Quantitative Problem: Bellinger Industries is considering two projects for inclu
ID: 2761217 • 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% 2 4 405 340 290 440 340 Project A-1,250 Project B 1,250 650 250 790 What is Project A's MIRR? Round your answer to two decimal places. Do not round your intermediate calculations What is Project B's MIRR? Round your answer to two decimal places. Do not round your intermediate calculations If the projects were independent, which project(s) would be accepted according to the MIRR method? Select If the projects were mutually exclusive, which project(s) would be accepted according to the MIRR method? -Select Neither Project A Project B Both Projects A and B Save & ContinueExplanation / Answer
To calculate the MIRR of the project, we have to assume that the positive cash flows will be reinvested at the 10% cost of capital. So the future value of the positive cash flows is computed as:
Future Value of positive cash flows at t = 4
Project A:
Future value of positive cash flow
Year
Inflow
Present value factor
Present value
1
650
(1.10)3
1.331
865.15
2
405
(1.10)2
1.21
490.05
3
290
1.1
1.1
319
4
340
1
1
340
Total
2014.2
Project B:
Future value of positive cash flow
Year
Inflow
Present value factor
Present value
1
250
(1.10)3
1.331
332.75
2
340
(1.10)2
1.21
411.4
3
440
1.1
1.1
484
4
790
1
1
790
Total
2018.15
Now you divide the future value of the cash flows by the present value of the initial outlay, which was $1250, and find the geometric return for 4 periods.
Project A:
= [Nth(4) root of ($2014.2/1250] -1
= 1.12667 – 1
= 12.67% MIRR
Project B:
= [Nth(4) root of ($2018.15/1250)] -1
= 1.1272– 1
= 12.72% MIRR
Answers:
Future value of positive cash flow
Year
Inflow
Present value factor
Present value
1
650
(1.10)3
1.331
865.15
2
405
(1.10)2
1.21
490.05
3
290
1.1
1.1
319
4
340
1
1
340
Total
2014.2