Effect on future profits of choosing a risk-free or risk-adjusted rate
A company is required to make a provision for which the expected value of the cash outflow in three years’ time is £150, when the risk-free rate (i.e. the rate unadjusted for risk) is 5%. However, the possible outcomes from which the expected value has been determined lie within a range between £100 and £200. The reporting entity is risk averse and would settle instead for a certain payment of, say, £160 in three years’ time rather than be exposed to the risk of the actual outcome being as high as £200. The measurement options to account for risk can be expressed as either:
(a) discounting the risk-adjusted cash flow of £160 at the risk-free (unadjusted) rate of 5%, giving a present value of £138; or
(b) discounting the expected cash flow (which is unadjusted for risk) of £150 at a risk-adjusted rate that will give the present value of £138, i.e. a rate of 2.8%.
Assuming that there are no changes in estimate required to be made to the provision during the three-year period, alternative (a) will unwind to give an overall finance charge of £22 and a final provision of £160. Alternative (b) will unwind to give an overall finance charge of £12 and a final provision of £150.
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