor(), u64::MAX);
+        assert_eq!(FeeRate::MAX.to_sat_per_kwu_floor(), u64::MAX / 4_000);
         assert_eq!(FeeRate::BROADCAST_MIN.to_sat_per_kwu_floor(), 250);
         assert_eq!(FeeRate::DUST.to_sat_per_kwu_floor(), 750);
     }