In the portfolio problem with the same choice of parameters (t=1, r=.05, mu=.06, sigma=.03), how large should

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In the portfolio problem with the same choice of parameters \(t=1, r=.05, \mu=.06, \sigma=.03\), how large should \(a\) be so that it is optimal to keep at least half of the initial wealth in the non-risky asset?

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