Assume that a risky security pays an average cash flow of $100 in one year. The risk-free rate is 5%, and the expected return on the market index is 13%. If the returns on this security are high when the economy is strong and low when the economy is weak, but the returns vary by only half as much as the market index, what risk premium is appropriate for this security

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Business

Xander Matthews

22 November, 04:55

Assume that a risky security pays an average cash flow of $100 in one year. The risk-free rate is 5%, and the expected return on the market index is 13%. If the returns on this security are high when the economy is strong and low when the economy is weak, but the returns vary by only half as much as the market index, what risk premium is appropriate for this security

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Alec Martinez · Answer 1

The risk premium appropriate for this security is 4%.

Explanation:

The returns vary by only half as much as the market index which means that the security half as risky as the market.

The risk-premium for the security should be half of the market risk premium.

Market risk premium is calculated by = Expected return on the market - Risk free rate

Market risk premium = 13% - 5% = 8%

The risk premium on the security would be 8% / 2 = 4%