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I don't know where I wrong Suppose that the risk-free rate is 2%, and the market portfolio has an expected return of 8%. The market

I don't know where I wrong

Suppose that the risk-free rate is 2%, and the market portfolio has an expected return of 8%. The market portfolio has a variance of 0.0121. Portfolio Z has a correlation coefficient with the market of 0.45 and a variance of 0.0169. According to CAPM, what is the expected return on portfolio Z? Round off your answer to two decimal points. (i.e. "x.xx")

The expected return-beta relationship is the following:

E(ri) = rf + i * E(rm - rf)

where,

E(ri) is the expected return of asset i

E(rm) is the expected return of the market portfolio

rf is the risk-free rate

i is the beta of asset i

The expected return of portfolio Z is given by the following relationship:

E(rz) = rf + z * E(rm - rf)

The beta of the portfolio Z is given by the following relationship:

z = cov (rz , rm) / 2m = (zm * z * m )/ 2m = (zm * z ) / m

z = 0.45*(0.0169)^0.5/(0.0121)^0.5=0.532

E(rz) = 2%+0.532*(8-2)% = 5.19% (this is my answer but is wrong!!)

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