Given Information:
Market price of security = $25
Expected rate = 12%
Risk-free rate = 4%
Market risk premium = 6%
Answer:
New market price of security = $15.03
Explanation:
The new market price of security can be calculated by,
P = Dividend/Expected return
Where Dividend is given by
Dividend = Market price*Expected rate
D = $25*0.12
D = 3$
Expected return is given by
Expected return = Risk-free rate + β*(market risk premium)
β can be calculated as
β = (Expected rate - Risk-free rate)/market risk premium
β = (12 - 4)/6
β = 1.33%
Since it is given that correlation coefficient with the market portfolio doubles, therefore, β will get doubled too because they are directly proportional.
β = 2*1.33%
β = 2.66%
So the Expected return is
Expected return = 4 + 2.66*(6)
Expected return = 19.96%
So the new market price of security is,
P = Dividend/Expected return
P = 3/0.1996
P = $15.03
