Assume that a risk-free money market account is added to the market described in Q2....

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Accounting

Assume that a risk-free money market account is added to the market described in Q2. The continuously compounded rate of return on the money market account is 0% per period.
(i) Use the method of Lagrange multipliers to determine the proportions of wealth invested in the three assets available for the minimum variance portfolio with expected return . Your answer must express the proportions as a function of .
(ii) Recall that the market portfolio has highest Sharpe ratio. Formulate the optimisation problem which characterises the market portfolio. You don't have to solve this optimisation problem.
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