A state public body may do any of the following:
(a)
Any and all things, necessary or convenient, to aid and cooperate in the planning, undertaking, construction, or operation of housing projects.
(b)
Purchase or legally invest in any of the bonds of a housing authority and exercise all of the rights of any holder of the bonds.
(c)
Enter into leases or installment payment contracts without any limitation on the duration thereof for the purpose of aiding and cooperating with a housing authority in financing the acquisition, planning, undertaking, construction, or operation of land on which mobilehomes or a mobilehome park are, or may be, located, and exercise any powers with respect to that financing and land as it may exercise with respect to housing projects, if the requirements of subdivision (h) of Section 34312 are satisfied with respect to the percentage of occupancy by persons of low income.