Answer:
The expected return on security with a beta of 0.8 is closest to 7.2%.
Explanation:
This can be determined as follows:
Since the return of security Z remains at 4% despite the change in the market, security Z is the risk-free asset.
Note that a risk free asset is an asset which its returns does not change with change in the market.
Using the Capital Asset Pricing Model (CAPM) formula, we have:
Er = Rf + (B * MPR) ............................................ (1)
Where;
ER = Expected return = ?
Rf = Risk-free rate = Rate of return of security z = 4%
B = Beta = 0.8
MPR = Market risk premium = Expected return on the market rate - Risk-free rate
Expected return on the market rate = (50% * 24%) + (50% *(-8%)) = 8%
Therefore, we have:
MPR = 8% - 4% = 4%
Substituting the values into equation (1), we have
Er = 4% + (0.8 * 4%)
Er = 0.072, or 7.2%
Therefore, the expected return on security with a beta of 0.8 is closest to 7.2%.