VIKOR Method with Application to Borrowing Terms Selection
Abstract
The main aim of the chapter is presenting the VIKOR method and selecting the best borrowing alternative according to the given criteria, assuming it is decided that borrowing is necessary. The VIKOR method is introduced as one applicable technique to implement within multiple criteria decision making. It focuses on ranking and selecting from a set of alternatives, and determines compromise solutions for a problem with conflicting criteria, which can help the decision makers to reach a final decision. The compromise solution is a feasible solution that is the “closest” to the ideal solution. Here, compromise means an agreement established by mutual concessions. The method compromises conflicting criteria, and group utility with individual regret. To apply the VIKOR method, the borrowing alternatives should be evaluated in terms of established criteria for the stated problem. The alternatives are generated with the values of the following instruments: interest rate, maturity, currency, grace period and repayment schedule, based on the elements offered by potential creditors. The criteria for decision are: borrowing cost, market risk, and liquidity risk. Uncertainties related to this analysis are treated by planning and analyzing scenarios. Vague and imprecise data are treated using fuzzy numbers. The criterion functions are formulated and their numerical values are determined for all alternatives. The alternatives are ranked by the method VIKOR and the compromise solution is determined.
Keywords
Borrowing terms Multicriteria decision Compromise VIKOR methodReferences
- Balibek, E. (2008). Multi-objective approaches to public debt management. Ph.D. Dissertation, Department of Operational Research, Graduate School of Natural and Applied Sciences, Middle East Technical University, Turkey. http://etd.lib.metu.edu.tr/upload/12609305/index.pdf
- Bellman, R. E., & Zadeh, L. A. (1970). Decision-making in a fuzzy environment. Management Science, 17, 141–164.MathSciNetCrossRefGoogle Scholar
- Butler, J., Morrice, D. J., & Mullarkey, P. W. (2001). A multiple attribute utility theory approach to ranking and selection. Management Science, 47(6), 800–816.CrossRefMATHGoogle Scholar
- Caner, M., Grennes, Т., & Koehler-Geib, F. (2010). Finding the tipping point—When Sovereign debt turns bad (Working Paper 5391). The World Bank. http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1612407
- Clements, B., Bhattacharya, R., & Nguyen, T. Q. (2003). External debt, public investment, and growth in low-income countries (Working Paper WP/03/249). International Monetary Fund. http://www.imf.org/external/pubs/ft/wp/2003/wp03249.pdf
- Detyniecki, M., & Yager, R. (2000). Ranking fuzzy numbers using α-weighted valuations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8(5), 573–591.MathSciNetCrossRefMATHGoogle Scholar
- Duckstein, L., & Opricovic, S. (1980). Multiobjective optimization in river basin development. Water Resources Research, 16(1), 14–20.CrossRefADSGoogle Scholar
- Heching, A., & King, A. (2009). Financial engineering. In R. Ravindran (Ed.), Operations research applications. New York: CRC.Google Scholar
- Interest rates: EURIBOR 6M: http://www.euribor-rates.eu/euribor-rates-by-year.asp. LIBOR CHF 3M: http://www.econstats.com/r/rlib__d4.htm, LIBOR USD 6M: http://www.econstats.com/r/rlib__d1.htm, LIBOR EUR 6M: http://www.econstats.com/r/rlib__d9.htm
- Keeney, R., & Raiffa, H. (1976). Decisions with multiple objectives—Preferences and value tradeoffs. New York: Wiley.Google Scholar
- Lane, L. R., & Milesi-Ferretti, G. M. (2006). Capital flows to Central and Eastern Europe (Working Paper WP/06/188). International Monetary Fund. http://www.imf.org/external/pubs/ft/wp/2006/wp06188.pdf
- Manasse, P., & Roubini, N. (2005). “Rules of thumb” for Sovereign debt crises (Working Paper WP/05/42). International Monetary Fund. http://www.imf.org/external/pubs/cat/longres.aspx?sk=17889.0
- Markowitz, H. M. (1952). Portfolio selection. Journal of Finance, VIII(1), 77–91.Google Scholar
- Opricovic, S. (2011). Fuzzy VIKOR with an application to water resources planning. Expert Systems with Applications, 38, 12983–12990.CrossRefGoogle Scholar
- Opricovic, S., & Tzeng, G. H. (2004). The compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156(2), 445–455.CrossRefMATHGoogle Scholar
- Opricovic, S., & Tzeng, G. H. (2007). Extended VIKOR method in comparison with outranking methods. European Journal of Operational Research, 178(2), 514–529.CrossRefMATHGoogle Scholar
- Ribeiro, R. A. (1996). Fuzzy multiple attribute decision making: A review and new preference elicitation techniques. Fuzzy Sets and Systems, 78, 155–181.MathSciNetCrossRefMATHGoogle Scholar
- Saaty, T. L. (2001). Fundamentals of decision making and priority theory (The analytic network process 2nd ed.). Pittsburgh, PA: RWS.Google Scholar
- Sawaragi, Y., Nakayama, H., & Tanino, T. (1985). Theory of multiobjective optimization. New York: Academic Press.MATHGoogle Scholar
- Scenario planning, from Wikipedia. http://en.wikipedia.org/wiki/Scenario_planning
- Vincke, P. (1992). Multicriteria decision-aid. New York: Wiley.Google Scholar
- Wijnmalen, D. J. D. (2007). Analysis of benefits, opportunities, costs, and risks (BOCR) with the AHP–ANP: A critical validation. Mathematical and Computer Modelling, 46, 892–905.MathSciNetCrossRefMATHGoogle Scholar
- Yazdani, M., & Graemi, F. R. (2014). VIKOR and its applications: A state-of-the-art survey. International Journal of Strategic Decision Sciences, 5(2), 56–83.CrossRefGoogle Scholar
- Yu, P.-L. (1973). A class of solutions for group decision problems. Management Science, 19(8), 936–946.CrossRefMATHGoogle Scholar
- Zeleny, M. (1982). Multiple criteria decision making. New York: McGraw-Hill.MATHGoogle Scholar