Difference Equation Solutions to the Valuation of Lease Contracts
在MDB和FH的租赁估值模型基础上,用差分方程处理复杂税收情形,给出调整贴现率的简单解法,帮助分析暂时不纳税的承租人参与租赁合约的估值。
In recent articles, Myers, Dill, and Bautista [15] (MDB) and Franks and Hodges [7] (FH) provide valuable contributions to the leasing literature. MDB derive a simple formula for lease valuation in a Modigliani-Miller world with corporate taxes. The paper by FH presents a simpler derivation of the same formula. FH also extend MDB's analysis to consider the empirically significant case of a lessee company currently in a non-tax-paying position, but which expects to resume paying taxes at some (specified) future date. The work of FH is important here in laying bare the economics of leasing. Temporary non-tax-paying lessees joining tax-paying lessors in non-zero-sum contracts; however, their paper leaves the problem as a programming application. This paper explores the difference equations underlying the MDB-FH approach for finding the adjusted present value of the lease contract. It is found that the order of the system of difference equations depends on the treatment of taxation complexities. Also described is a simple procedure for solving these higher-order difference equations to find the appropriate adjusted discount rates to use in MDB's lease valuation formula, extending its application to these more complex tax situations. The paper is set out in six sections.