[1] Aalaei, M. (2022). Pricing life settlements in the secondary market using fuzzy internal rate of return. Journal of Mathematics and Modeling in Finance, 2(2):53–62.
[2] Abbasian, E. and Ahmadi, M. (2024). The quantitative and qualitative assessments of investment risk in government development projects (case study: Joint oil fields of iran and iraq). Iranian Economic Review, 28(1):250–272.
[3] Abouzari, P., Khanlari, K., and Esmaeelabadi, R. (2024). Comparison and evaluation of moment frame frequency and response accuracy under characteristic matrices based on classical and modified shape functions. Environmental Engineering and Management Journal, 23(12):2631–2642.
[4] Ajide, F. and Dada, J. (2024). Economic complexity and shadow economy in africa. Iranian Economic Review, 28(3):788–813.
[5] Alamian, V. and Ayeshgar, E. (2024). The effect of problem posing on learning geometric concepts of students based on apos theory. Journal of New Researches in Mathematics, 9(6):23–31.
[6] Ashrafganjoee, R., Akbari Fard, H., Jalaee Esfandabadi, S., and Mashinchi, M. (2024). Estimating the impact of uncertainty of macroeconomic and foreign trade variables on income distribution among income deciles. Quarterly Journal of Quantitative Economics, 21(2):75–125.
[7] Asquth, D. and Bethel, J. (1995). Using heuristics to evaluate projects: The case of ranking projects by irr. The Engineering Economist, 40(3):287–294.
[8] Babaei, R. and Mohammaditabar, D. (2024). An inventory lot sizing model of deteriorating items with time and price dependent demand, by considering the time value of money. Journal of Optimization in Industrial Engineering, 1(17):77–86.
[9] Babaie, B. and Jasbi, A. (2021). Calculation of the profitability of fuzzy investment cash flows using the reliable economic rate of return measure. Research in Production and Operations Management, 12(1):77–101.
[10] Berggren, J. (1990). Innovation and tradition in sharaf al-din al-tusi’s muadalat. Journal of the American Oriental Society, 110(2):304–309.
[11] Brounen, D., De Jong, A., and Koedijk, K. (2004). Corporate finance in europe: Confronting theory with practice. Financial Management, 33(4):99–106.
[12] Burden, R. and Faires, J. (2011). Numerical Analysis. Richard Stratton, Canada.
[13] Cajori, F. (1911). Horner’s method of approximation anticipated by ruffini. Bulletin of the American Mathematical Society, 17(8):409–414.
[14] Chisini, O. (1929). Sul concetto di media [on the concept of mean]. periodic di matematice, 4:106–116.
[15] Danielson, M. (2024). A robust model to estimate a firm’s average economic return. Journal of Contemporary Accounting & Economics, 20(1):100–112.
[16] Desai, P. (2015). On the internal rate of return criterion: A note. The Engineering Economist, 21(2):141–144.
[17] Erdik, C. (2019). Investigation of mathematics teachers’ opinions about problem posing. Journal on Mathematics Education, 10(1):1–20.
[18] Frisch, R. (1933). Editor’s note. Econometrica, 1:1–4.
[19] Graham, J. and Harvey, C. (2001). The theory and practice of corporate finance: Evidence from the field. Journal of Financial Economics, 60:44–51.
[20] Gronchi, S. (1986). On investment criteria based on the internal rate of return. Oxford Economic Papers, 1:174–180.
[21] Hadian, R., Hashemi, S., and Samadi, S. (2017). Evaluation of the effect of investment on future performance considering the level of firm financial constraint. Journal of Asset Management and Financing, 5(3):117–132.
[22] Hanafizadeh, P. and Salmani, H. (2021). Robust net present value with infinite lifetime. Journal of Mathematics and Modeling in Finance, 1(1):13–34.
[23] Hazen, G. (2003). A new perspective on multiple internal rates of return. The Engineering Economist, 48(1):31–51.
[24] Hazen, G. (2009). An extension of the internal rate of return to stochastic cash flows. Management Science, 55(6):1030–1034.
[25] Horner, W. (1819). A new method of solving numerical equations of all orders, by continuous approximation. Philosophical Transactions of the Royal Society of London, 109:308–335.
[26] ILLÉS, M. (2012). Transforming the net present value for a comparable one. Club of Economics in Miskolc TMP,1(8):24–32.
[27] Jafari, H. (2020). Development of average of internal rate of return method. Mathematics in Natural Science,6(1):20–26.
[28] Jafari, H. and Ehsanifar, M. (2024). Using constrained optimization to find real roots of polynomial(rrp). Theory of Approximation and Applications, 17(1):1–17.
[29] Jafari, H., Ehsanifar, M., and Sheykhan, A. (2020a). Finding optimum facility’s layout by developed simulated annealing algorithm. International Journal of Research in Industrial Engineering, 9(2):172–182.
[30] Jafari, H., Etebari, A., and Salehi, K. (2022). Improvement of periodic rates in the average internal rate of return method. Mathematics and Computational Sciences, 3(4):23–32.
[31] Jafari, H., Faraji, M., and Khaleghi Ardehali, P. (2020b). A heuristic method to calculate the real internal rate of return (rirr). International Journal of Applied Operational Research, 10(1):31–40.
[32] Javaheri, B., Ghaderi, S., Borzoui, N., and Amani, R. (2024). Value added in different economic sectors, foreign direct investment and economic freedom in iran. Journal of Econometric Modelling, 9(3):9–36.
[33] Kester, G., Chang, R., Echanis, E., Haikal, S., Isa, M., and Skully, M. (1999). Capital budgeting practices in the asia-pacific region: Australia, hong kong, indonesia, malaysia, philippines and singapore. Financial Practice and Education, 9(1):57–63.
[34] Khalilzade, D. and Ahrabi, A. (2024). Designing optimal predictive control model for boost converter in solar inverters with the help of meta-engineering algorithms. Transactions on Machine Intelligence, 7(2):147–160.
[35] Lalkhezri, H. and Ashena, M. (2024). Spillover effects of selected macroeconomic variables on exchange market pressure: a var-dcc-garch approach. Journal of Econometric Modelling, 9(2):9–34.
[36] Lerskullawat, A. (2018). Financial development, financial constraint, and firm investment: Evidence from thailand. Kasetsart Journal of Social Sciences, 40(1):55–66.
[37] Liljeblom, E. and Vaihekoski, M. (2004). Investment evaluation methods and required rate of return in finnish publicly listed companies. Finnish Journal of Business Economics, 53(1):122–129.
[38] Liu, W., Zhou, R., and Wang, S. (2014). The model of cash flow valuation based on the svensson model. Systems Engineering Theory & Practice, 34(1):61–66.
[39] Lohmann, J. (1988). The irr, npv and the fallacy of their investment rate assumptions. The Engineering Economist, 33(4):303–330.
[40] Magni, C. (2010). Average internal rate of return and investment decisions: a new perspective. The Engineering Economist, 55(2):150–180.
[41] Mohammadtalebi, B., Mohammad Talebi, M., Jahangiri, M., and Eshghiaraghi, M. (2018). Investigating the effect of internal rate of return on cash re-cycling on the abnormal returns of companies accepted in tehran stock exchange. Advances in Mathematical Finance and Applications, 5(3):1–10.
[42] Momeni, M., Soleimani, H., and Mirzapour Al-e Hashem, S. (2022). A nonlinear mathematical model for autonomous vehicle routing problem by considering traffic congestion for each route. Journal of Quality Engineering and Production Optimization, 7(2):14–33.
[43] Moradi, B., Shakeri, H., and NamdarZangeneh, S. (2012). Solving the paradox of multiple irrs in engineering economic problems by choosing an optimal α-cut. International Journal of Industrial Engineering & Production Research, 1(23):45–52.
[44] Mujahed, M. and Elshareif, E. (2017). Internal rate of return (irr): A new proposed approach. In Benlamri, R. and Sparer, M., editors, Leadership, Innovation and Entrepreneurship as Driving Forces of the Global Economy, pages 761–768. Springer Proceedings in Business and Economics.
[45] Norstrom, C. (1972). A sufficient condition for a unique non-negative internal rate of return. Journal of Financial and Quantitative Analysis, 7(3):1835–1839.
[46] Nuugulu, S., Gideon, F., and Patidar, K. (2024). An efficient numerical scheme for a time-fractional blackscholes partial differential equation derived from the fractal market hypothesis. Fractal and Fractional, 8(8):461–473.
[47] Osborne, I. (2010). A resolution to the npvirr debate? The Quarterly Review of Economics and Finance, 50(2):234–239.
[48] Ouyang, H., Li, F., and Liu, Y. (2025). Environmental risk assessment and risk management for green finance decision-making. Environmental Engineering and Management Journal, 24(1):117–130.
[49] Pahlavan, S., Khanmohammadi, M., and Yazdani, S. (2025). Development of credit rating scales in investment industry companies. International Journal of Finance & Managerial Accounting, 10(38):111–126.
[50] Payne, J., Carrington, H., and Gale, L. (1999). Comparative financial practice in the us and canada: Capital budgeting and risk assessment techniques. Financial Practice and Education, 9(1):32–39.
[51] Pressacco, F., Magni, C., and Stucchi, P. (2014). A quasi-irr for a project without irr. Engineering Economist, 2(11):1–25.
[52] Rahimibadr, B. (2008). An econometric model for wheat price forecasting in iran. Journal of European Economy, 7:12–19.
[53] Russell, M. and Rickard, J. (1982). Uniqueness of non-negative internal rate of return. Journal of the Institute of Actuaries, 109:435–445.
[54] Ryan, P. and Ryan, G. (2002). Capital budgeting practices of the fortune 1000: How have things changed? Journal of Business and Management, 8(4):45–52.
[55] Saboori, A., Rabiei, M., Zandi, F., and Shakuri, B. (2024). Presenting the optimal monetary policy effect model on inflation and exchange rate control. International Journal of Nonlinear Analysis and Applications, 15(8):215–224.
[56] Samiee, M., Noorolahzadeh, N., and Saraf, F. (2024). Presenting a model for identifying the risk aversion of shareholders according to the influence and role of the governments monetary and fiscal policies and the mass behavior of shareholders. International Journal of Nonlinear Analysis and Applications, 15(11):333–344.
[57] Samsami, H., Hasanpour, H., and Nowjavan, M. (2023). The impact of removing fictitious assets from bank balance sheet on money supply and other macroeconomic variables. Iranian Journal of Economic Studies,12(1):249–270.
[58] Sanchez, S., Liao, T., Ray, T., and Traintaphyllou, E. (1999). An example for dealing with impreciseness of future cash flows during the selection of economic alternatives. International Journal of Industrial Engineering, 6(1):38–47.
[59] Sangpech, P. and Ueasangkomsate, P. (2022). Supply chain management and the circular economy: A review of current research and future trends. In 2022 Joint International Conference on Digital Arts, Media and Technology with ECTI Northern Section Conference on Electrical, Electronics, Computer and Telecommunications
Engineering (ECTI DAMT & NCON), pages 24–28, Chiang Rai, Thailand.
[60] Sedaghat Galeshaklami, I., Jabbari, H., Panahian, H., Arabzadeh, M., and Mazroie Nasrabadi, I. (2025). Investigate the possible effects of the implementation of value-added tax on the amount of government budget deficit, cost of domestic products, demand pressure, inflationary expectations and inflation in iran. International Journal of
Nonlinear Analysis and Applications, 16(4):311–324.
[61] Sokolov, M. (2024). Npv, irr, pi, pp, and dpp: a unified view. Journal of Mathematical Economics, 114:23–29.
[62] Soper, C. (1959). The marginal efficiency of capital: A future note. The Economic Journal, 69:174–178.
[63] Spanos, A. (1986). Statistical foundations of econometric modeling. Cambridge University Press.
[64] Velniciuc, A., Bujoreanu, C., and Boaca, G. (2024). Numerical analysis of vehicle loads using matlab. Environmental Engineering and Management Journal, 23(11):2379–2389.
[65] Vukevi, M. and Vujadinovi, V. (2008). Boost quality of engineering project solutions through economic analysis and comparing alternatives. International Journal for Quality Research, 2(4):285–293.
[66] Weber, T. (2013). On the (non-)equivalence of irr and npv. Technical report, Economics and Strategy, Ecole Polytechnique Fédérale de Lausanne, Switzerland.
