Problem 5. You have to determine an investment strategy for the next three years. At present (time 0) the amount of $100,000 is available for investment. Five investments are available. The cash flows associated with investing $1 in each of them are given in the table below. At most $75,000 can be placed in any single investment. Returns from investments can be reinvested immediately. Cash earns 8% per year. The cash flows are given in the table below. Time 3 $0.50 $0.00 -$1.00 Investment C| -$1.00 | $1.20 $0.00 Investment A -$1.00 $0.00 $1.00 $0.50 $1.00 $0.00 $0.00 $0.00 $1.90 $0.00 -$1.00 $1.50 Investment B -$1.00 $0.00 Investment D Investment E This table should be read as follows: every dollar committed to Investment A causes outflow of $1 at time 0 (now), inflow of $0.50 at time 1, and inflow of $1 at time 2. Each dollar committed to Investment B results in outflow of $1 at time 1, inflow of $0.50 at time 2, and inflow of $1 at time 3, etc. Money obtained from Investment A at time 1 can be used to invest in B. Formulate a linear optimization model for designing an optimal investment strategy. Clearly describe all variables and constraints. Solve the problem in Excel or any other software.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Problem 5. You have to determine an investment strategy for the next three years. At
present (time 0) the amount of $100,000 is available for investment. Five investments
are available. The cash flows associated with investing $1 in each of them are given in
the table below. At most $75,000 can be placed in any single investment. Returns from
investments can be reinvested immediately. Cash earns 8% per year.
The cash flows are given in the table below.
Time
3
$0.50
$0.00 -$1.00
Investment C| -$1.00 | $1.20
$0.00
Investment A
-$1.00
$0.00
$1.00
$0.50
$1.00
$0.00 $0.00
$0.00 $1.90
$0.00 -$1.00 $1.50
Investment B
-$1.00
$0.00
Investment D
Investment E
This table should be read as follows: every dollar committed to Investment A causes
outflow of $1 at time 0 (now), inflow of $0.50 at time 1, and inflow of $1 at time 2. Each
dollar committed to Investment B results in outflow of $1 at time 1, inflow of $0.50 at
time 2, and inflow of $1 at time 3, etc. Money obtained from Investment A at time 1
can be used to invest in B.
Formulate a linear optimization model for designing an optimal investment strategy.
Clearly describe all variables and constraints. Solve the problem in Excel or any other
software.
Transcribed Image Text:Problem 5. You have to determine an investment strategy for the next three years. At present (time 0) the amount of $100,000 is available for investment. Five investments are available. The cash flows associated with investing $1 in each of them are given in the table below. At most $75,000 can be placed in any single investment. Returns from investments can be reinvested immediately. Cash earns 8% per year. The cash flows are given in the table below. Time 3 $0.50 $0.00 -$1.00 Investment C| -$1.00 | $1.20 $0.00 Investment A -$1.00 $0.00 $1.00 $0.50 $1.00 $0.00 $0.00 $0.00 $1.90 $0.00 -$1.00 $1.50 Investment B -$1.00 $0.00 Investment D Investment E This table should be read as follows: every dollar committed to Investment A causes outflow of $1 at time 0 (now), inflow of $0.50 at time 1, and inflow of $1 at time 2. Each dollar committed to Investment B results in outflow of $1 at time 1, inflow of $0.50 at time 2, and inflow of $1 at time 3, etc. Money obtained from Investment A at time 1 can be used to invest in B. Formulate a linear optimization model for designing an optimal investment strategy. Clearly describe all variables and constraints. Solve the problem in Excel or any other software.
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