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A Financial Planner Wants to Design a Portfolio of Investments

question 21

Essay

A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio. A financial planner wants to design a portfolio of investments for a client. The client has $400,000 to invest and the planner has identified four investment options for the money. The following requirements have been placed on the planner. No more than 30% of the money in any one investment, at least one half should be invested in long-term bonds which mature in six or more years, and no more than 40% of the total money should be invested in B or C since they are riskier investments. The planner has developed the following LP model based on the data in this table and the requirements of the client. The objective is to maximize the total return of the portfolio.   ​ Formulate the LP for this problem.
Formulate the LP for this problem.

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Definitions:

Type A Personality

Type A Personality is characterized by traits such as high competitiveness, self-imposed stress, impatience, and a sense of urgency, often linked to a higher risk of heart disease.

Type B Personality

A personality type characterized by a relaxed, less competitive approach to life, as opposed to the more stressed and goal-oriented Type A personality.

Cardiovascular Disease

A class of diseases that involve the heart or blood vessels, including coronary artery disease, hypertension, heart failure, and others.

Regular Exercise

A routine of physical activity that is maintained over time to improve or maintain one's physical fitness, health, and well-being.

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