Firm Valuation Over Lifecycle: A Perspective on Growth Option

AuthorQiang Li,Yong Zeng,Hao Liu
DOIhttp://doi.org/10.1111/ajfs.12236
Date01 October 2018
Published date01 October 2018
Firm Valuation Over Lifecycle: A Perspective
on Growth Option*
Hao Liu
School of Management and Economics, University of Electronic Science and Technology, China
Qiang Li**
School of Management and Economics, University of Electronic Science and Technology, China
Yong Zeng
School of Management and Economics, University of Electronic Science and Technology, China
Received 4 April 2018; Accepted 9 June 2018
Abstract
This paper investigates the roles of the dynamic of growth options in determining possible
change trends of firm valuation over a firm’s lifecycle. The theoretical results show that the
gradual exercising of endowed growth options will cause a downward trend of firm valuation
over lifecycle, while the creating of new growth options can mitigate the downward trend. In
particular, there may be an upward trend of firm valuation for firms able to continually cre-
ate growth options over time. The evidence on 2354 Chinese listed firms during the period
of 19982015 supports theoretical predictions well.
Keywords Capital investment; Firm lifecycle; Firm valuation; Growth option; R&D expendi-
ture
JEL Classification: G10, G30
1. Introduction
Generally speaking, a firm will gradually run out of its growth opportunities as it
becomes mature (Fama and French, 2001; DeAngelo et al., 2006). Meanwhile, a
*This paper benefited from the comments and suggestions provided by the editor and anony-
mous referees, as well as from seminar participants at the 10th, 12th, and 13th International
Symposium on Financial System Engineering and Risk Management and the 11th and 13th
Chinese Finance Annual Meeting. This work was supported by the National Natural Science
Foundation of China (Grant no. 71102054 and 71472025) and The Fund for Cultural Celeb-
rity and Talents (Grant no. 2015/49). All errors are those of the authors.
**Corresponding author: School of Management and Economics, University of Electronic
Science and Technology of China. Tel: +86-139-0821-9395, Fax: +86-28-6183-0901, email:
liq@uestc.edu.cn.
Asia-Pacific Journal of Financial Studies (2018) 47, 720–743 doi:10.1111/ajfs.12236
720 ©2018 Korean Securities Association
firm can renew its growth opportunities as a result of technological innovation that
is an important determinant of a firm’s long-term core competitiveness (Dosi,
1988). R&D investment not only has the potential to improve firm valuation
(Szewczyk et al., 1996), but also enable firms to survive in the market in the longer
term (Garc
ıa-Quevedo et al., 2014).
The purpose of this paper is to explore how the dynamic of growth opportuni-
ties over a firm’s lifecycle determines the possible change trends of its market valua-
tion. In general, as a firm gradually exercises its limited growth opportunities, its
market valuation will present a downward trend. However, some firms do not just
passively conform to the reduction or even the disappearance of growth opportuni-
ties, they are able to actively create new growth opportunities by innovation activi-
ties to avoid being driven out of the market. As a result, the decrease of firm
valuation over the firm’s lifecycle will be slowed down and the market valuation of
firms continually engaging in R&D investment may exhibit an upward trend as
their lifecycle proceeds.
Existing empirical evidence suggests that firm valuation will decline over
time, and there are five possible reasons for this phenomenon. The first explana-
tion is related to uncertainty about profitability and investors’ learning. Where
the market-to-book ratio (MB ratio) tends to decrease with a firm’s listing age,
Pastor and Veronesi (2003) demonstrate that a firm’s MB ratio is positively
related to uncertainty about average profitability, and argue that the uncertainty
as well as the MB ratio will decline over time for the reason that rational inves-
tors will gradually update their beliefs relating to uncertainty about profitability
over time.
The second explanation is related to initial public offering (IPO) timing.
1
Chay
et al. (2015) find that MB ratio will decrease with firm age after IPO on the Korean
stock market. Because private firms can choose an optimal time to go public when
their expected future profitability is sufficiently high, it is the decrease of post-IPO
profitability that results in a decline of firm valuation after IPO.
The third explanation that is most relevant to our paper is the argument based
on the relation between organizational inflexibility and the creation of growth
opportunities over firm lifecycle. Loderer et al. (2016) argue that firms are inclined
to be optimally more rigid over time in order to focus on managing assets-in-place
efficiently rather than on finding new growth opportunities, and hence a fall of
Tobin’s Qis exactly the result of the inability of managers to renew growth oppor-
tunities over time.
The last two explanations are consistent with the financial constraint hypothesis
and agency problem hypothesis, respectively. Cooley and Quadrini (2001) point out
that firms with financial constraint prefer to undertake the most valuable projects
first and then the less valuable projects are undertaken as financial constraint is
1
See literatures such as Jain and Kini (1994), Pastor et al. (2009) and Chemmanur et al.
(2010).
Firm Valuation Over Lifecycle
©2018 Korean Securities Association 721

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