Difference Equation Solutions to the Valuation of Lease Contracts

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 sa...

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Bibliographic Details
Published in:Journal of financial and quantitative analysis 1984-09, Vol.19 (3), p.311-328
Main Author: Steele, Anthony
Format: Article
Language:English
Subjects:
Cash flow
Contracts
Corporate taxes
Debt capacity
Difference equations
Discount rates
Lease agreements
Leases
Linear algebra
Loan payments
Mathematical models
Present value
Tax payments
Valuation
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Summary: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.
ISSN:0022-1090
1756-6916
DOI:10.2307/2331093