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Journal of Business Economics
Erschienen in: Journal of Business Economics 9/2015

01.12.2015 | Original Paper

Investment timing under political ambiguity

verfasst von: Andreas Welling, Elmar Lukas, Stefan Kupfer

Erschienen in: Journal of Business Economics | Ausgabe 9/2015

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Abstract

In addition to economic risks, the economic success of investments often critically depends on the uncertain results of future political regime switches. Therefore, it is essential that policy makers, who design tax schemes or subsidy payments, understand the combined effects of risk and ambiguity on an investor’s investment behavior given subjective estimations and individual preferences. Using a practical example from the shipping industry, we set up a real options model that takes into account two sources of uncertainty, economic risk as well as political uncertainty regarding an imminent regime switch. We calculate the option value of the investment possibility subjectively estimated by the investor and derive the optimal investment-timing strategy. Furthermore, we analyze both the sole as well as the combined influence of economic risk, the investor’s subjective assessment of political risk and political ambiguity on both the option value and the investment-timing strategy.
Vorheriger Artikel DEA efficiency of German savings banks: evidence from a goal-oriented perspective
Nächster Artikel Fraud characteristics and their effects on shareholder wealth

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From January 2013, the Zeitschrift für Betriebswirtschaft (ZfB) is published in English under the title Journal of Business Economics (JBE). The Journal of Business Economics (JBE) aims at encouraging theoretical and applied research in the field of business economics and business administration, promoting the exchange of ideas between science and practice.

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Fußnoten
1
See e.g. EME Research Group (2013) for a brief definition.
 
2
An alternative interpretation of the modulation of political uncertainty indicates that the decision-maker at first considers a set of possible probability distributions and then in a second step consolidates them into a single probability distribution following his ambiguity preference. The degree of ambiguity is determined by the spread of the set of possible probability distributions. Of course, this set has to be defined, which can be done by specifying a certain probability distribution and a spread around it, as we do it. The degree of political risk is defined by the spread of the possible values of the consolidated probability distribution in the alternative interpretation which is equal to the degree of political risk in our model.
 
3
For example, Yun and Baker (2009) and Patiño-Echeverri et al. (2007) deal with the investment into new power plants if carbon emissions are costly. Similarly, Insley (2003) and Abadie and Chamorro (2008) apply the real options methodology to investments that reduce carbon emissions. Kumbaroğlu et al. (2008) set light on the diffusion of renewable energies under uncertainty. Cortazar et al. (2013) determine when it is optimal to invest in emission reducing technologies if the emission of pollutants is costly or restricted. Bastian-Pinto et al. (2009) and Pederson and Zou (2009) deal with investments in the production of biofuel, where input prices and sales prices are evolving stochastically over time.
 
4
There is strong empirical evidence that commodity prices show a mean-reverting behavior (see e.g Schwartz 1997).
 
5
This assumption can be economically justified because due to blending obligations the largest proportion of biofuel is blended to standard fuels in lower concentration (E10, etc.) and therefore the prices of biofuel track the standard fuel price (see Tao and Aden 2009). Furthermore, we assume, that the slightly worse efficiency of biodiesel compared to standard diesel is already considered in ξ.
 
6
In contrast to the other two important option valuation techniques, i.e. risk-neutral pricing and the contingent-claims approach, the dynamic programming approach does not depend on the investor’s ability to replicate the company’s cash flows. Thus, it is a suitable tool to determine especially the value of real options as pricing real options is usually biased by incompleteness (usually the investment opportunity is not traded on the market and cannot be perfectly replicated by existing assets). Furthermore, contrarily to the contingent claims approach or the risk-neutral pricing approach dynamic programming requires assumptions about the risk-preferences of the decision-maker. In order to avoid the complicated use of more complex risk-preferences we made the assumption of risk-neutrality. Furthermore, this assumption supports the analysis of different possible ambiguity-preferences of the decision-maker.
 
7
To assure the tractability of the model we simplify the political process by assuming that coalition negotiations and the legislative process do not require time and that laws come into force immediately. Furthermore, we assume that the topic of biofuel subsidies will only be of interest in this election (and not in following ones) and that the election date is fixed.
 
8
The intermediate steps of the transformations in Eqs. (18), (22), (26), and (30) as well as the derivations of the option values for the different decision rules in Sects. 2.2 and 2.3 can be requested from the authors.
 
9
It should be noted that by applying this approach we make use of the assumption of a risk-neutral decision-maker. In particular, under risk-neutrality it does not matter if all possible probability distributions are consolidated to a single distribution first, which then is used for further calculation, or if the expected utilities of the possible distributions are determined first, which then are consolidated to a single expected utility.
 
10
Due to a slightly lower efficiency of biodiesel compared to ordinary diesel (approximately 10 %) we get \(\xi = 0.024.\)
 
11
We especially thank the DMS (Deutsche Möbelspedition) for providing all relevant data.
 
12
Thus, we get x = 46.800 and I v  ≈ 10.000.
 
13
Obviously, the non-scheduled elections of September 2005 initiated by chancellor Schröder in May 2005 could not have been predicted in 2004. Hence, T = 2.
 
14
In 2006 the new government formed by the grand coalition indeed decided to phase out the tax advantage.
 
15
The Crank-Nicolson method (see Crank and Nicolson 1947) is a numerically stable method to determine the solution of a partial differential equation. It is especially suited to numerically solve the heat equation and related problems. The Crank-Nicolson method is combining the Euler method and the Backwards Euler method and therefore is an implicit method of second degree.
 
16
It is noteworthy to state that economic risk is induced by σ > 0 and is only mitigated by an increase in κ. In the case of σ = 0 there is no economic risk regardless of the size of κ. Hence, we will in the following concentrate on the influence of σ when referring to economic risk.
 
17
In the given practical example x(t) is monotonically increasing over time. However, if x(t) would be decreasing over time the deterministic change in x(t) would favor earlier investment.
 
18
Thereby, we will perform a mean-preserving spread, i.e. we will always hold \(\frac{{\omega_{pos} + \omega_{neg} }}{2}\) constant when increasing \(\Delta \omega = \omega_{neg} - \omega_{pos}\).
 
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Metadaten
Titel
Investment timing under political ambiguity
verfasst von
Andreas Welling
Elmar Lukas
Stefan Kupfer
Publikationsdatum
01.12.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Business Economics / Ausgabe 9/2015
Print ISSN: 0044-2372
Elektronische ISSN: 1861-8928
DOI
https://doi.org/10.1007/s11573-015-0771-7

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