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Quantitative Problem: Bellinger Industries is considering two projects for inclu

ID: 2719270 • Letter: Q

Question

Quantitative Problem: Bellinger Industries is considering two projects for inclusion in its capital budget, and you have been asked to do the analysis. Both projects' after-tax cash flows are shown on the time line below. Depreciation, salvage values, net operating working capital requirements, and tax effects are all included in these cash flows. Both projects have 4-year lives, and they have risk characteristics similar to the firm's average project. Bellinger's WACC is 10%.

What is Project A's MIRR? Round your answer to two decimal places. Do not round your intermediate calculations.

0 1    2 3 4 Project A -1,450 700 355 220 270 Project B -1,450 300 290 370 720

Explanation / Answer

Step 1: Calculate the Terminal value of Inflows: @ the Rat of 10%

Project A

Year

Cashflow

Duration( in Years)

Workings @ 10%

Terminal Value

1

700

3

700 x (1.1)^3

931.7

2

355

2

355 x (1.1)^2

429.55

3

220

1

220 x (1.1)

242

4

270

0

270

270

Terminal Value

1873.25

Step 2: Calculate the Present value of Outflows:

Cashflow

Duration( in Years)

Workings

Terminal Value

1450

0

0

1450

Step 3: Calculate MIRR

                                =4     -1= 6.61%

Project B

Year

Cashflow

Duration( in Years)

Workings @ 10%

Terminal Value

1

300

3

300 x (1.1)^3

399.3

2

290

2

290 x (1.1)^2

350.9

3

370

1

370 x (1.1)

407

4

720

0

720

720

Terminal Value

1877.2

Step 2: Calculate the Present value of Outflows:

Cashflow

Duration( in Years)

Workings

Terminal Value

1450

0

0

1450

Step 3: Calculate MIRR

                                =4     -1= 6.67%

Answer Project A MIRR is: 6.61%

Project A

Year

Cashflow

Duration( in Years)

Workings @ 10%

Terminal Value

1

700

3

700 x (1.1)^3

931.7

2

355

2

355 x (1.1)^2

429.55

3

220

1

220 x (1.1)

242

4

270

0

270

270

Terminal Value

1873.25