Developing a two-stage multi-period stochastic model for asset and liability management: A real case study in a commercial bank of Iran

Document Type : Article

Authors

Department of Industrial Engineering & Management Systems, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave., 15916-34311, Tehran, Iran

Abstract

In this paper, a novel two-stage multi-period stochastic model is developed to obtain a comprehensive plan. This plan aims to manage the assets and liabilities such that all legal and budget constraints are satisfied. Assets in the model include short- and long-term loans with reasonable interest rates, investments in the stock market, varied bonds with different expirations, investments in other banks, and the legal budget in the Central Bank. However, liabilities encompass all types of sight and investment deposits with different maturities. In the model, each type of deposit's amount is considered a decision variable, while its total amount is assumed to be stochastic. The mathematical model is constructed in an innovative way such that all previous loans and bonds with possible transactions in the planning horizon could be considered initial parameters. Real data for a commercial bank in Tehran, the Islamic Republic of Iran capital, are used to construct and check the optimization model. The total revenues obtained through the mathematical model and one achieved based on the experiences of financial experts in the commercial bank for four years are compared.

Keywords


References:
1. Josa-Fombellida, R. and Rincón-Zapatero, J.P. “Stochastic pension funding when the benefit and the risky asset follow jump diffusion processes”, European Journal of Operational Research, 220(2), pp. 404-413 (2012). DOI: https://doi.org/10.1016/j.ejor.2012.01.033.
2. Gülpinar, N. and Pachamanova, D. “A robust optimization approach to asset-liability management under time-varying investment opportunities”, Journal of Banking & Finance, 37(6), pp. 2031-2041 (2013). DOI: https://doi.org/10.1016/j.jbankfin.2013.01.025.
3. Frangos, C., Zenios, S. A,. and Yavin, Y. “Computation of feasible portfolio controlstrategies for an insurance company using a discrete time asset/liability model”, Mathematical and Computer Modelling, 40(3-4), pp. 423-446 (2004). DOI: https://doi.org/10.1016/j.mcm.2003.07.013.
4. Consiglio, A., Saunders, D., and Zenios, S.A. “Asset and liability management for insurance products with minimum guarantees: The UK case”, Journal of Banking & Finance, 30(2), pp. 645-667 (2006). DOI: https://doi.org/10.1016/j.jbankfin.2005.04.009.
5. Asimit, A.V., Badescu, A.M., Siu, T.K., et al. “Capital requirements and optimal investment with solvency probability constraints”. IMA Journal of Management Mathematics, 26(4), pp. 345-375 (2015).
6. Asanga, S., Asimit, A., Badescu, A., et al. “Portfolio optimization under solvency constraints: a dynamical approach”, North American Actuarial Journal, 18(3), pp. 394-416 (2014).
7. Rao, H.V., Dutta, G., and Basu, S. “New asset liability management model with decision support system for life insurance companies: interface design issues for database and mathematical models”, International Journal of Revenue Management, 10(3-4), pp. 259-289 (2018). DOI: https://doi.org/10.1080/10920277.2014.910127.
8. Dutta, G., Rao, H.V., Basu, S., et al. “Asset liability management model with decision support system for life insurance companies: Computational results”, Computers and Industrial Engineering, 128, pp. 985-998 (2019). https://doi.org/10.1016/j.cie.2018.06.033.
9. Mukuddem-Petersen, J. and Petersen, M.A. “Optimizing asset and capital adequacy management in banking”, Journal of Optimization Theory and Applications, 137(1), pp. 205-230 (2008).
10. Uryasev, S., Theiler, U.A., and Serraino, G. “Risk‐return optimization with different risk‐aggregation strategies”, The Journal of Risk Finance, 11(2), pp. 129-146 (2010).
11. Date, P., Canepa, A., and Abdel-Jawad, M. “A mixed integer linear programming model for optimal sovereign debt issuance”, European Journal of Operational Research, 214(3), pp. 749-758 (2011). https://doi.org/10.1016/j.ejor.2011.04.034.
12. Consiglio, A., and Staino, A. “A stochastic programming model for the optimal issuance of government bonds”, Annals of Operations Research, 193(1), pp. 159-172 (2012). https://doi.org/10.1007/s10479-010-0755-5.
13. Valladão, D.M., Veiga, Á., and Veiga, G. “A multistage linear stochastic programming model for optimal corporate debt management”, European Journal of Operational Research, 237(1), pp. 303-311 (2014). https://doi.org/10.1016/j.ejor.2014.01.028.
14. Abdollahi, H. “Multi-objective programing for Bank’s asset-liability management: The case of Iranian Banking industry”, International Journal of Industrial Engineering & Production Research, 31(1), pp. 75-85 (2020).
15. Nielsen, S.S. and Poulsen, R. “A two-factor, stochastic programming model of Danish mortgage-backed securities”, Journal of Economic Dynamics and Control, 28(7), pp. 1267-1289 (2004). https://doi.org/10.1016/S0165-1889(03)00115-5.
16. Consiglio, A., Cocco, F., and Zenios, S.A. “Scenario optimization asset and liability modelling for individual investors”. Annals of Operations Research, 152(1), 167 (2007).
17. Pedersen, A.M.B., Weissensteiner, A., and Poulsen, R. “Financial planning for young households”, Annals of Operations Research, 205(1), pp. 55-76 (2013).
18. Zenios, S.A., and Ziemba, W.T. Handbook of Asset and Liability Management, 1, Theory and Methodology North-Holland (2006).
19. Zenios, S.A., and Ziemba, W.T. (Eds.). Handbook of Asset and Liability Management: Applications and Case Studies, Elsevier (2007).
20. Chambers, D., and Charnes, A. “Inter-temporal analysis and optimization of bank portfolios”, Management Science, 7(4), pp. 393-410 (1961). DOI: https://doi.org/10.1287/mnsc.7.4.393.
21. Francis, J.C. “Portfolio analysis of asset and liability management in small-, medium-and large-sized banks”, Journal of Monetary Economics, 4.3, pp. 459-480 (1978).
22. Cohen, K.J., and Hammer, F.S. “Linear programming and optimal bank asset management decisions”, The Journal of Finance, 22(2), pp. 147-165 (1967). DOI: https://doi.org/10.2307/2325551.
23. Fielitz, B. D., and Loeffler, T.A. “A linear programming model for commercial bank liquidity management”. Financial Management, pp. 41-50 (1979). DOI: https://doi.org/10.2307/3665037.
24. Eatman, J.L., and Sealey, C.W. “A spectral analysis of aggregate commercial bank liability management and its relationship to short-run earning asset behavior”, Journal of Financial and Quantitative Analysis, 12(5), pp. 767-778 (1977). DOI: https://doi.org/10.2307/2330255.
25. Giokas, D., and Vassiloglou, M. “A goal programming model for bank assets and liabilities management”, European Journal of Operational Research, 50(1), pp. 48-60 (1991). DOI: https://doi.org/10.1016/0377-2217(91)90038-W.
26. Abdollahi, H. “Multi-objective programing for bank’s asset-liability management: The case of Iranian banking industry”, International Journal of Industrial Engineering and Production Research, 31(1), pp. 75-85 (2020).
27. Devjak, S., and Bogataj, L. “Optimisation of short term commercial bank loans to corporates in terms of financing operating activities in Slovenia”, Central European Journal of Operations Research, 15(4), pp. 393-403 (2007).
28. Robinson, R.S. “BANKMOD: An interactive simulation aid for bank financial planning”, Journal of Bank Research, 4(3), pp. 212-224 (1973).
29. Pyle, D.H. “On the theory of financial intermediation”, The Journal of Finance, 26(3), pp. 737-747 (1971). DOI: https://doi.org/10.2307/2325957.
30. Yao, H., Zeng, Y., and Chen, S. “Multi-period mean–variance asset–liability management with uncontrolled cash flow and uncertain time-horizon”, Economic Modelling, 30, pp. 492-500 (2013). DOI: https://doi.org/10.1016/j.econmod.2012.10.004.
31. Wei, J., Wong, K.C., Yam, S.C.P., and Yung, S.P. “Markowitz’s mean–variance asset–liability management with regime switching: A time-consistent approach”, Insurance: Mathematics and Economics, 53(1), pp. 281-291 (2013). https://doi.org/10.1016/j.insmatheco.2013.05.008.
32. Li, D., Shen, Y., and Zeng, Y. “Dynamic derivative-based investment strategy for mean–variance asset–liability management with stochastic volatility”, Insurance: Mathematics and Economics, 78, pp. 72-86 (2018). DOI: https://doi.org/10.1016/j.insmatheco.2017.11.006.
33. Li, X., Wu, X., and Yao, H. “Multi-period asset-liability management with cash flows and probability constraints: A mean-field formulation approach”, Journal of the Operational Research Society, 71(10), pp. 1563-1580 (2020). DOI: https://doi.org/10.1080/01605682.2019.1610207.
34. Shen, Y., Wei, J., and Zhao, Q. “Mean–variance asset–liability management problem under non-Markovian regime-switching models”, Applied Mathematics & Optimization, 81(3), pp. 859-897 (2020). DOI: https://doi.org/10.1007/s00245-018-9523-8.
35. Cui, X., Li, X., and Yang, L. “Better than optimal mean–variance portfolio policy in multi-period asset–liability management problem”, Operations Research Letters, 48(6), pp. 693-696 (2020).
36. Zhu, H.N., Zhang, C.K., and Jin, Z. “Continuous-time mean-variance asset-liability management with stochastic interest rates and inflation risks”, Journal of Industrial & Management Optimization, 16(2), pp. 813 (2020). DOI: https://doi.org/10.1016/j.orl.2020.08.010.
37. Zhang, J., Chen, P., Jin, Z., et al. “Open-loop equilibrium strategy for mean–variance asset–liability management portfolio selection problem with debt ratio”, Journal of Computational and Applied Mathematics, 380, pp. 112951 (2020). DOI: https://doi.org/10.1016/j.cam.2020.112951.
38. Charnes, A., and Littlechild, S.C. Intertemporal Bank Asset Choice with Stochastic Dependence, Northwestern University Evanston Il Technological Institute (1968).
39. Pogue, G.A., and Bussard, R.N. “A linear programming model for short term financial planning under uncertainty” Sloan Management Review, 13, pp. 69-98 (1971).
40. Haneveld, W.K.K., Streutker, M.H., and Van Der Vlerk, M. H. “An ALM model for pension funds using integrated chance constraints”, Annals of Operations Research, 177(1), pp. 47-62 (2010). DOI: https://doi.org/10.1007/s10479-009-0594-4.
41. Bradley, S.P., and Crane, D.B. “A dynamic model for bond portfolio management”, Management Science, 19(2), pp. 139-151 (1972). DOI: https://doi.org/10.1287/mnsc.19.2.139.
42. Consigli, G., and Dempster, M.A. “Dynamic stochastic programmingfor asset-liability management”, Annals of Operations Research, 81, pp. 131-162 (1998). DOI: https://doi.org/10.1023/A:1018992620909.
43. Papi, M. and Sbaraglia, S. “Optimal asset–liability management with constraints: A dynamic programming approach”, Applied Mathematics and Computation, 173(1), pp. 306-349 (2006). DOI: https://doi.org/10.1016/j.amc.2005.04.078.
44. Gülpinar, N. and Pachamanova, D. “A robust optimization approach to asset-liability management under time-varying investment opportunities”, Journal of Banking & Finance, 37(6), pp. 2031-2041 (2013). DOI: https://doi.org/10.1016/j.jbankfin.2013.01.025.
45. Platanakis, E. and Sutcliffe, C. “Asset–liability modelling and pension schemes: the application of robust optimization to USS”, The European Journal of Finance, 23(4), pp. 324-352 (2017). DOI: https://doi.org/10.1080/1351847X.2015.1071714.
46. Cohen, K.J. and Thore, S. “Programming bank portfolios under uncertainty”, Journal of Bank Research, 1(1), pp. 42-61 (1970).
47. Kusy, M.I. and Ziemba, W.T. “A bank asset and liability management model”, Operations Research, 34(3), pp. 356-376 (1986). DOI: https://doi.org/10.1287/opre.34.3.356.
48. Ziemba, W.T., Ziemba, W.T., Mulvey, J.M., Moffatt, H. K., and Mulvey, J. M. (Eds.). Worldwide Asset and Liability Modeling ,10, Cambridge University Press (1998).
49. Sodhi, M.S. “LP modeling for asset-liability management: A survey of choices and simplifications”, Operations Research, 53(2), pp. 181-196 (2005). DOI: https://doi.org/10.1287/opre.1040.0185.
50. Dupačová, J. and Polívka, J. Asset-liability management for Czech pension funds using stochastic programming, Annals of Operations Research, 165(1), pp. 5-28 (2009). DOI: https://doi.org/10.1007/s10479-008-0358-6.
51. Ferstl, R. and Weissensteiner, A. “Asset-liability management under time-varying investment opportunities”. Journal of Banking & Finance, 35(1), pp. 182-192 (2011). DOI: https://doi.org/10.1016/j.jbankfin.2010.07.028.
52. Valladão, D.M., Veiga, Á., and Street, A. “A linear stochastic programming model for optimal leveraged portfolio selection”, Computational Economics, 51(4), pp. 1021-1032 (2018). DOI: https://doi.org/10.1007/s10614-017-9656-x.
53. De Oliveira, A.D., Filomena, T.P., Perlin, M.S., et al. “A multistage stochastic programming asset-liability management model: an application to the Brazilian pension fund industry”, Optimization and Engineering, 18(2), pp. 349-368 (2017). DOI: https://doi.org/10.1007/s11081-016-9316-3.
54. Oguzsoy, C.B. and Gu, S. “Bank asset and liability management under uncertainty”, European Journal of Operational Research, 102(3), pp. 575-600 (1997). DOI: https://doi.org/10.1016/S0377-2217(96)00241-X.
55. Birge, J.R. and Louveaux, F.V. “A multicut algorithm for two-stage stochastic linear programs”, European Journal of Operational Research, 34(3), pp. 384-392 (1988). DOI: https://doi.org/10.1016/0377-2217(88)90159-2.
56. Davari-Ardakani, H., Aminnayeri, M., and Seifi, A. “Hedging strategies for multi-period portfolio optimization”, Scientia Iranica, 22(6), pp. 2644-2663 (2015).
57. Tabrizi, B., Torabi, S., and Ghaderi, S. “A novel project portfolio selection framework: An application of fuzzy DEMATEL and multi-choice goal programming’’, Scientia Iranica, 23(6), pp. 2945-2958 (2016). DOI: https://doi.org/10.24200/sci.2016.4004.
Volume 31, Issue 22
Transactions on Industrial Engineering (E)
November and December 2024
Pages 2148-2165
  • Receive Date: 05 October 2020
  • Revise Date: 28 September 2021
  • Accept Date: 16 January 2022