Use the Table Below to Answer the Following Questions) Develop a Nonlinear Optimization Models Model to Find the Optimal

question 56

Multiple Choice

Use the table below to answer the following questions) .
Jonathan Reese is considering three stocks in which to invest with a fixed budget. The table below provides information on Jonathan's expected returns for each stock. The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks. He expects a total return of at least 10%. $$\begin{array} { | l | r | l | l | l | l | r | } \hline \begin{array} { l } \text { Reese's Stuck } \\\text { Investment } \\\text { Plan }\end{array} & & & & & & \\\hline & & & & & & \\\hline \text { Data } & & & & \\\hline & \text { Expected } & & & { \text { Variance-Covariance Matrix } } \\\hline & \text { Return } & & & \text { Stack 1 } & \text { Stack 2 } & \text { Stack 3 } \\\hline \text { Stack 1 } & 10 \% & & \text { Stack 1 } & 0.021 & 0.018 & - 0.003 \\\hline \text { Stack 2 } & 11 \% & & \text { Stack 2 } & 0.018 & 0.070 & 0.006 \\\hline \text { Stack 3 } & 9 \% & & \text { Stack 3 } & - 0.003 & 0.006 & 0.003 \\\hline \begin{array} { l } \text { Target } \\\text { Retum }\end{array} & 10 \% & & & & & \\\hline\end{array}$$ Develop a Nonlinear Optimization Models model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
-According to the model, what is the cross-product value for Stock 3 variance?

• A) 0.00049
• B) 0.00283
• C) -0.00047
• D) 0.00074

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Definitions:

Binding Price Ceiling

A maximum legal price set below the equilibrium price, leading to shortages as demand exceeds supply.

Equilibrium Level

A situation where the balance between the market's supply and demand stabilizes prices.

Increase Efficiency

The process of improving the effectiveness of an operation, system, or process by maximizing output with the minimal amount of input or effort.

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