The market risk premium is one of the most important parameters in finance. Its value and the ways to calculate a risk premium for the market is a widely debated subject. This thesis examines numerous ways of calculating a risk premium for the Swedish market with regard to how good an estimation they make of a real risk premium. Estimations based on historical periods ranging from 20 to 85 years is calculated as well as a premium based on forward-looking estimates. The real risk premium is solved out for a selection of companies and an index with the help of CAPM. An examination of these estimates leads to the conclusion that historical estimates of a risk premium may be outdated. The implication of this is that more effort should be put into examining a risk premium based on forward-looking estimates. In this context a thorough analysis of fundamentals should be added into the calculation.