In both cases, the lessor owns the asset, not you, and
rents it to you. As with any other rental agreement, you
return the asset at the end of the lease to the lessor.
Some leases grant you an end-of-lease option to renew the
lease at a minimal cost (secondary period) or to sell the
asset to a third party as agent of the lessor.
Often equipment manufacturers themselves act as lessors
or have an affiliated leasing company. This allows them
to more easily help their customers finance transactions.
The other two groups of lessors are banks and independent
leasing companies.