Abstract
This paper examines the relationship between product life cycle and book-to-market effect on cross-sectional stock returns. While previous papers suggest that the book-to-market effect is related to a firm’s market value and fundamental value, this paper examines the product life cycle, which directly affects future cash flows. We find that the book-to-market effect is stronger for firms with a long product life cycle, which is consistent with the mispricing story in explaining the book-to-market effect. We further find that the role of product life cycle is more critical for firms with high investor limited attention, and that the product life cycle in part explains intangible returns.
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Fama and French (1992) demonstrate the significant role of the book-to-market ratio in explaining average stock returns. Fama and French (1993) introduced the influential three-factor model, which includes the market risk factor, size factor, and book-to-market factor. Based on the three-factor model, Fama and French (2015) further developed the five-factor model by incorporating profitability and investment factors. Park (2019) found that the Intangible-adjusted Book-to-Market Ratio is a better predictor of cross-sectional returns compared to the traditional Book-to-Market Ratio.
Chen and Zhang (1998) indicate that value firms usually have high financial leverage and that their future earnings are uncertain. Vassalou and Xing (2004) show that the book-to-market effect only exists among the highest default risk firms. They argue that the book-to-market is largely related to financial distress.
Several papers support Zhang (2005). García-Feijóo and Jorgensen (2010) show a positive relationship between a firm’s book-to-market and operating leverage, between operating leverage and its stock return, and operating leverage and systematic risk. Overall their results support the book-to-market effect associated with systematic risk. Furthermore, Choi (2013) find that the leverage and asset betas are increased in the recession period but the growth firm’s asset betas are not sensitive to the economic conditions.
Numerous papers provide evidence showing that the book-to-market effect is due to investor mispricing. Dechow and Sloan (1997) indicate that the book-to-market effect is caused by erroneous market expectations of long-run earnings growth. Ali et al. (2003) find that the book-to-market effect is stronger in firms with higher idiosyncratic volatility, higher transaction cost, and lower investor sophistication. Griffin and Lemmon (2002) find that small firms and firms with less analyst coverage exhibit stronger book-to-market effects.
Taylor (2001) indicates that high tech firms usually have short product life cycles, and Ross et al. (2008) indicate that high-tech firms, retailers, and automotive firms have higher beta due to the large sensitivity of their revenues to different business conditions. Zhang (2015) explains that R&D expenditures are inflexible and have high adjustment costs. When R&D intensive firms face serious financial constraints, they may discontinue R&D projects, causing R&D expenditures to be positively associated with distress risk.
The idea of limited attention is that investors do not react to the information until they recognize the information. Bernard and Thomas (1989) find that the equity market underreacts to the post earnings announcement drift (PEAD). Barber and Odean (2008) demonstrate that investors are net buyers when the firm attracts their attention. Hirshleifer et al. (2018) indicate that investors undervalue a firm’s innovative originality because of their limited attention.
Prior literature has often determined the product life cycle using financial statement information (Dickinson 2011; Faff et al. 2016; Cantrell and Dickinson 2020). For instance, Dickinson (2011) identifies the life cycle based on the patterns of operating, investing, and financing cash flows. However, it is important to note that financial statement data may include noisy information, such as real earnings management (Roychowdhury 2006).
We use the industry product life cycle in our main analysis. In subSect. 3.3, we conduct the industry product life cycle only when the firm’s product life cycle is missing. The results show that our findings are robust for different product life cycle construction.
We present the factor loadings from the Fama–French five factor model in Table A2 of the Internet Appendix.
We show the results in the Table A6 of the Internet Appendix.
We show the results in the Table A7 of the Internet Appendix.
We show the results in the Table A9 of the Internet Appendix.
The decomposition was first introduced by Rhodes-Kropf et al. (2005). They use the market-to-book decomposition to investigate the link between misvaluation and investment in the form of acquisitions.
\({m}_{it}={\alpha }_{0jt}+{\alpha }_{1jt}{b}_{it}+{\alpha }_{2jt}{ni}_{it}^{+}+{\alpha }_{3jt}{I}_{\left(<0\right)}\left({ni}_{it}^{+}\right)+{\alpha }_{4jt}{LEV}_{it}+{\varepsilon }_{it}\), where \({m}_{it}\) is log market value of equity, \({b}_{it}\) is log book value of common equity, \({ni}^{+}\) is log absolute value of net income, \({LEV}_{it}\) is book leverage, and \({\varepsilon }_{it}\) is an error term. An indicator variable \({I}_{\left(<0\right)}\) is interacted with log absolute net income \({(ni)}^{+}\) to separately estimate the earnings multiple for firms with negative net income.
\({m}_{it}-{b}_{it}= {m}_{it}-v\left({\theta }_{it};{\alpha }_{jt}\right)+v\left({\theta }_{it};{\alpha }_{jt}\right)-v\left({\theta }_{it};{\alpha }_{j}\right)+v\left({\theta }_{it};{\alpha }_{j}\right)-{b}_{it}\), where i denotes firm, t denotes time, j denotes industry. \({m}_{it}\) is fundamental value. \(v\left({\theta }_{it};{\alpha }_{jt}\right)\) is fitted value from cross-sectional regression.\(v\left({\theta }_{it};{\alpha }_{j}\right)\) is predicted fundamental value which is calculated from average multiples over time. \({b}_{it}\) is book value.
References
Agarwal R, Gort M (2002) Products and firm life cycles and firm survival. Am Econ Rev 92(2):184–190
Ali A, Hwang L, Trombley M (2003) Arbitrage risk and the book-to-market anomaly. J Financ Econ 69(2):355–373
Ali A, Sandy K, Eric Y (2014) Industry concentration and corporate disclosure policy. J Acc Econ 58(2–3):240–264
Asness CS, Moskowitz TJ, Pedersen LH (2013) Value and momentum everywhere. J Finance 68(3):929–985
Baker M, Wurgler J (2006) Investor sentiment and the cross-section of stock returns. J Finance 61(4):1645–1680
Ball R, Gerakos J, Linnainmaa JT, Nikolaev V (2020) Earnings, retained earnings, and book-to-market in the cross section of expected returns. J Financ Econ 135(1):231–254
Barber BM, Odean T (2008) All that glitters: the effect of attention and news on the buying behavior of individual and institutional investors. Rev Financial Stud 21(2):785–818
Barberis N, Shleifer A, Vishny R (1998) A model of investor sentiment. J Financ Econ 49(1):307–343
Bernard V, Thomas J (1989) Post-earnings announcement drift: delayed price response or risk premium. J Acc Res 27(1):1–36
Bilir LK (2014) Patent laws, product life cycle lengths, and multinational activity. Am Econ Rev 104(7):1979–2013
Cantrell B, Dickinson V (2020) Conditional life cycle: an examination of operating performance for leaders and laggards. Manag Sci 66(1):433–451
Chen N, Zhang F (1998) Risk and return of value stocks. J Bus 71(4):501–535
Chen SS, Chen YS, Liang WL, Wang Y (2020) Public R&D spending and cross-sectional stock returns. Res Policy 49(1):103887
Chen YF, Lee CF, Lin FL (2023) The influences of information demand and supply on stock price synchronicity. Rev Quant Financ Acc 61:115–1176
Choi J (2013) What drives the value premium? The role of asset risk and leverage. Rev Financial Stud 26(11):2845–2875
Daniel K, Titman S (2006) Market reactions to tangible and intangible information. J Finance 61(4):1605–1643
Davis JL, Fama EF, French KR (2000) Characteristics, covariance, and average returns: 1929 to 1997. J Finance 55(1):389–406
DeBondt W, Thaler RH (1987) Further evidence on investor overreaction and stock market seasonality. J Finance 42(2):557–581
Dechow PM, Sloan RG (1997) Returns to contrarian investment strategies: tests of naive expectations hypotheses. J Financ Econ 41(1):3–27
Dickinson V (2011) Cash flow patterns as a proxy for firm life cycle. Acc Rev 86(6):1969–1994
Faff R, Kwok WC, Podolski EJ, Wong G (2016) Do corporate policies follow a life-cycle? J Bank Finance 69:95–107
Fama EF (1998) Market efficiency, long-term returns, and behavioral finance. J Financ Econ 49(3):283–306
Fama EF, French KR (1992) The cross-section of expected stock returns. J Finance 47(2):427–465
Fama EF, French KR (1993) Common risk factors in the returns on stocks and bonds. J Financ Econ 33(1):3–56
Fama EF, French KR (1995) Size and book-to-market factors in earnings and returns. J Finance 50(3):131–156
Fama EF, French KR (2012) Size, value, and momentum in international stock returns. J Financ Econ 105(3):457–472
Fama EF, French KR (2015) A five-factor asset pricing model. J Financ Econ 116(1):1–22
Fama EF, MacBeth J (1973) Risk, return, and equilibrium: empirical tests. J Polit Econ 81(3):607–636
García-Feijóo L, Jorgensen RD (2010) Can operating leverage be the cause of the value premium? Financ Manag 39(3):1127–1153
Gerakos J, Linnainmaa JT (2018) Decomposing value. Rev Financial Stud 31(5):1825–1854
Golubov A, Konstantinidi T (2019) Where is the risk in value? Evidence from a market-to-book decomposition. J Finance 74(6):3135–3186
Griffin JM, Lemmon ML (2002) Book-to-market equity, distress risk, and stock returns. J Finance 57(5):2317–2336
Hendricks KB, Singhal VR (1997) Delays in new product Introductions and the market value of the firm: the consequences of being late to the market. Manag Sci 43(4):422–436
Hirshleifer D, Jiang D (2010) A financing-based misvaluation factor and the cross-section of expected returns. Rev Financial Stud 23(9):3401–3436
Hirshleifer D, Hsu PH, Li D (2013) Innovative efficiency and stock returns. J Financ Econ 107(3):632–654
Hirshleifer D, Hsu PH, Li D (2018) Innovative originality, profitability, and stock returns. Rev Financial Stud 31(7):2553–2605
Hou K, David TR (2006) Industry concentration and average stock returns. J Finance 61(4):1927–1956
Hou K, Xue C, Zhang L (2015) Digesting anomalies: an investment approach. Rev Financial Stud 28(3):650–705
Huang R, Lin X, Xie Y (2023) Does CDS market price intangible asset value? Evidence from SG&A expenditure. Rev Quant Financ Acc 61:701–728
Jaffe JF, Jindra J, Pedersen DJ, Voetmann T (2019) Can mispricing explain the value premium. Financial Manag
Kogan L, Papanikolaou D, Seru A, Stoffman N (2017) Technological Innovation, resource allocation, and growth. Q J Econ 132(2):665–712
Lakonishok J, Shleifer A, Vishny R (1994) Contrarian Investment, extrapolation, and risk. J Finance 49(5):1541–1578
Lam E, Wei J (2011) Limits-to-arbitrage, investment frictions, and the asset growth anomaly. J Financ Econ 102(1):127–149
Lilien GL, Yoon E (1990) The timing of competitive market entry: an exploratory study of new Industrial products. Manag Sci 36(5):568–585
Lou D (2014) Attracting investor attention through advertising. Rev Financial Stud 27(6):1797–1829
Mitchell ML, Stafford E (2000) Managerial decisions and long-term stock price performance. J Bus 73(3):287–329
Moreira S, Markus A, Laursen K (2018) Knowledge diversity and coordination: the effect of intrafirm inventor task networks on absorption speed. Strateg Manag J 39(9):2517–2546
Moyer RC, Chatfield RE, Sisneros PH (1989) Security analyst monitoring activity: agency costs and information demands. J Financial Quant Anal 24(4):503–512
Newey WK, West KD (1987) A simple, positive semi-definite, heteroskedasticity and autocorrelation consistent covariance matrix. Econometrica 55(3):703–708
Park H (2019) An intangible-adjusted book-to-market ratio still predicts stock returns. Crit Finance Rev 25(1):207–236
Polli R, Cook V (1969) Validity of the product life cycle. J Bus 42(4):385–400
Rhodes-Kropf M, Robinson D, Viswanathan S (2005) Valuationwaves and merger activity: the empirical evidence. J Financ Econ 77(3):561–603
Rosenberg B, Reid K, Lanstein R (1985) Persuasive evidence of market inefficiency. J Portf Manag 11(3):9–16
Ross SA, Westerfield RW, Jaffe J (2008) Corporate Finance, 8th edn. McGraw-Hill Irwin, New York
Roychowdhury S (2006) Earnings management through real activities manipulation. J Acc Econ 42(3):335–370
Sharpe WF (1964) Capital asset prices: a theory of market equilibrium under conditions of risk. J Finance 19(3):425–442
Sims CA (2003) Implications of rational inattention. J Monet Econ 50(3):665–690
Sims CA (2006) Rational inattention: beyond the linear-quadratic case. Am Econ Rev 96(2):158–163
Stambaugh RF, Yuan Y (2017) Mispricing factors. Rev Financial Stud 30(4):1270–1357
Stambaugh RF, Yu J, Yuan Y (2012) The short of it: Investor sentiment and anomalies. J Financ Econ 104(2):288–302
Taylor TA (2001) Channel coordination under price protection, midlife returns, and end-of-life returns in dynamic markets. Manag Sci 47(9):1220–1234
Vassalou M, Xing Y (2004) Default risk and equity returns. J Finance 59(2):831–868
Vlastakis N, Markellos R (2012) Information demand and stock market volatility. J Bank Finance 36(6):1808–1821
Wang J, Huang Y, Feng H, Yang J (2023) The effect of customer concentration on stock sentiment risk. Rev Quant Financ Acc 60:565–606
Zhang L (2005) The value premium. J Finance 60(1):67–103
Zhang W (2015) R&D investment and distress risk. J Empir Financ 32(8):94–114
Acknowledgments
We thank two anonymous reviewers, Konan Chan, Hung-Kun Chen, Sheng-Syan Chen, Yan-Shing Chen, Po-Hsuan Hsu, Chia-Wei Huang, Wei-Chuan Kao, Cheng-Few Lee (the editor), Woan-lih Liang, and seminar and conference participants in 2019 NCTU International Finance Conference and National Chiao Tung University for their valuable comments. This work was financially supported by the Center for Research in Econometric Theory and Applications (Grant no. 112L900201) from The Featured Areas Research Center Program within the framework of the Higher Education Sprout Project by the Ministry of Education in Taiwan. This work was also supported by Ministry of Science and Technology in Taiwan (NSTC 112-2410-H-002 -151 -MY2).
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Hu, MC., Huang, A.Y., Wang, Y. et al. Book-to-market effect and product life cycle. Rev Quant Finan Acc (2024). https://doi.org/10.1007/s11156-024-01270-8
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DOI: https://doi.org/10.1007/s11156-024-01270-8