Analysis of Lease Financing under Inflation

Teemu Aho and Ilkka Virtanen

Summary

This paper has analysed the lease-vs.-buy profitability comparisons using the present value method. The model does not take into account the scrap value of the investment. This exclusion can be justified by the fact that in practice it is possible for the firm to buy the leased machine at the end of the lease period. If this takes place, the final scrap values of the investment can be assumed to be equal in both alternatives, and do not therefore affect the difference between the respective present values of costs of finance. The price that the firm under the lease alternative actually pays for the machine at the end of the lease period should be incorporation in calculating the present value of leasing costs. However, this item is so negligible in relation to lease payments, that its omission was considered justified for reasons of clarity. Further support for this decision is provided by the fact that the present value of this purchase price becomes a fraction of its nominal magnitude when inflation and time factors are taken into account.

Defining the discount rates to be used in the calculations is an important question in the present value method. Different discount rates have been used in discounting flows with different degrees of riskiness attached to them in order to arrive at one single present value. The methods of determining these discount rates are, however, still controversial. For this reason, and for the sake of expositional clarity, it was considered justified to use one discount rate only in constructing the present model.

Comparing the results of this model with the previous studies is difficult because of the scarcity of lease-vs.-buy comparison models with inflation incorporated. This stands in marked contrast with the wealth of studies that analyse inflation and its incorporation into the present value method in general. As is evident from the present paper, inflation can be taken into account in calculating the present values for the alternatives in a relatively clear-cut manner.

The numerical analysis of the model was mainly restricted to one investment decision, in which the structure of finance, tax rate, type of loan and method of depreciation were allowed to take different values. The diagrams or nomographs that were used in summarising the results of the analysis can, however, be seen as important even more generally. If the firm applies the present value model constructed here in its lease-vs.-buy comparisons, it is possible, after the parameters are fixed, to design the nomographs specifically according to the requirements of each investment problem.

(The Finnish Journal of Business Economics 3-1981, 239-277.)