Modified Standard Risk Assessment Based on Optimal Capacity Investment Decisions and Portfolio Optimization (Infrastructure Speculation and New Financial Instrument)

Document Type : Paper

Authors

1 Professor, Department of Finance and Accounting, Islamic Azad University, Science and Research Branch

2 PhD student in Financial Management, Islamic Azad University, Science and Research Branch

Abstract

In order to use an Islamic financial instrument, this paper intends to measure and evaluate negative and positive deviations from target rate of return in investment opportunity evaluation,that leads to presenting an upside potential- adjusted risk measure. This risk measure named Upside Potential Adjusted Risk Measure (ALPM) is generally applicable and provides assumptions of Variance, Downside Risk, LPM and UPM leading to the same results. It adjusts the downside risk of an investment opportunity by using the investors’s personal viewpoints and incorporates the probability and the size of upside potential in risk measurement. ALPM, which is applicable in individual security risk measurement and portfolio optimization, calculates risk by downside risk and upside potential.
ALPM can solve important paradoxes of decision making, namely the Allais, the Ellsberg and the St. Petersburg Paradox, and is applicable in portfolio optimization in order to maximize the expected rate of return and minimize the upside potential adjusted risk.

Keywords

موسویان، سید عباس (1382)، «اصلاح ساختار بازار مالی»، اقتصاد اسلامی، شماره 11، ص5.. میرمعزی، سید حسین (1387)، «روش فلسفه علم اقتصاد اسلامی»، اقتصاد اسلامی، شماره 7، صص45-65.. Allais, Maurice (1953), "Le Comportement de l'Homme Rationnel devant le Risque: Critique des Postulats et Axiomes de l'Ecole Americaine", Econometrica, 21 (4), pp.503-546.. Bawa, Vijay S. and Eric B. Lindenberg (1977), "Capital Market Equilibrium in a Mean-lower Partial Moment Framework", Journal of Financial Economics, No.5, pp.189–200.. Bawa, Vijay S. (1975), "Optimal Rules for Ordering Uncertain Prospects", Journal of Financial Economics, No.2, pp.95–121.. Bawa, Vijay S. (1978), "Safety-First, Stochastic Dominance, and Optimal Portfolio Choice", Journal of Financial and Quantitative Analysis, No.13, pp.255–271.. Bernoilli, Daniel (1738), "Specimen Theoriae Novae de Mensura Sortis", Co-mentarii Academiae Scientiarum Imperialis Petropolitanae, No.5, pp.175-192.. Ellsberg, D. (1961), "Risk, Ambiguity and Savage Axioms", Q. J. Economics, No. 75, pp.643-679.. Farinelli, S, Tibiletti, L. (2003), "Sharpe Thinking with Asymmetrical Preferences", Technical Report presented at European Bond Commission; Winter Meeting; Frankfurt.. Fishburn, Peter C. (1977), "Mean-Risk Analysis with Risk Associated with Below-Target Returns", The American Economic Review, No.67, pp.116–126.. Fox, Craig R.; Amos Tversky (1995), "Ambiguity Aversion and Comparative Ignorance", Quarterly Journal of Economics 110 (3), pp.585–603.. Granger, Clive W. J. (2002), "Some Comments on Risk", Journal of Applied Econometrics, No.17, pp. 447–456.. Grootveld, Henk and Winfried Hallerbach (1999), "Variance vs Downside Risk: Is There Really That Much Difference", European Journal of Operational Research, No.114, pp.304–319.. Gul, Faruk (1991), "A Theory of Disappointment Aversion", Econometrica, No.59, pp.667–686.. Kahneman, Daniel and Amos Tversky (1979), "Prospect Theory: An Analysis of Decision under Risk", Econometrica, No.47, pp. 263–291.. Kahneman, Daniel and Amos Tversky (1979), "Prospect Theory: An Analysis Of Decision Under Risk", Econometrica, No.42, pp. 263-292.. Kang, Taehoon, B. Wade Brorsen and Brian D. Adam (1996), "A New Efficiency Criterion: The Mean-Separated Target Deviations Risk Model", Journal of Economics and Business, No.48, pp.47–66.. Mao, James C. T. (1970), "Survey of Capital Budgeting: Theory and Practice", Journal of Finance, No.25, pp. 349–360.. Markowitz, Harry (1952), "Portfolio Selection", Journal of Finance, No.7, pp. 77–91.. Markowitz, Harry (1959), Portfolio Selection: Efficient Diversification of Investments, New York: Wiley.. Post, Thierry and Pim van Vliet (2002), "Downside Risk and Upside Potential", Erasmus Research Institute of Management (ERIM) Working Paper.. Roy, A. D. (1952), "Safety First and the Holding of Assets", Econometrica, No.20, pp.431–449.. Sortino, Frank, Robert Van Der Meer and Auke Plantinga (1999), "The Dutch Triangle", Journal of Portfolio Management, 26(1), pp. 50-58.. Tversky, Amos; Daniel Kahneman (1992), "Advances in Prospect Theory: Cumulative Representation of Uncertainty", Journal of Risk and Uncertainty, 5 (4): pp. 297–323.. Womersley, R.S. and K. Lau (1996), Portfolio Optimization Problems, in A. Easton and R. L. May eds., Computational Techniques and Applications CTAC 95 (World Scientific, 1996), pp.795-802..
  • Receive Date: 15 September 2015
  • Accept Date: 15 September 2015