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Complete the following problems using an Excel spreadsheet. You must show your work to get full credit. Each student is responsible for completing their own response to the problems.

1. A plant engineer is considering two machines to purchase:

 

Item                               Model A                          Model B

Initial Cost                      $8,000                             $9,000

Annual Savings                $1,750                             $2,000

Annual Maintenance          $200                                $350

Expected Life                  8 years                            8 years

Salvage Value                  $800                                $900

The firm's MARR is 10%. On the basis of the IRR criterion, which machine is the better choice?

2. Assume that you are planning on purchasing a Tesla Model 3 for $35,000. You will be able to make a down payment of $5,000. The remaining $30,000 will be financed by the dealer. The dealer computes your monthly payment to be $775.00 for 48 months of financing. What is the dealer's annual rate of return on this car loan?

3. Consider the following projects with the following sequences of cash flows:

Period                                                  Net Cash Flow

 n                            A                   B                  C                 D

0                       $45,000       -$15,000        -$12,500      $10,000

1                      -$15,000       -$15,000         $5,000       -$9,000

2                      -$15,000       -$15,000         $5,000       -$11,500

3                      -$20,000        $60,000         $3,000        $10,000

a) Which of the projects represent simple investments?

b) Which of the projects represent nonsimple investments?

c) Compute the i* for each project.

d) Which of the projects has no rate of return?

4. Consider the following project's cash flows:

n                      Net Cash Flow

0                          -$20,000

1                           $7,500

2                               X

3                           $10,000

Assume that the project's IRR is 15%.

a) Find the value of X.

b) Is the project acceptable at MARR = 12%?

5. Consider two investments with the following sequences of cash flows:

n                 Project A                Project B

0                 -$150,000              -$175,000

1                  $45,000                 $30,000

2                  $55,000                 $65,000

3                  $75,000                 $95,000

4                  $80,000                 $100,000

a) Computer the IRR for each investment.

b) At MARR = 15%, consider the acceptability of each project.

c) If A and B are mutually exclusive projects, which project would you select on the basis of the rate of return on incremental investment?

Microeconomics, Economics

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