Life Cycle and Implied Duration of Stocks in the Tehran Stock Exchange

Document Type : Research Paper

Authors

1 Associate Prof., Department of Financial Engineering, Faculty of Accounting and Financial Sciences, College of Management, University of Tehran, Tehran, Iran.

2 Associate Prof., Department of Financial and Banking, Faculty of Management and Accounting, Allameh Tabataba'i University, Tehran, Iran.

3 Ph.D. Candidate, Department of Finance, Kish International Campus, University of Tehran, Kish, Iran.

10.22059/acctgrev.2025.381472.1009005

Abstract

Objective
The timing of anticipated cash flows and the period necessary for the recovery of the initial capital constitute critical considerations for common equity investors. Macaulay duration serves as a metric for determining the payback period and is widely used to measure the sensitivity of fixed-income securities to changes in interest rates. Implied equity duration represents an extension and generalization of bond duration applied to common stocks. In recent decades, efforts to better understand decision-making processes over time and to identify behavioral patterns of firms have led researchers to focus on the corporate life cycle. The firm life cycle framework seeks to depict how a company grows, matures, and declines through an analysis of its strategies and organizational structures. The foundation of the firm life cycle theory suggests that investment decisions, financing choices, and financial performance are profoundly influenced by changes in the firm’s organizational capabilities at different stages of its life cycle. In other words, a firm’s capital structure evolves throughout its life cycle. This article aims to explore the relationship between the life cycle and the implied duration of the stocks of firms listed in the Tehran Stock Exchange.
Methods
In this study, financial data of companies listed on the Tehran Stock Exchange over a 13-year period from 2010 to 2022 were utilized to calculate implied equity duration, corporate life cycle, and other variables. The statistical sample consists of 145 manufacturing firms, which were analyzed using EViews software and multivariate regression analysis.
Results
The findings of this study indicate a significant negative relationship between the firms’ life cycle—measured by the retained earnings to equity ratio—and the implied duration of their stocks. Specifically, as the retained earnings to equity ratio increases, the implied stock duration decreases. Conversely, no significant relationship was found between the other life cycle measure—retained earnings to total assets—and implied equity duration, although the coefficient was negative. When examining different stages of the life cycle, the relationship between life cycle indicators (retained earnings to equity and retained earnings to total assets) and implied stock duration was not statistically significant during the growth stage. However, during the maturity and decline stages, a significant negative relationship was observed, with a more pronounced decrease in implied duration occurring during the decline phase.
Conclusion
According to the research findings, firms in the decline stage, facing reduced investment opportunities and having adequate access to financial resources both internally and externally, tend to have management that favors distributing dividends to shareholders. Consequently, the implied equity duration of firms in the decline stage decreases more significantly compared to those in the maturity stage. The practical application of duration as a concept depends on investors’ strategies and risk tolerance. Risk-averse investors may prefer to invest in stocks of firms in the decline stage or those approaching the end of the maturity stage to achieve suitable returns while implementing mechanisms to protect their portfolios. Conversely, investors with higher risk tolerance might opt for firms in the maturity stage. It is also noteworthy that the relationship between the life cycle and equity duration during the growth stage was found to be insignificant.

Keywords

Main Subjects


 
Abor, J. & Bokpin, G. A. (2010). Investment opportunities, corporate finance, and dividend payout policy: Evidence from emerging markets. Studies in economics and finance, 27(3), 180-194.
Adizes, I. (1979). Organizational passages—diagnosing and treating lifecycle problems of organizations. Organizational dynamics, 8(1), 3-25.
Ahmed, B., Akbar, M., Sabahat, T., Ali, S., Hussain, A., Akbar, A. & Hongming, X. (2020). Does firm life cycle impact corporate investment efficiency?. Sustainability, 13(1), 197.
Alagarsamy, K. P. (2019). An Equity Duration-based rationale for the default risk puzzle. Available at SSRN 3501971.‏
Al-Hadi, A., Chatterjee, B., Yaftian, A., Taylor, G. & Monzur Hasan, M. (2019). Corporate social responsibility performance, financial distress and firm life cycle: evidence from Australia. Accounting & Finance, 59(2), 961-989.
Al-Hiyari, A., Kolsi, M. C., Lutfi, A. & Shakkour, A. S. (2024). Information asymmetry and dividend payout in an emerging market: Does corporate governance quality matter? Journal of Open Innovation: Technology, Market, and Complexity, 10(1), 100188.
Amin, A., Bowler, B., Hasan, M., Lobo, G. & Tresl, J. (2023). Firm life cycle and cost of debt. Journal of Banking & Finance, 154, Article 106971.
Anthony, J. H. & Ramesh, K. (1992). Association between accounting performance measures and stock prices: A test of the life cycle hypothesis. Journal of Accounting and economics, 15(2-3), 203-227.
Anvary Rostamy, A.A. & Bazyar, M. (2024). The Impact of Financial Restrictions and Institutional Investors on the Sensitivity of Cash Holdings to Asymmetric Operating Cash Flows. Accounting and Auditing Review, 31(2), 222-258. (in Persian)
Bae, J. & Lee, C. (2021). Illiquidity, duration and momentum profits: evidence from the Korean stock market. Journal of Derivatives and Quantitative Studies, 29(1), 49-72.
Baker, H. K., Chang, B., Dutta, S. & Saadi, S. (2012). Why firms do not pay dividends: The Canadian experience. Journal of Business Finance & Accounting, 39(9-10), 1330-1356.
Bayat, A. & Noshahr, Z. B. (2018). The effect of firm life cycle on corporate policies. Journal of Organizational Behavior Research, 3(2-2018), 1-17.
Bender, R. & Ward, K. (1993). Corporate financial strategy. Oxford: Butterworth-Heinemann.
Bhattacharya, N., Black, E., Christensen, T., Mergenthaler, R. (2004). Empirical evidence on recent trends in pro forma reporting. Accounting Horizons, 18(1), 27–43.
Brigham, E. F. & Daves, P. R. (2004). Intermediate Financial Management (8th edition). Thomson-South Western, USA.
Chandler Jr, A. D. (1969). Strategy and structure: Chapters in the history of the American industrial enterprise (Vol. 461). MIT press.‏
Chattha, J.A. & Bacha, O.I. (2010). Duration gaps and net worth risk for Islamic and conventional banks: A comparative cross-country analysis. Review of Islamic Economics, 13(2), 5-33.
Chen, Z. & Yang, B. (2019). In search of preference shock risks: Evidence from longevity risks and momentum profits. Journal of Financial Economics, 133(1), 225-249.
Chen, Z. (2022). Inferring stock duration around fomc surprises: Estimates and implications. Journal of Financial and Quantitative Analysis, 57(2), 669-703.
Copeland, T. E., Koller, T. & Murrin, J. (1991). Valuation: measuring and managing the value of companies.
Da, Z. (2009). Cash flow, consumption risk, and the cross-section of stock returns, Journal of Finance, 64, 923–956.
Darmouni, O., Giesecke, O. & Rodnyansky, A. (2022). The bond lending channel of monetary policy. Columbia Business School Research Paper Forthcoming.
DeAngelo, H., DeAngelo, L. & Stulz, R. M. (2006). Dividend policy and the earned‌contributed capital mix: a test of the life-cycle theory. Journal of Financial economics, 81(2), 227-254.
Dechow, P. M., Erhard, R. D., Sloan, R. G. & Soliman, A. M. T. (2021). Implied equity duration: A measure of pandemic shutdown risk. Journal of Accounting Research, 59(1), 243-281.
Dechow, P. M., Sloan, R. G. & Soliman, M. T. (2004). Implied equity duration: A new measure of equity risk. Review of Accounting Studies, 9, 197-228.
Desai, H., Hogan, C. E. & Wilkins, M. S. (2006). The reputational penalty for aggressive accounting: Earnings restatements and management turnover. The Accounting Review, 81(1), 83-112.
Dickinson, V. (2011). Cash flow patterns as a proxy for firm life cycle. The accounting review, 86(6), 1969-1994.
Dinlersoz, E., Kalemli-Ozcan, S., Hyatt, H. & Penciakova, V. (2018). Leverage over the Firm Life-Cycle, Firm Growth, and Aggregate Fluctuations (No. w25226). National Bureau of Economic Research.
Dolo, M., Varzideh, A. & Safari, A. (2019). Research paper: Investigating the impact of stock lateness on total risk and systematic risk. Financial Management Strategy , 8 (2), 93-109. doi: 10.22051‌jfm.2020.23721.1905 (in Persian)
Doyle, J. T., Ge, W. & McVay, S. (2007). Accruals quality and internal control over financial reporting. The accounting review, 82(5), 1141-1170.
Drake, M. S., Myers, J. N. & Myers, L. A. (2009). Disclosure quality and the mispricing of accruals and cash flow. Journal of Accounting, Auditing & Finance, 24(3), 357-384.
Elsayed, K. & Paton, D. (2009). The impact of financial performance on environmental policy: does firm life cycle matter? Business Strategy and the Environment, 18(6), 397-413.
Faff, R., Kwok, W. C., Podolski, E. J. & Wong, G. (2016). Do corporate policies follow a life-cycle? Journal of Banking & Finance, 69, 95-107.
Fama, E. F. & French, K. R. (2001). Disappearing dividends: changing firm characteristics or lower propensity to pay? Journal of Financial economics, 60(1), 3-43.
Fernandeza, J.L., Ferreiro-Ferreirob, A.M., Garcıa-Rodrıguezb, J.A. & Carlos Vazquez, C. (2018). GPU parallel implementation for asset-liability management in insurance companies. Journal of Computational Science, 24, 232-254.
Fodor, A., Lovelace, K. B., Singal, V. & Tayal, J. (2024). Does firm life cycle stage affect investor perceptions? Evidence from earnings announcement reactions. Review of Accounting Studies, 29(2), 1039-1096.
Fu, L., Singhal, R. & Parkash, M. (2016). Tobin's q ratio and firm performance. International research journal of applied finance, 7(4), 1-10.
Fukuta, Y. & Yamane, A. (2015). Value premium and implied equity duration in the Japanese stock market. Journal of International Financial Markets, Institutions and Money, 39, 102-121.
Fukuta, Y. & Yamane, A. (2024). Implied Equity Duration: Lessons from the Japanese Financial Crises. Graduate School of Economics, Osaka University.
Fullana, O. & Toscano, D. (2020). Performance of alternative estimation procedures of the implied equity duration in a small stock market. Sustainability, 12(5), 1886.
Fullana, O., Nave, J. M. & Toscano, D. (2018). The implied equity duration when discounting and forecasting parameters are industry specific. Accounting & Finance, 58, 179-209.
Gao, S., Meng, F., Wang, W. & Chen, W. (2023). Does ESG always improve corporate performance? Evidence from firm life cycle perspective. Frontiers in Environmental Science, 11, 1105077.
Gao, W. (2024). Cash flow duration and market reactions to earnings announcements. Review of Quantitative Finance and Accounting, 63(2), 679-714.
Gonçalves, A. S. (2021). The short duration premium. Journal of Financial economics, 141(3), 919-945.
Gormsen, N. J. & Lazarus, E. (2023). Duration-driven returns. The Journal of Finance, 78(3), 1393-1447.
Gort, M. & Klepper, S. (1982). Time paths in the diffusion of product innovations. The economic journal, 92(367), 630-653.‏
Greiner, L. (1972). Evolution and revolution as organisations grow. Harvard Business Review, 50(4), 37–46.
Habib, A. & Hasan, M. (2017). Firm life cycle, corporate risk-taking, and investor sentiment. Accounting & Finance, 57(2), 465-497.
Habib, A. & Hasan, M. (2019). Corporate life cycle research in accounting, finance and corporate governance: A survey, and directions for future research. International Review of Financial Analysis, 61, 188–201
Hasler, M. & Marfe, R. (2016). Disaster recovery and the term structure of dividend strips. Journal of Financial Economics, 122(1), 116-134.‏
Helfat, C. E. & Peteraf, M. A. (2003). The dynamic resource-based view: capabilities lifecycles, Strategic Management Journal 24, 997–1010.
Indrati, M. & Amelia, K. (2022). The Effect of Profitability, Liquidity, Leverage and Company Size on the Company's Dividend Policy. Budapest International Research and Critics Institute-Journal (BIRCI-Journal), 5(3), 21787-21799.
Jawahar, I. M. & McLaughlin, G. L. (2001). Toward a descriptive stakeholder theory: An organizational life cycle approach. Academy of Management Review, 26(3), 397–414.
Jensen, M. C. & Meckling, W. H. (1976). Theory of the Firm: Managerial Behavior, Agency Costs and Ownership Structure. Journal of Financial Economics, 3(4), 305-360.
Jiang, H. & Sun, Z. (2015). Equity duration: A puzzle on high dividend stocks. Michigan State University working paper.
Kallunki, J. P. & Silvola, H. (2008). The effect of organizational life cycle stage on the use of activity-based costing. Management accounting research, 19(1), 62-79.
Karami, Gh. & Omrani, H. (2010). The effect of company life cycle and conservatism on company value. Accounting and Auditing Reviews, 17 (1), 79-96. (in Persian)
Kazanjian, R. & Drazin, R. (1990). A stage-contingent model of design and growth for technology based new ventures. Journal of Business Venturing, 5(3), 137–150.
Kazanjian, R. K. (1988). Relation of dominant problems to stages of growth in technology-based new ventures. Academy of Management Journal, 31(2), 257–279.
Kazemi Gorti, H. & Soroush Yar, A. (2017). Implied stock lag and excess stock return: Evidence from Tehran Stock Exchange. Financial engineering and securities management (portfolio management), 9(35), 243-258. (in Persian)
Kazemi, H. & Jahangiri Livari, A. (2012). Comparing the efficiency of free cash flow models in the valuation of companies. Accounting and auditing research, 5(18), 42-55. (in Persian)
Khajavi, Sh. & Ghadirian-Arani, M. H. (2023). Research Methodology in Accounting (3th Edition).University of Tehran Press. (in Persian)
Khan, M. & Watts, R. L. (2009). Estimation and empirical properties of a firm-year measure of accounting conservatism. Journal of accounting and Economics, 48(2-3), 132-150.
Khuong, N. V., Anh, L. H. T. & Van, N.T.H. (2022). Firm life cycle and earnings management: The moderating role of state ownership. Cogent Economics & Finance, 10(1), 2085260.
Klein, A. & Marquardt, C. A. (2006). Fundamentals of accounting losses. The Accounting Review, 81(1), 179-206.
Koberg, C. S., Uhlenbruck, N. & Sarason, Y. (1996). Facilitators of organizational innovation: The role of life-cycle stage. Journal of Business Venturing, 11(2), 133–149.
La Rocca, M., La Rocca, T. & Cariola, A. (2011). Capital structure decisions during a firm's life cycle. Small Business Economics, 37, 107-130.
Lester, D. L., Parnell, J. A. & Carraher, S. (2003). Organizational life cycle: A five-stage empirical scale. The international journal of organizational analysis, 11(4), 339-354.
Lettau, M. & Wachter, J. A. (2007). Why is long-horizon equity less risky? A duration-based explanation of the value premium. The journal of finance, 62(1), 55-92.
Levie, J. & Lichtenstein, B. B. (2010). A terminal assessment of stages theory: Introducing a dynamic states approach to entrepreneurship. Entrepreneurship Theory and practice, 34(2), 317-350.
Lidstone, G. J. (1894). On the treatment of incomplete years of exposure in a mortality experience derived from records of assured lives. Journal of the Institute of Actuaries, 31(4), 304-309.
Lindenberg, E. B. & Ross, S. A. (1981). Tobin's q ratio and industrial organization. Journal of business, 1-32.
Lintner, J. (1956). Distribution of incomes of corporations among dividends, retained earnings, and taxes. The American economic review, 46(2), 97-113.
Macaulay, F. R. (1938). Some theoretical problems suggested by the movements of interest rates, bond yields and stock prices in the United States since 1856. NBER Books.
Manzur Hasan, M., Hossain, M., Cheung, A.W.K., Habib, A. (2015). Corporate life cycle and cost of equity capital. Journal of Contemporary Accounting & Economics, 11(1), 46-60
Miller, D. & Friesen, P. H. (1984). A longitudinal study of the corporate life cycle. Management science, 30(10), 1161-1183.
Milliman, J., von Glinow, M. A. & Nathan, M. (1991). Organizational life cycles and strategic international human resource management in multinational companies: Implications for congruence theory. Academy of Management Review, 16(2), 318–339.
Mitton, T. (2004). Corporate governance and dividend policy in emerging markets. Emerging markets review, 5(4), 409-426.
Moon, S. & Song, J. (2019). Cross-section of expected returns based on equity duration. Journal of Derivatives and Quantitative Studies, 27(3), 297-327.
Mulchandani, K., Mulchandani, K., & Jain, M. (2024). Firm's life cycle and cash flow classification: evidence from Indian firms. Asian Review of Accounting32(3), 443-462.
Namaki, A., Shabanporfard, P. & Saadi, Rasoul. (2021). The influence and role of the government in the stock market in Tehran Stock Exchange. Financial Management Perspective, 11 (34), 9-34. (in Persian)
Oliver, A. L. (2001). Strategic alliances and the learning life-cycle of biotechnology firms. Organization Studies, 22(3), 467-489.
Owen, S. & Yawson, A. (2010). Corporate life cycle and M&A activity. Journal of banking & finance, 34(2), 427-440.
Pashley, M. M. & Philippatos, G. C. (1990). Voluntary divestitures and corporate life-cycle: Some empirical evidence. Applied Economics, 22(9), 1181-1196.
Quinn, R. E. & Cameron, K. (1983). Organizational life cycles and shifting criteria of effectiveness: Some preliminary evidence. Management science, 29(1), 33-51.
Reis, P. (2020). Implied equity duration as a measure of risk and its simultaneous endogeneity with performance in European companies. International Journal of Economics and Business Research, 19(3), 313-333.
Richardson, S. (2006). Over-investment of free cash flow. Review of accounting studies, 11, 159-189.
Salman, S.A. (2006). Financial distress and bank failure: lessons from closure of Ihlas Finans in Turkey. Islamic Economic Studies, 14(1/2), 2-52.
Santa-Clara, P. (2004). Discussion of implied equity duration: a new measure of equity risk, Review of Accounting Studies 9, 229–231.
Schrager, D. (2019). Pension Fund ALM-Can Pension Funds Stabilize Funding Levels and Improve Long-Term Return by Hedging Longevity Risk? Longitude Solutions, New York. Available at SSRN 3378946.
Schröder, D. & Esterer, F. (2016). A New Measure of Equity and Cash Flow Duration: The Duration-Based Explanation of the Value Premium Revisited. Journal of Money, Credit and Banking, 48(5), 857-900.
Setiawan, S., Wahyudi, S. & Muharam, H. (2024). Determinants of bank’s dividend policy: A life cycle theory test in Indonesia. Managerial Finance, 50(8), 1409-1423.
Shaffer, S. (2007). Equity duration and convexity when firms can fail or stagnate. Finance Research Letters, 4(4), 233-241.
Shingade, S., Rastogi, S., Bhimavarapu, V. M. & Chirputkar, A. (2022). Shareholder activism and its impact on profitability, return, and valuation of the firms in India. Journal of Risk and Financial Management, 15(4), 148.
Shirvani, H. & Wilbratte, B. (2002). Two pedagogical simplifications of the concept of duration. Journal of Economics and Finance Education, 1(2), 18-23.
 Smith, K. G., Mitchell, T. R. & Summer, C. E. (1985). Top level management priorities in different stages of the organizational life cycle. Academy of management Journal, 28(4), 799-820.
Talebniya, Gh. & Heshmat, N. (2016). Investigating the relationship between company life cycle stages and implicit capital cost based on dynamic resource-based theory. Accounting Knowledge Journal, 29 (2), 105-131. (in Persian)
Talreja, K., Memon, M. F., Jatoi, W. A. & Bhutto, S. A. (2023). The effects of capital structure (CS) and growth of firm (GOF) on firm’s value (FV): A mediation analysis. Multicultural Education, 9(1), 35–41.
Van Binsbergen, J. H. & Koijen, R. S. (2017). The term structure of returns: Facts and theory. Journal of Financial Economics, 124(1), 1-21.
Van Binsbergen, J. V., Brandt, M. & Koijen, R. (2012). On the timing and pricing of dividends. American Economic Review, 102(4), 1596-1618.
Wasilewski, M. & Żurakowska, J. (2020). The stages of firm life cycle and capital structure ratios for companies of industry. Zeszyty Naukowe SGGW, Polityki Europejskie, Finanse i Marketing, (23 (72)), 256-267.
Wasley, C. E. & Wu, J. S. (2006). Why do managers voluntarily issue cash flow forecasts? Journal of Accounting Research, 44(2), 389-429.
Weber, M. (2018). Cash flow duration and the term structure of equity returns. Journal of Financial Economics, 128(3), 486-503.
Yan, Z. & Zhao, Y. (2009). A new methodology of measuring firm life-cycle stages. International Journal of Economic Perspectives, Forthcoming.
Zainuddin, Z. & Mananohas, O. A. (2020). The Effect of Debt Policies, Profitability, Managerial Ownership Structure, and Liquidity on Dividend Policy. The Indonesian Journal of Accounting Research, 23(3), 411-428.
Zimmerman, J. L. (2013). Myth: External financial reporting quality has a first-order effect on firm value. Accounting Horizons, 27(4), 887-894.