A risk premium is the minimum amount of money by which the expected return on a risky asset must exceed the known return on a risk-free asset, or the expected return on a less risky asset, in order to induce an individual to hold the risky asset rather than the risk-free asset. Thus it is the minimum willingness to accept compensation for the risk.
The certainty equivalent, a related concept, is the guaranteed amount of money that an individual would view as equally desirable as a risky asset.
Read more about Risk Premium: Formal Definitions, Example, Finance
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