x1 + x2 = 1. So, x2 = 1 - x1
The beta of the portfolio is the systematic risk, which is zero.
Beta of the portfolio = x1 * beta of asset a + x2 * beta of asset b
0 = x1 * 1.5 + x2 * 0.5
0 = (1 - x2) * 1.5 + 0.5 x2
0 = 1.5 - 1.5x2 + 0.5x2
0 = 1.5 - x2
x2 = 1.5
The value of x2 = 1.5
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