Suppose that the market portfolio is equally likely to increase by 24% or decrease by 8%. Security "X" goes up on average by 29% when the market goes up and goes down by 11% when the market goes down. Security "Y" goes down on average by 16% when the market goes up and goes up by 16% when the market goes down. Security "Z" goes up on average by 4% when the market goes up and goes up by 4% when the market goes down. The expected return on security with a beta of 0.8 is closest to: 3.2% 6.4% 0.0% 7.2%

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amcool amcool · Answer 1 · 2020-08-15T12:35:46+02:00

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%.