A dynamic model for valuing flexible mining exploration projects under uncertainty
Introduction
The mining industry operates as a segmented business divided into prospectors, junior mining firms and majors. Greenfield exploration is typically conducted by prospectors, who seek to identify areas that have potential for further development. Once such a site is identified, junior mining firms raise capital in the market in order to perform the geological and geophysical surveys, tests, drilling and sampling that are required to assess the value and the full extent of the reserves, so it can be sold to a major who will actually build and explore the mine.
After years of steady growth that began after the turn of the millennium, by the middle of the second decade, the mining industry worldwide began facing a more challenging economic environment due to high volatility and a sharp reduction in metal prices. Many mining projects, especially those in the early exploration stage of Junior mines, found it difficult to fund their capital investment needs as investors became unsure of the value the project would generate. This uncertainty can be observed in the behavior of the stock prices of Junior mines. Fig. 1 illustrates the evolution of prices from 2011 to 2016 of an Exchange Traded Fund (ETF) that follows a set of junior mining companies worldwide, where the long term negative trend and high price volatility in this period can be observed. This fund was liquidated in 2016 due to the lack of market liquidity for these stocks.
Mining projects are long term irreversible capital investments that operate in a highly uncertain environment and present significant managerial flexibility. It is a well-known fact that managerial flexibility has option like characteristics, and as such, may add value to a project. Given that traditional project valuation techniques such as the Discounted Cash Flow method (DCF) do not capture the value of this flexibility, this class of projects may be undervalued unless option pricing methods, such as the real options approach, are applied. It is worth noting that the ETF index follows closely metal prices, as represented by the metals and mining Index in Fig. 2, which further suggests that valuation reports provided to the market or investors are done using mainly traditional DCF methods.
Mining projects are subject to both private and market risks. Private risks include the uncertainty over the potential exploration volume of the field, the quality of the ore, socioeconomic and environmental factors that may appear due to the needs and influence of the communities located in the vicinity of the project and others. As these uncertainties are uncorrelated with the market, it is assumed they are fully diversifiable, and thus, command no risk premium to the investor. On the other hand, the main source of market uncertainty in a mining project is the future evolution of market prices of the metal or commodity being explored.
Typical flexibilities associated with mining projects are the option to defer the investment to a future date, split the investment in different stages, expand the operations if market conditions are favorable, temporarily suspend production if commodity prices fall below a certain threshold, or even abandon the project at any time if results are expected to be permanently lower than expected.
In this article we develop a dynamic valuation model for this class of projects that takes into account the uncertainty in future prices and incorporates the value of any managerial flexibility that may be embedded in the project. Project uncertainties are modeled as stochastic diffusion processes in a binomial lattice and the managerial flexibilities are incorporated in a decision tree model using DPL™ software.
We apply this model to the case of a Junior silver mining project in Peru which has several embedded options in order to determine its market value and optimal investment strategy. We assess these options, first individually, and then jointly, and determine their impact on the project value. Finally, we compare the current value of the firm to the market value the firm would have considering the real options embedded in the project. The results indicate that when the project flexibilities are taken into account, the project NPV increases significantly. For example, the NPV of the base case project without consideration of options is a negative $1.05 million, which would indicate that the project should not be undertaken. However, when the impact of all the embedded options is considered, the value of these options add $11.61 million to the project, increasing the NPV from $ −1.05 million to $10.56 million.
It is common practice in the mining industry to ignore the value of any embedded managerial flexibilities in junior mine projects. This occurs due to the fact that the main valuation method used to assess a project´s value is the Discounted Cash Flow (DCF) method, which does not capture the value of flexibility. This paper presents an alternate method for evaluating this class of projects which is replicable to similar cases in the industry. These results can be of use to junior mining concerns that list their shares in the market in order to raise capital to finance their projects, as it can provide investors a more accurate estimate of the true value of the firm and the economic feasibility of the project.
This paper is organized as follows. After this introduction, we present a brief review of real options literature applied to mining projects, and in section three we introduce the model as applied to a case study of an actual mine in Peru where we analyze the main uncertainties of the project. In section four we determine the value of the existing options, and in section five we analyze the results and present our conclusions.
Section snippets
Review of the literature
Valuation of mining projects, especially exploration projects, has been a difficult task for mining firms. The most common method used to value mining projects is the Discounted Cash Flow (DCF) method, which assesses the project´s expected future production and commodity price behavior, but does not capture the value of any managerial flexibility that may be embedded in the project, and thus, may lead to undervaluation of the project. Managerial flexibility has option-like characteristics, and
Model and application
We develop a dynamic ROA model and apply it to the case of a junior mining project in Peru which has a large potential for the production of silver, and also some zinc and lead. Considering that 80% of potential production is silver, we make the simplifying assumption that this metal is the only one to influence the value of the project and disregard the others. We assume the project has the flexibility to defer the investment, to invest in two stages, to abandon the project at any time and to
Project value considering embedded options
One of the most common and simplest tools for ROA is the binomial tree model of Cox et al. (1979) (CRR). Although this method was developed to price financial assets, it is widely used to price real options due to its simplicity and ease of use. The CRR method assumes that changes in value of the underlying asset follow a geometric Brownian motion (GBM) diffusion process.
We build the CRR binomial decision tree using the DPL software. We model and value the base case underlying asset (project
Conclusions and final observations
In this paper we developed a dynamic real options model for the valuation of flexible mining projects, and show that the impact of this flexibility, which is not captured by traditional valuation methods, can be significant, and in some cases even affect firm´s market value, as can be seen in the application of the model.
Our results indicate that if the value of the embedded options is not taken into account, the DCF valuation would recommend that the project not be undertaken, as the NPV of
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