Published 2023-09-13
Keywords
- Risk analysis,
- portfolio risk,
- diversification,
- systematic risk,,
- unsystematic risk
How to Cite
Copyright (c) 2023 Top Academic Journal of Economics and Statistics

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Abstract
The study of risk, its quantification, and the assessment of risk tolerance have evolved over the last century within the realms of market and business investments. This historical journey dates back to pioneering work by Frank Knight in the early 1920s, with seminal contributions from figures like Markowitz, Modigliani, Miller, and Sharpe in the mid-20th century. Throughout this extensive literature, diverse perspectives and applications have emerged, driven by the roles of academics, empirical researchers, and corporate practitioners This paper delves into the complex landscape of risk analysis, shedding light on fundamental concepts such as diversifiable and nondiversifiable risk. It provides a technical exploration of portfolio risk, supported by practical illustrations. The discussion extends to elucidating the lending and borrowing processes at the risk-free rate of return. Additionally, the paper elucidates risk measurement through diversification techniques, contrasting the measurement of unsystematic risk with the assessment of systematic risk using market beta Furthermore, the study briefly explores mathematical simulations and sensitivity analyses, offering insights into decision-making under varying conditions of risk, ambiguity, and uncertainty. In a world where risk perceptions are influenced by factors such as organizational structure and socio-cultural dynamics, this paper aims to contribute to a clearer understanding of risk nature, measurement, and tolerance
References
- Adusei, M. (2019). The finance–growth nexus: Does risk premium matter?. International Journal of Finance and Economics. 24 , 1, 588–603.
- Alhabeeb, M.J. (2010). Mathematical finance. Hoboken, NJ: Wiley Publications.
- Alhabeeb, M.J. and Moffitt, J.L. (2013). Managerial economics: a mathematical approach. Hoboken, NJ: Wiley Publications.
- Analytis, P.P., Wu, C.M. &Gelastopoulos, A. (2019). Make‐or‐break: chasing risky goals or settling for safe rewards? Cognitive Science, 43:7
- Baker, D.,and Carson, K. (1975). The two faces of uncertainty avoidance: attachment and adaptation. Journal of Behavioral & Applied Management. 12 ,2, 128–141.
- Baltussen, G., van den Assem, Martijn J. & van Dolder, D. (2016). Risky choice in the limelight. Review of Economics and Statistics. 98, 2, 318–332.
- Barber, B. M., and Odean, T. (2001). The Internet and the Investor. Journal of Economic Perspectives. 15,1, 41–54.
- Battalio, R. C., Kagel, J. H.&Jiranyakul, K. (1990). Testing between alternative models of choice under uncertainty: some initial results. Journal of Risk and Uncertainty. 3, 1.
- Bell, D. E. (1985). Disappointment in decision making under uncertainty. Operations Research, 33,1, 1–27 Chalamandaris, G. and Rompolis, L. S. (2020). Recovering the market risk premium from higher order moment risks. European Financial Management : The Journal of the European Financial Management Association. 27, 1, 147–186.
- De Groot, K. and Thurik, R. (2018). Disentangling risk and uncertainty: when risk-taking measures are not about risk. Frontiers in Psychology,9, 1-7
- Ellsberg, D. (1961). Risk, ambiguity, and the savage axioms. Quartely Journal of Economics. 75, 643– 669.
- Fama, E. F. and French, K. R. (1992). The cross-section of expected stock returns. Journal of Finance, 47,2: 427–65.
- Gagliardini, P., Ossola, E. &Scaillet, O. (2016). Time-varying risk premium in large cross- sectional equity data sets. Econometrica. 84, 3, 985–1046
- Jarrow, R. and Li, S. (2021). Concavity, stochastic utility, and risk aversion. Finance and Stochastics 25:2, 311- 330.
- Kahn, B. E., and Sarin, R. K. (1988). Modeling ambiguity in decisions under uncertainty. Journal of Consumer Research. 15, 265–272.
- Kahneman, D., and Tversky, A. (1979). Prospect theory: an analysis of decision under risk. Econometrica 47, 263–291.
- Kilka, M., and Weber, M. (2001). What determines the shape of the probability weighting function under uncertainty? Management Science. 47, 1712–1726.
- Kim, H. W., Kang, J. I., Namkoong, K., Jhung, K., Ha, R. Y., and Kim, S. J. (2015). Further evidence of a dissociation between decision-making under ambiguity and decision- making under risk in obsessive–compulsive disorder. Journal of Affective Disorders. 176, 118–124.
- Knight, F. H. (1921). Risk, Uncertainty and Profit. New York, NY: Sentry Press.
- Markowitz, H. (1952). Portfolio selection. Journal of Finance, 7,77-91.
- Markowitz, H. (1959). Portfolio selection: efficient diversification. John Wily and Sons, Inc.
- Modigiliani, F. and Miller, M. (1958). The cost of capital, corporate finance, and the theory of investment, The American Economic Review, 49,4, 655-669.
- O’Donoghue, T. and Somerville, J. (2018). Modeling risk aversion in economics. Journal of Economic Perspectives, 32, 2, 91-114.
- Rabin, M. (2000). Risk aversion and expected-utility theory: a calibration theorem. Econometrica 68(5): 1281–92.
- Rabin, M. and Thaler, R. (2001). Anomalies: risk aversion. Journal of Economic Perspectives 15(1): 219–32
- Sharpe, W.F. (1964). Capital assets prices: a theory of market equilibrium under conditions of risk, The Journal of Finance, 19,3, 425-442.
- Tversky, A., and Kahneman, D. (1992). Advances in prospect theory: cumulative representation of uncertainty. Journal of Risk and Uncertainty. 5, 297–323.