7. Conclusion
As the modern leasing industry develops, leasing grows in popularity. Since the decision maker usually cannot determine the exact length of time the equipment will be needed, we explore the wellestablished techniques of the online competitive analysis method to find the optimal strategy. However, all of previous research into the lease option considers only operating leases. In practice, there is another important type of lease: the financial lease. The key feature of a financial lease is that the lessee may obtain ownership of the equipment after the lease period. This paper develops the optimal strategy between leasing and financial leasing using competitive analysis. We divide financial leasing according to whether there is a down payment and present the optimal competitive strategy for each case. Finally we summarize and present the optimal strategies with simple decision rules. In our future research, we plan to introduce the rate factor and consider more general models.