What is equivalent annual cost of investing in cheap system


Problem

Blooper industries must replace its purification system. Quick & Dirty Systems sells a relatively cheap purification system for $10M that lasts 5 years. Do-It-Right sells a sturdier system for $12M that lasts for 8 years. Both systems entail $1M in operating costs; both will be depreciated straight-line to a final value of zero over their useful lives. The firm's tax rate is 30% and its discount rate is 12%.

1) What is the equivalent annual cost of investing in the cheap system?
2) What is the equivalent annual cost of investing in the expensive system?
3) Which system is preferred?

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Game Theory: What is equivalent annual cost of investing in cheap system
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