Valuing uncertain asset cash lows when there are no options: A real options approach

摘要

The real option valuation method is often presented as an alternative to the traditional discounted cash flow (DCF) approach because it is able to quantify the additional asset value arising from flexible asset management. However, these two valuation methods differ on a more fundamental level: their approach to determining the effects of cash flow uncertainty on asset value. Real option valuation adjusts for risk within the cash flow components while the DCF method discounts for risk at the aggregate net cash flow. This seemingly small difference allows the real option method to differentiate assets according to their unique risk characteristics, while the conventional DCF approach cannot. This paper presents an overview of the real options and conventional DCF frameworks for valuing uncertain cash flows. To emphasize the approaches' different treatment of risk we assume an absence of managerial flexibility. Using simple algebra, this paper demonstrates that the traditional DCF method fails to adequately discount net cash flow risk, no matter what discount rate is used. Finally, in a stylized mining example we show that DCF rales would lead a developer to forego 24.5 million dollars in value creation, at a profitability index of 1.49, by making a poor investment decision.