Problem

Winstonco is considering investing in three projects. If we fully invest in a project, the...

Winstonco is considering investing in three projects. If we fully invest in a project, the realized cash flows (in millions of dollars) will be as shown in Table 44. For example, project 1 requires cash outflow of $3 million today and returns $5.5 million 3 years from now. Today we have $2 million in cash. At each time point (0, .5, 1, 1.5, 2, and 2.5 years from today) we may, if desired, borrow up to $2 million at 3.5% (per 6 months) interest. Leftover cash earns 3% (per 6 months) interest. For example, if after borrowing and investing at time 0 we have $1 million we would receive $30,000 in interest at time .5 years. Winstonco’s goal is to maximize cash on hand after it accounts for time 3 cash flows. What investment and borrowing strategy should be used? Remember that we may invest in a fraction of a project. For example, if we invest in .5 of project 3, then we have cash outflows of −$1 million at time 0 and .5.

table 44

 

Cash Flow

Time (Years)

Project 1

Project 2

Project 3

0

−3

 −2

−2  

  .5

−1

−.5

−2  

1

  +1.8

1.5

 −1.8

1.5

1.4

1.5

1

2

1.8

1.5

1

2.5

1.8

  .2

1

3

5.5

 −1

6

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Solutions For Problems in Chapter 3.11