A mutual fund company has cash resources of birr 200 million for investment in a diversified portfolio. Table below shows the opportunity available, their estimated yields, risk factors and term period of details.    Annual yield (%)  Risk Factor  Time period ( years) Bank deposit 9.5 0.02 6 treasury notes 8.5 0.01 4 corporate deposits 12.0 0.08 3 blue chip stocks 15.0 0.25 5 speculative stocks 32.5 0.45 3 real estates 35.0 0.04 10 Formulate the L.P. model to find the optimal portfolio that will maximize return, considering the following policy guidelines: i) All funds available may be invested ii) Weighted average period of at least 5 years should be the planning horizon iii) Weighted average risk factor must not exceed 0.20 iv) Investment in real estate and speculative stocks together must not be more than 25% of the money invested

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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A mutual fund company has cash resources of birr 200 million for investment in a diversified portfolio. Table below shows the opportunity available, their estimated yields, risk factors and term period of details. 

  Annual yield (%)  Risk Factor

 Time period ( years)

Bank deposit 9.5 0.02 6
treasury notes 8.5 0.01 4
corporate deposits 12.0 0.08 3
blue chip stocks 15.0 0.25 5
speculative stocks 32.5 0.45 3
real estates 35.0 0.04 10

Formulate the L.P. model to find the optimal portfolio that will maximize return, considering the following policy guidelines:

i) All funds available may be invested

ii) Weighted average period of at least 5 years should be the planning horizon

iii) Weighted average risk factor must not exceed 0.20

iv) Investment in real estate and speculative stocks together must not be more than 25% of the money invested 

1. A mutual fund company has cash resources of birr 200 million for investment in a
diversified portfolio. Table below shows the opportunity available, their estimated
yields, risk factors and term period of details.
Annual yield (%)
Risk factor
Time period(years)
Bank deposit
Treasury notes
Corporate deposits
Blue chip stocks
Speculative stocks
Real estates
9.5
0.02
8.5
0.01
0.08
4
3
12.0
15.0
32.5
0.25
0.45
35.0
0.04
10
Formulate the L.P. model to find the optimal portfolio that will maximize return,
considering the following policy guidelines:
i)
ii)
iii)
iv)
All funds available may be invested
Weighted average period of at least 5 years should be the planning horizon
Weighted average risk factor must not exceed 0.20
Investment in real estate and speculative stocks together must not be more
than 25% of the money invested
Transcribed Image Text:1. A mutual fund company has cash resources of birr 200 million for investment in a diversified portfolio. Table below shows the opportunity available, their estimated yields, risk factors and term period of details. Annual yield (%) Risk factor Time period(years) Bank deposit Treasury notes Corporate deposits Blue chip stocks Speculative stocks Real estates 9.5 0.02 8.5 0.01 0.08 4 3 12.0 15.0 32.5 0.25 0.45 35.0 0.04 10 Formulate the L.P. model to find the optimal portfolio that will maximize return, considering the following policy guidelines: i) ii) iii) iv) All funds available may be invested Weighted average period of at least 5 years should be the planning horizon Weighted average risk factor must not exceed 0.20 Investment in real estate and speculative stocks together must not be more than 25% of the money invested
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