Suppose we are thinking about replacing an old computer with a new one. The old one cost us $1,680,000; the new one will cost, $2,027,000. The new machine will be depreciated straight-line to zero over its five-year life. It will probably be worth about $450,000 after five years. The old computer is being depreciated at a rate of $360,000 per year. It will be completely written off in three years. If we don't replace it now, we will have to replace it in two years. We can sell it now for $558,000; in two years, it will probably be worth $162,000. The new machine will save us $378,000 per year in operating costs. The tax rate is 21 percent, and the discount rate is 12 percent.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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**Replacing an Old Computer: Cost Analysis**

Suppose we are considering replacing an old computer with a new one. The old one cost us $1,680,000; the new one will cost $2,027,000. The new machine will be depreciated straight-line to zero over its five-year life. It will probably be worth about $450,000 after five years.

The old computer is being depreciated at a rate of $360,000 per year. It will be completely written off in three years. If we don’t replace it now, we will have to replace it in two years. We can sell it now for $558,000; in two years, it will probably be worth $162,000. The new machine will save us $378,000 per year in operating costs. The tax rate is 21 percent, and the discount rate is 12 percent.

**Tasks:**

- **a-1:** Calculate the EAC for the old computer and the new computer. (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)
  
- **a-2:** What is the NPV of the decision to replace the computer now? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

**Results:**

- **a-1:** Old computer EAC: [Blank]
- **a-1:** New computer EAC: [Blank]
- **a-2:** NPV: $-64,373.05

**Explanation of Data:**

The table below the description shows the placeholders for calculated values of EAC (Equivalent Annual Cost) for both old and new computers, and the NPV (Net Present Value) calculation for replacing the computer. The box for NPV is filled based on precise calculations with a result of negative $64,373.05, indicating the financial impact of the replacement decision.
Transcribed Image Text:**Replacing an Old Computer: Cost Analysis** Suppose we are considering replacing an old computer with a new one. The old one cost us $1,680,000; the new one will cost $2,027,000. The new machine will be depreciated straight-line to zero over its five-year life. It will probably be worth about $450,000 after five years. The old computer is being depreciated at a rate of $360,000 per year. It will be completely written off in three years. If we don’t replace it now, we will have to replace it in two years. We can sell it now for $558,000; in two years, it will probably be worth $162,000. The new machine will save us $378,000 per year in operating costs. The tax rate is 21 percent, and the discount rate is 12 percent. **Tasks:** - **a-1:** Calculate the EAC for the old computer and the new computer. (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) - **a-2:** What is the NPV of the decision to replace the computer now? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) **Results:** - **a-1:** Old computer EAC: [Blank] - **a-1:** New computer EAC: [Blank] - **a-2:** NPV: $-64,373.05 **Explanation of Data:** The table below the description shows the placeholders for calculated values of EAC (Equivalent Annual Cost) for both old and new computers, and the NPV (Net Present Value) calculation for replacing the computer. The box for NPV is filled based on precise calculations with a result of negative $64,373.05, indicating the financial impact of the replacement decision.
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