Abstract
This paper supports two key principles of real options reasoning: (a) the value of waiting and (b) the value of staging. It tests whether real options logic applies to small firms implementing significant changes (e.g. in technology) in a model of small firm performance, estimated on data collected by interviews with entrepreneurs. We found that to achieve a higher value by waiting, a delicate balance of precipitators of change against time until exercise is necessary (e.g. if there were just one or two precipitators, then waiting would certainly raise the value). Similarly, to achieve a higher value by staging, the entrepreneur needs to balance embedding against investment time. Thus, provided that investment time is less than 1¼ years, we found that embedding will raise the value. Overall, this implies that strategic flexibility in investment decisions is necessary for good long-run performance of small firms.
Notes
Formally, Errais and Sadowsky Citation(2008) modelled their multi-stage investment process as a perpetual N-stage Bermudan option. The determination of optimal exercise time uses dynamic programming approximation techniques, for a market with both market and technical uncertainties. An option of their form can be exercised at a fixed specified date in the future, with no expiration date, see Boyarchenko and Levendorskii Citation(2002).
Specifically, Cronbach's Citation(1951) alpha was 0.78, exceeding the level recommended by Nunnally Citation(1978) of 0.7 and the data fitted yardstick measurement models (cf. Sandberg and Hofer Citation1987; Chrisman, Bauerschmidt, and Hofer Citation1998) well (; prob.
).
Though we dropped the influence of the risk-free rate of return (r) as its influence has been found to be weak, see Dixit and Pindyck Citation(1994) and Ingersoll and Ross Citation(1992). Note the value S includes future growth options, as the option is compound in nature.
This procedure was adopted because the chart of residuals against predicted values from a preliminary regression suggested an increasing relationship. A linear proportional relationship of the reciprocal of Sales to the absolute value of the residuals was found to be significant using Glesjer's test for heteroskedasticity, see Davidson and MacKinnon (Citation1993, chap. 11).