Question & Answer: 3.2Two hazardous environment facilities are evaluated, with the projected life of each facility being 10 years. The cas…..

3.2Two hazardous environment facilities are evaluated, with the projected life of each facility being 10 years. The cash flows are as follows First Cost Maintenance & Operating Costs Annual Benefits Salvage Value Project life Alternative A $615,000 $10,000 $158,000 $65,000 10 Alternative B $300,000 $25,000 $92,000 -$5,000 The company uses a MARR of 15%. Using rate of return analysis, which alternative should be selected? a) List the table of Incremental Cash Flow based on the two alternatives [2 points] b) Calculate the Incremental IRR for the system investment [3 points] c) Which alternative should be chosen? Why? [1 points 1 point]

3.2Two hazardous environment facilities are evaluated, with the projected life of each facility being 10 years. The cash flows are as follows First Cost Maintenance & Operating Costs Annual Benefits Salvage Value Project life Alternative A $615,000 $10,000 $158,000 $65,000 10 Alternative B $300,000 $25,000 $92,000 -$5,000 The company uses a MARR of 15%. Using rate of return analysis, which alternative should be selected? a) List the table of Incremental Cash Flow based on the two alternatives [2 points] b) Calculate the Incremental IRR for the system investment [3 points] c) Which alternative should be chosen? Why? [1 points 1 point]

Expert Answer

 

Alternative A
Years First cost Maintenance and operating Annual benefits Salvage Value Total cashflow
0 -615000 -615000
1 -10000 158000 148000
2 -10000 158000 148000
3 -10000 158000 148000
4 -10000 158000 148000
5 -10000 158000 148000
6 -10000 158000 148000
7 -10000 158000 148000
8 -10000 158000 148000
9 -10000 158000 148000
10 -10000 158000 65000 213000
Alternative B
Years First cost Maintenance and operating Annual benefits Salvage Value Total cashflow
0 -300000 -300000
1 -25000 92000 67000
2 -25000 92000 67000
3 -25000 92000 67000
4 -25000 92000 67000
5 -25000 92000 67000
6 -25000 92000 67000
7 -25000 92000 67000
8 -25000 92000 67000
9 -25000 92000 67000
10 -25000 92000 -5000 62000
Alternative A Alternative B
Total Inflow (1) 1545000 665000
No of years (2) 10 10
Average yearly outflow (3)=(1)/(2) 154500 66500
Intial outflow (4) 615000 300000
Annual rate of return (3)/(4) 25.12% 22.17%

Since ARR of both the projects are above MARR hence both the project are acceptable. In case of mutually exclusive projects project A’ ARR is higher than project B. A should be accepted.

Answer A

Years Total cashflow
Project A
Total cashflow
Project B
Incremental cashflow of project A over B
0 -615000 -300000 -315000
1 148000 67000 81000
2 148000 67000 81000
3 148000 67000 81000
4 148000 67000 81000
5 148000 67000 81000
6 148000 67000 81000
7 148000 67000 81000
8 148000 67000 81000
9 148000 67000 81000
10 213000 62000 151000
Total 565000

Answer B

Incremental IRR of project A over B is 23.15% hence A should be accepted.

Years Total cashflow
Project A
Total cashflow
Project B
Incremental cashflow of project A over B
0 -615000 -300000 -315000
1 148000 67000 81000
2 148000 67000 81000
3 148000 67000 81000
4 148000 67000 81000
5 148000 67000 81000
6 148000 67000 81000
7 148000 67000 81000
8 148000 67000 81000
9 148000 67000 81000
10 213000 62000 151000
Incremental IRR 23.15%

IRR calculated usning excel function IRR(P5:P15)

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