Abstract
As an important financing tool, the financial lease can help the lessee obtain the ownership of equipment after paying the rent till the expiration of the lease. Because the lessee does not know the exact length of using the equipment, the financial leasing problem can be viewed as an on-line problem. In this paper, we consider the on-line financial leasing problem with an interest rate where there are two lease options: financial lease and operating lease. We first discuss the traditional deterministic optimal competitive strategy by competitive analysis method. Next, we introduce the risk tolerance and forecast of the decision maker(the lessee) into this problem and acquire the optimal risk–reward strategy. Finally, we give numerical examples and the results show that the introduction of the interest rate and risk tolerance has a significant influence on the deterministic optimal strategy and risk–reward strategy.
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White, E.: White Clarke Global Leasing Report. White Clarke Group, Buckinghamshire (2016)
Borodin, A., El-Yaniv, R.: Online Algorithms and Competitive Analysis. Cambridge University Press, Cambridge (1998)
Alvers, S.: Online algorithms: a survey. Math. Program. 97, 3–26 (2003)
Karp, R.: Online algorithms versus offline algorithms: how much is it worth to know the future? In: IFIP 12th World Computer Congress, pp. 416–429. North-Holland Publishing Co., Amsterdam (1992)
El-Yaniv, R., Kaniel, R., Linial, N.: Competitive optimal online leasing. Algorithmica 25, 116–140 (1999)
Xu, Y.F., Xu, W.J., Li, H.Y.: On the on-line rent-or-buy problem in probabilistic environments. J. Glob. Optim. 38(1), 1–20 (2007)
Epstein, L., Zebedat-Haider, H.: Rent or buy problems with a fixed time horizon. Theory Comput. Syst. 56(2), 309–329 (2015)
Lotker, Z., Patt-Shamir, B., Rawitz, D.: Rent, lease, or buy: randomized algorithms for multislope ski rental. SIAM J. Discret. Math. 26(2), 718–736 (2012)
Fujiwara, H., Kitano, T., Fujito, T.: On the best possible competitive ratio for the multislope ski-rental problem. J. Comb. Optim. 31(2), 463–490 (2016)
Al-Binali, S.: A risk-reward framework for the competitive analysis of financial games. Algorithmica 25, 99–115 (1999)
Zhang, Y., Zhang, W.G., Xu, W.J., Li, H.Y.: A risk-reward model for the on-line leasing of depreciable equipment. Inf. Process. Lett. 111(6), 256–261 (2011)
Dai, W.Q., Dong, Y.C., Zhang, X.T.: Competitive analysis of the online financial lease problem. Eur. J. Oper. Res. 250, 865–873 (2016)
Acknowledgments
This paper was financially supported by the National Natural Science Foundation of China under Grant no. 71471065.
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Chen, X., Xu, W. (2017). A Risk–Reward Model for On-line Financial Leasing Problem with an Interest Rate. In: Xiao, M., Rosamond, F. (eds) Frontiers in Algorithmics. FAW 2017. Lecture Notes in Computer Science(), vol 10336. Springer, Cham. https://doi.org/10.1007/978-3-319-59605-1_7
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DOI: https://doi.org/10.1007/978-3-319-59605-1_7
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