diff --git a/conservancy_beancount/reports/core.py b/conservancy_beancount/reports/core.py
index cf5a39a7ca440f6073cfa68165533c37ceccc5ab..6b2845c70f7b3fcf29aef1af8c603fee4ab62ba0 100644
--- a/conservancy_beancount/reports/core.py
+++ b/conservancy_beancount/reports/core.py
@@ -132,10 +132,12 @@ class Balance(Mapping[str, data.Amount]):
         return type(self)(retval_map.values())
 
     def __eq__(self, other: Any) -> bool:
-        if (self.is_zero()
-            and isinstance(other, Balance)
-            and other.is_zero()):
-            return True
+        if isinstance(other, Balance):
+            clean_self = self.clean_copy()
+            clean_other = other.clean_copy()
+            return len(clean_self) == len(clean_other) and all(
+                clean_self[key] == clean_other.get(key) for key in clean_self
+            )
         else:
             return super().__eq__(other)
 
@@ -160,6 +162,17 @@ class Balance(Mapping[str, data.Amount]):
     ) -> bool:
         return all(op_func(amt.number, operand) for amt in self.values())
 
+    def copy(self: BalanceType) -> BalanceType:
+        return type(self)(self.values())
+
+    def clean_copy(self: BalanceType, tolerance: Optional[Decimal]=None) -> BalanceType:
+        if tolerance is None:
+            tolerance = self.tolerance
+        return type(self)(
+            amount for amount in self.values()
+            if abs(amount.number) >= tolerance
+        )
+
     @staticmethod
     def within_tolerance(dec: DecimalCompat, tolerance: DecimalCompat) -> bool:
         dec = cast(Decimal, dec)