Risk taking is described as an integral part of
financial services. For micro-financing in particular, engaging in proactive
risk taking is essential to their viability and long term sustainability.
Maintaining a good strategy that ensures an optimal mix in risk-return trade-off
is much more important for the microfinance banks (MFBs) that operate on a
for-profit basis. Having faulted the value-at-risk technique which is common in
the asset and liability literature, we
introduce the multi-stage stochastic programming using econometric time
series model. Specifically, for the scenario generation, we specify a VaR model
with the inclusion of dichotomy regime which captures the multi-stage
characteristics of assets. We use the liability derived investment (LDI) model
to generate the liability series over the period of study. The optimization
result showed that MFBs in Nigeriaare by far more risk averse
than they are profit seeking. This comes with the attendant effect of not being
able to achieve the outreach and sustainability objectives to the fullest. MFBs
in Nigeria need to look into their investment strategy with a view to
structuring the mix and value of the balance sheet components at different
periods to meet their stated objectives.
References
[1]
Acerbi, C., & Tasche, D. (2002). On the Coherence of Expected Shortfall. Journal of Banking and Finance, 26, 1487-1503. https://doi.org/10.1016/S0378-4266(02)00283-2
[2]
Artzner, P., Delbaen F., Eber, J., & Heath, D. (1999). A Characterization of Measures of Risk, Technical Report 1186. Ithaca, NY: Cornell University.
[3]
Bajram, N., & Can, M. (2013). Asset and Liability Management Models in Decision Making. Journal of Business and Finance, 1, 11-16.
[4]
Boender, G. C. E. (1997). A Hybrid Simulation/Optimization Scenario Model for Asset/Liability Management. European Journal of Operational Research, 99, 126-135. https://doi.org/10.1016/S0377-2217(96)00387-6
[5]
Campion, A. (2000). Improving Internal Control: Technical Guide #1. Washington DC: GTZ and MicroFinance Network, 55-60.
[6]
Campion, A., & Frankiewicz. C. (1999). Guidelines for the Effective Governance of Microfinance Institutions, Occasional Paper #3. Washington DC: MicroFinance Network, 67-72.
[7]
Cariño, D. R., Kent, T., Myers, D. H., Stacy, C., Sylvanus, M., Turner, A.L., Ziemba, W.T. et al. (1994). The Russell-Yasuda Kasai Model: An Asset/Liability Model for a Japanese Insurance Company Using Multistage Stochastic Programming. Interfaces, Edelman Prize Issue, 24, 29-49.
[8]
Cariño, D., & Ziemba, W. T. (1998). Formulation of the Russell-Yasuda Kasai Financial Planning Model. Operations Research, 46, 433-444. https://doi.org/10.1287/opre.46.4.433
Cumova, D., & Nawrocki, D. (2003). Portfolio Optimization in an Upside Potential and Downside Risk Framework. http://google.com
[11]
Defourny, B., Ernst, D., & Wehenkel, L. (2008). Multistage Stochastic Programming: A Scenario Tree Based Approach to Planning under Uncertainty.
[12]
Drijver, S. (2005). Asset Liability Management for Pension Funds Using Multi-Stage Mixed Integer Stochastic Programming. The Netherlands: Labyrint Publication.
[13]
Drijver, S., Haneveld, K., & van de Vlerk, W. (2000). Asset and Liability Management Modelling Using Multi-Stage Mixed-Integer Stochastic Programming. http://www.rug.nl/research/portal
[14]
Dunford, C. (2000). The Holy Grail of Microfinance: Helping the Poor and Sustainable? Small Enterprise Development, 11, 40-44. https://doi.org/10.3362/0957-1329.2000.008
[15]
Ellerman, D. (2007). Microfinance: Some Conceptual and Methodological Problems. In T. Dichter, & M. Harper (Eds.), What’s Wrong with Microfinance? England: Practical Action Publishing.
[16]
Fernado, N. A. (2007). Managing Microfinance Risks: Some Observations and Suggestions. Asian Journal of Agriculture and Development, 4, 1-22.
[17]
Gondzio, J., & Kouwenberg, R. (2001). High Performance Computing for Asset Liability Management. Operations Research, 49, 879-891.
[18]
Grebeck, M., & Rachev, S. (2005). Stochastic Programming Methods in Asset-Liability Management. Investment Management and Financial Innovations, 1, 82-90.
[19]
Greuning, V., Gallardo, J., & Randhawa, B. (1998). A Framework for Regulating Microfinance Institutions (pp. 7, 32-33). Washington DC: World Bank.
[20]
Hoevenaars, R. P., Molenaar, R. D., Schotman, P. C., & Steenkamp, T. B. (2008). Strategic Asset Allocation with Liabilities: Beyond Stocks and Bonds. Journal of Economic Dynamics & Control, 32, 2939-2970. https://doi.org/10.1016/j.jedc.2007.11.003
[21]
Hoyland, K., & Wallace, S. W. (2001). Generating Scenario Trees for Multistage Decision Problems. Management Science, 47, 295-307.
[22]
Joachim, B. (2000). Liquidity Management: A Toolkit for Microfinance Institutions. Bonn and Eschborn: Deutsche Gesellschaft für Technische Zusammenarbeit (GTZ). http://www.gtz.de
[23]
Koskosides, Y., & Duarte, A. (1997). A Scenario-Based Approach for Active Asset Allocation. Journal of Portfolio Management Winter, 23, 74-85. https://doi.org/10.3905/jpm.23.2.74
[24]
Kouwenberg, R., & Zenois, S. A. (2001). Stochastic Programming Models for Asset and Liability Management.
[25]
Krokhmal, P., Uryasev, S., & Zrazhevsky, G. (2002). Risk Management for Hedge Fund Portfolios: A Comparative Analysis of Linear Portfolio Rebalancing Strategies. Journal of Alternative Investments, 5, 10-29. https://doi.org/10.3905/jai.2002.319040
[26]
Kusy, M. I., & Ziemba, W. T. (1986). A Bank Asset and Liability Management Model. Operations Research, 34, 356-376. https://doi.org/10.1287/opre.34.3.356
[27]
Ledgerwood, J. (1999). Microfinance Handbook: An Institutional and Financial Perspective for Sustainable Banking with the Poor. Washington DC: World Bank. http://www.worldbank.org
[28]
Lintner, J. (1965). The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets. Review of Economics and Statistics, 47, 443-450.
[29]
Mack, B. J. (2015). Practical Applications of on the Holy Grail of “Upside Participation and Downside Protection”. The Journal of Portfolio Management, 3.
[30]
Mago, S., Hofisi, C., & Mago, S. (2013). Microfinance Institutions and Operational Risk Management in Zimbabwe: Insights from Masivingo Urban. Mediterranean Journal of Social Sciences, 4, 159-168.
[31]
Mangold, R. (2016). Do Microfinance Investment Managers Add Value, and How? Enterprise Development and Microfinance, 27.
[32]
Markowitz, H. M. (1952). Portfolio Selection. Journal of Finance, 7, 77-91.
[33]
Markowitz, H. M. (1959). Portfolio Selection, Efficient Diversification of Investments. Hoboken, NJ: John Wiley& Sons.
[34]
Merton, A. (1973a). Macroeconomic Factors Do Influence Aggregate Stock Returns. The Review of Financial Studies, 15, 751-782.
[35]
Ndibe, L., Igbokwe, A., Dauda, A., & Abdulazeez, D. (2013). The Trend Analysis of Asset and Liability of Microfinance Banks. European Journal of Business and Management, 5, 10-18.
[36]
Rockafellar, R. T., & Uryasev, S. (2000). Optimization of Conditional Value at Risk. Journal of Risk, 2, 21-41.
[37]
Ross, S. A. (1976). The Arbitrage Pricing Theory of Capital Asset Pricing. Journal of Economic Theory, 13, 341-360. https://doi.org/10.1016/0022-0531(76)90046-6
[38]
SEDIN (2015). Loan Pricing of Nigerian Microfinance Banks: Survey & Methods of Assessment, GIZ’s Pro-Poor Growth and Promotion of Employment Programme, August. Abuja: GIZ German Co-Operation.
[39]
Sharpe, W. F. (1964). Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk. Journal of Finance, 19, 234-246.
[40]
Sortino, F., Van Der Meer, R., & Plantinga, A. (1999). The Dutch Triangle. Journal of Portfolio Management, 26, 50-58. https://doi.org/10.3905/jpm.1999.319775
[41]
Tokat, Y., Rachev, S. T., & Schwartz, E. S. (2003). Asset and Liability Management: A Review and Some New Results in the Presence of Heavy Tails. In S. T. Rachev (Ed.), Handbook of Heavy Tailed Distributions in Finance (pp. 509-546). Amsterdam: Elsevier Science.
[42]
Yang, X. (2009). Applying Stochastic Programming Models in Financial Risk Management. PhD Dissertation, Edinburgh: University of Edinburgh.
[43]
Yang, X., Gondzio, J., & Grothey, A. (2009). Asset-Liability Management Modeling with Risk Control by Stochastic Dominance (pp. 104-116). Technical Report ERGO-09-002, Edinburgh: University of Edinburgh.
[44]
Zenios, S. A. (1995). Asset/Liability Management under Uncertainty for Fixed-Income Securities. Annals of Operations Research, 59, 77-97. https://doi.org/10.1007/BF02031744
[45]
Zenios, S. A. (1999). High-Performance Computing for Financial Planning: The Last Ten Years and the Next. Parallel Computing, 25, 2149-2175. https://doi.org/10.1016/S0167-8191(99)00083-6