Del. Code tit. 12 § 1523
If bond is required and the provisions of the will or court order do not specify the amount, the amount of the bond shall be fixed by the Register of Wills in an amount which shall not be less than the best estimate that can be made of the decedent's personal estate. The personal representative shall execute and file with the Register a bond with surety, or with other suitable security in an amount not less than the bond. The Register shall determine that the bond is duly executed by a corporate surety, or 1 or more individual sureties whose performance is secured by pledge of personal property, mortgage on real estate or other adequate security. On petition of the personal representative or other interested persons, the Court of Chancery may excuse a requirement of bond, increase or reduce the amount of the bond, release sureties or permit the substitution of another bond with the same or different sureties. In increasing or decreasing the amount of the bond the Court shall take into account, inter alia, whether the will excuses the requirement of bond.
12 Del. C. § 1523