In: Finance
Consider the following information and then calculate the required rate of return for the Global Equity Fund, which includes 4 stocks in the portfolio. The market's required rate of return is 10.25%, the risk-free rate is 6.45%, and the Fund's assets are as follows: Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72. Stock Investment Beta A $215,000 1.25 B $375,000 0.75 C $575,000 –0.45 D $1,055,000 2.18
required rate of return of a stock = risk free rate+ Beta*(market return- risk free rate)
So required rate of return of a stock A = risk free rate+ Beta*(market return- risk free rate)
=6.45+1.25*(10.25-6.45)
=6.45+1.25*3.8
=11.20%
required rate of return of a stock B = risk free rate+ Beta*(market return- risk free rate)
=6.45+0.75*(10.25-6.45)
=6.45+0.75*3.8
=9.30%
required rate of return of a stock C = risk free rate+ Beta*(market return- risk free rate)
=6.45-0.45*(10.25-6.45)
=6.45-0.45*3.8
=4.74%
required rate of return of a stock D = risk free rate+ Beta*(market return- risk free rate)
=6.45+2.18*(10.25-6.45)
=6.45+2.18*3.8
=14.73%
Weightage of A = 215000/(215000+375000+575000+1055000)
=215000/2220000 =9.69%
Weightage of B = 375000/(215000+375000+575000+1055000)
=375000/2220000 =16.89%
Weightage of C = 575000/(215000+375000+575000+1055000)
=575000/2220000 =25.90%
Weightage of D = 1055000/(215000+375000+575000+1055000)
=1055000/2220000 =47.52%
expected return of portfolio= weight A * expected return of A+weight B * expected return of B+weight C * expected return of C+weight d * expected return of d
=0.0969*11.20+0.1689*9.3+0.2590*4.74+0.4752*14.73
=1.09+1.57+1.23+7.00=10.88%