1. Financial reporting - fair valuation.
For financial reporting and fair valuation purposes, risk premium is defined as additional compensation sought by rational risk-averse market participants for bearing the uncertainty inherent in the cash flows of an asset or a liability.
This is a similar concept to market risk premium in the Capital asset pricing model.
More broadly, value ascribed by any market participant to a reduction in uncertainty.
This value would not necessarily be the same for all market participants.