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Multiplicative Risk Premiums

Authors: Douglas D. Gregory;

Multiplicative Risk Premiums

Abstract

The certainty-equivalent method of evaluating risky investments has been widely discussed in the literature ([2], [5], [14, p. 356], [19], [20]) and consists of applying a multiplicative factor, α t , to each period's expected cash flow, μ t , to produce a certainty-equivalent flow, α t μ t . The certainty-equivalent flow is then discounted with the riskless rate of interest, α t μ t /(l + i) t . Although there has been much discussion of α t , researchers have not derived explicit expressions for α t , relying instead on ad hoc graphs [24, p. 328] or arguments involving mean-variance indifference curves [2] which may not even exist ([4], [12], [22], [23]). In this paper, I will (1) provide a rigorous definition of α t , (2) derive formal expressions for a for α t three special cases, (3) discuss relationships between α t and σ t , the standard deviation of the period t cash flow, (4) formally derive the period t risk-adjusted discount rate, k t , from assumptions concerning the decision maker's (d. m.'s) risk preferences and cash flow distribution, and (5) apply the preceding results to a specific problem involving calculation of the risk-adjusted present value of an uncertain cash flow stream.

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Powered by OpenAIRE graph
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
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