N.H. Rev. Stat. Ann. § 479-A:24

The manager or the board of directors if required by the declaration, bylaws or by a majority of the unit owners, or at the request of a mortgagee having a first mortgage of record covering a unit, shall have the authority to, and shall, obtain insurance for the property against loss or damage by fire and such other hazards under such terms and for such amounts as shall be required or requested. Such insurance coverage shall be written on the property in the name of such manager or of the board of directors of the association of unit owners as trustee for each of the unit owners in the percentages established in the declaration. Premiums shall be common expenses. Provision for such insurance shall be without prejudice to the right of each unit owner to insure his own unit for his benefit.