Nine years ago, the Connecticut Supreme Court ruled that a ski resort couldn’t limit its liability through contractual clauses. Now the court has to decide if the banking industry can be permitted to do what the winter recreational industry cannot.

The justices heard oral arguments last month in a case, the banking industry says, could have profound influence on its future financial health. Bank of America is seeking to overturn a $823,777 verdict returned by a jury that found the financial institution liable for the money a Catholic school employee swindled from the school.