Assume that the risky returns are jointly normal and use the method of Lagrange multipliers to find

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Assume that the risky returns are jointly normal and use the method of Lagrange multipliers to find the optimal location on the MVF for an investor with exponential utility, that is, maximize \(\mu-c \sigma^{2} / 2\) subject to

\[\frac{\sigma^{2}}{c_{\sigma}^{2}}-\frac{\left(\mu-\mu_{0}ight)^{2}}{c_{\mu}^{2}}=1\]

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