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

question 69

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 expected variance of the resulting portfolio?

• A) 0.014
• B) 0.010
• C) 0.009
• D) 0.012

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Definitions:

General Welfare

General welfare refers to the overall health, prosperity, and happiness of a population.

Invisible Hand Principle

Adam Smith's concept that individuals' self-interested actions can lead to positive social and economic outcomes, guided as if by an invisible hand.

Economic Welfare

The overall well-being and standard of living of people in an economy, typically measured by indicators like wealth, health, and happiness, alongside economic factors.

Competitive Market

A market structure characterized by a large number of buyers and sellers, free entry and exit, and products that are similar but differentiated.