You plan to invest in a Hedge Fund, which has total capital of $500 million invested in 5 stocks:

Stock	Investment	Beta
A	$140 million	0.95
B	$120 million	1.85
C	$100 million	1.60
D	$80 million	1.10
E	$60 million	0.95

The risk free rare is 4.50% and you believe the following probability ditribution for future market returns is realistic:

Probability	Market Return
0.1	4%
0.2	5%
0.4	7%
0.2	9%
0.1	10%

What is the market required return of the fund portfolio?