Answer:
The market price of the security is $31.81
Explanation:
In order to calculate the market price of the security if its correlation coefficient with the market portfolio doubles we would have to calculate first the following:
First, calculate the dividend expected after one year with the following formula:
D=P*E(ri)
D=$50*0.14
D=$7
Next, we would have to calculate the beta of the security using the CAAPM Equation:
βi= E(ri)-rf/E(rm)-rf
=0.14-0.06/0.085
=0.9412
Next, we have to calculate the new beta due to the change in the correlation coefficient with the following formula:
β=correlation coefficient/σm*σs
=2*0.941
=1.882
Next, Calculate the new expected return as follows:
E(ri)=rf+βi(E(rm)-rf)
=0.06+(1.882)(0.085)
=0.22
Finally we calculate the new piece of the security as follows:
P=D/E(ri)
=$7/0.22
=$31.81
The market price of the security is $31.81
