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Lang Industrial Systems Company (LISC) is trying to decide between two different

ID: 2778289 • Letter: L

Question

Lang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $204,000, has a four-year life, and requires $66,000 in pretax annual operating costs. System B costs $288,000, has a six-year life, and requires $60,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever project is chosen, it will not be replaced when it wears out. The tax rate is 35 percent and the discount rate is 10 percent.

Calculate the NPV for both conveyor belt systems.

Lang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $204,000, has a four-year life, and requires $66,000 in pretax annual operating costs. System B costs $288,000, has a six-year life, and requires $60,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever project is chosen, it will not be replaced when it wears out. The tax rate is 35 percent and the discount rate is 10 percent.

Explanation / Answer

Added a revised version with change is tax shield calculation;

Details Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Project A Discount rate @10%                       1               0.909                     0.826              0.751              0.683              0.621              0.564 Investment       (204,000)       (204,000) PV of Investments       (330,668) Depreciation             51,000                  51,000            51,000            51,000           51,000           51,000 Annual Operating Cost          (66,000)                (66,000)         (66,000)         (66,000)         (66,000)         (66,000) Tax shield on depreciation @35%             17,850                  17,850            17,850            17,850           17,850           17,850 Net Opearating Cost          (48,150)                (48,150)         (48,150)         (48,150)         (48,150)         (48,150) PV of net opearting cost       (209,706)          (43,773)                (39,793)         (36,176)         (32,887)         (29,897)         (27,179) NPV of costs       (540,374) (after 4 years the same amount invested for the equipment for continuity ) Project B Investment PV of Investments       (288,000) Depreciation             48,000                  48,000            48,000            48,000           48,000           48,000 Annual Operating Cost          (60,000)                (60,000)         (60,000)         (60,000)         (60,000)         (60,000) Tax shield on depreciation @35%             16,800                  16,800            16,800            16,800           16,800           16,800 Net Opearating Cost          (43,200)                (43,200)         (43,200)         (43,200)         (43,200)         (43,200) PV of net opearting cost       (188,147)          (39,273)                (35,702)         (32,457)         (29,506)         (26,824)         (24,385) NPV of costs       (476,147)