Conn. Gen. Stat. § 45a-289: (Formerly Sec. 45-169). When bond required of executor. Amount of bond. Reduction of bond.

(a) A probate bond shall be required of an executor, unless such bond is excused as provided by law.

(b) If the will designates a person to be an executor and directs that no bond or that a bond of a certain amount only shall be required of such executor, the Probate Court shall follow such provisions of the will if no objection to such provisions has been filed, provided, if an objection has been filed or the Court of Probate determines that for cause shown the filing of a bond is necessary for the protection of creditors or to assure the payment of succession taxes, or both, a bond shall be required in an amount which shall not be less than an amount equal to twice the amount of the debts of the deceased as estimated by the court or to the amount of the tax on any untaxed property plus the succession tax as estimated by the court or to the amount named in the will, whichever of such amounts is the greatest.