Page 287 - Introduction to Mineral Exploration
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270   B. SCOTT & M.K.G. WHATELEY



                  project. What is the probability of finding and  is not a single, unique value) but variables.
                  developing a series of such short life, high re-  Consequently mineral valuation comprises a
                  turn mineral deposits? The long-term future of  series of uncertain decisions and the risk of
                  the company may be better served by choosing  these decisions being wrong can be assessed.
                  the mineral project with the lower DCF. Lastly,
                  there is the condition of selecting a series of  11.6.1  Risk analysis
                  small projects with high DCF. Small projects
                  often require the same management time and  Qualitative assessment
                  attention as larger ones. With a finite amount
                  of time its effective use will tend towards large  Adjustment of discount rates for NPV
                  projects with, perhaps, lower DCF rather than  and DCF
                  a series of smaller schemes.                A commonly used overall method of allowing
                    In summary, the objective of valuation is to  for risk is to use an abnormally high discount
                  summarize and convey to management in a     rate in the valuation:
                  single determinant a quantitative summary of
                  the value of a mineral deposit. Clearly there is  Safe long term rate + risk premium rate
                  no single perfect method of assessing this and  = risk rate
                  good management uses every available rel-
                  evant method and is aware of their inherent  For instance if the accepted minimum valua-
                  weaknesses and strengths. In the final analysis  tion rate is 15% DCF and there is a perceived
                  in the evaluation of mineral projects there is no  risk, an added rate is included to bring this
                  substitute for sound managerial judgement.  minimum to, say, 23%. This is the simplest
                                                              method of allowing for risk but also the least
                                                              satisfactory as the added rate is a matter of per-
                  11.6  RISK                                  sonal judgement; its determination with any
                                                              degree of accuracy is impossible.
                  Risk pervades our entire life and the way we
                  act. It can be described in two ways – either  Adjustment of costs
                  with qualitative expressions (it’s a sure thing,  A danger here is that of overadjusting. Consider
                  we have a fair chance of discovery in the Upper  a mineral valuation where as a safety factor it is
                  Palaeozoic, etc.) or in a quantitative sense us-  decided to increase the best estimate of operat-
                  ing probability. A probability of 1.0 means that  ing costs, to reduce ore grade and selling prices,
                  the event will occur while 0.0 means that it  and apply a high discount rate as an additional
                  will  never happen; negative probabilities do  risk allowance. It will have to be a remarkable
                  not exist. A probability of 0.31 means that  project to survive such treatment.
                  there are 31 chances in 100 that the event will  A better approach is to calculate a base case
                  occur and 69 in 100 that it will not. What is an  from the most accurate information available.
                  acceptable risk? Risk is very much a personal  Risk factors are then added in a  sensitivity
                  assessment. For instance many people would  analysis (Box 11.3) by considering the variable
                  not work in an underground mine because it is  components one at a time while all others are
                  seen as being dangerous, yet every day accept  kept constant. In any evaluation certain com-
                  higher risks such as dying from fire in the home  ponents have a greater effect upon the size of
                  or in a road accident (Rothschild 1978).    the cash flow (and hence value) than others and
                    In the previous section four methods of   the purpose of a sensitivity analysis is to
                  analyzing cash flows in the valuation of miner-  identify them so that further investigations can
                  alisation were presented. The projected cash  improve their reliability (i.e. make them less
                  flows were assumed to occur (i.e. probability =  risky). Commonly grade is varied increment-
                  1.0) and they did not include quantitative state-  ally, as are other components such as extrac-
                  ments of risk: they were treated as decisions  tion cost, mineral recovery, etc.
                  under certainty. However the valuation of min-  The most significant component is revenue
                  eralisation involves the introduction of many  which is dependent upon the future sales price
                  factors (grade, tonnage, mining cost, transport  of the product and this is the most difficult to
                  cost, etc.) which are not constants (i.e. there  forecast. Capital and operating costs only move
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