Consider the following two mutually exclusive projects being considered by an agency. The agency's MARR is 4% per year and the projects have a service life of 5 years. Project Project 2 $14,300 $21,800 $3,743 $5,474 Answer the following questions. Initial cost Annual revenues Present Worth (PW) $2,363 a. Based on the PW, the project that is more economical is Project (Enter the project number). b. Calculate the IRR of each alternative (use the trial-and-error method) The IRR of Project 1 is Round to the nearest one decimal place) The IRR of Project 2 is Round to the nearest one decimal place) O A. Yes OB. No c. Perform the incremental IRR analysis to determine the project that is more economical: Incremental IRR=Round to the nearest one decimal place); Therefore, based on the incremental IRR, Project is more economical. d. Do the two methods produce the same recomendation for the most economical project? $2,569 e. IMPORTANT: Note from this example that a higher IRR for an individual alternative does not guarantee that the alternative is more economical than the one with a low

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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e. IMPORTANT  Note that from this example that a higher IRR for a nindividual alternative does not gurantee that the alternatvie is more economical than the one with a lower IRR. It is the incremental IRR value relative to the MARR that determines which alternative is more economical. The result of the incremental analysis are always the same as those of the PW,AW, or FW anaylsis 

### Economic Project Analysis

Consider the following two mutually exclusive projects being considered by an agency, with an agency's Minimum Attractive Rate of Return (MARR) of 4% per year. The projects have a service life of 5 years.

|                | Project 1 | Project 2 |
|----------------|-----------|-----------|
| Initial cost   | $14,300   | $21,800   |
| Annual revenues| $3,743    | $5,474    |
| Present Worth (PW) | $2,363    | $2,569    |

---

#### Questions

a. **Based on the PW, which project is more economical?**  
   - The project that is more economical is Project [ ] (Enter the project number).

b. **Calculate the IRR of each alternative using the trial-and-error method.**  
   - The IRR of Project 1 is [ ]% (Round to the nearest one decimal place).  
   - The IRR of Project 2 is [ ]% (Round to the nearest one decimal place).

c. **Perform the incremental IRR analysis to determine the more economical project.**  
   - Incremental IRR = [ ]% (Round to the nearest one decimal place).  
   - Therefore, based on the incremental IRR, Project [ ] is more economical.

d. **Do the two methods produce the same recommendation for the most economical project?**  
   - A. Yes  
   - B. No  

e. **Important Note**  
   - This example illustrates that a higher IRR for an individual alternative does **not** guarantee that the alternative is more economical than the one with a lower IRR.
Transcribed Image Text:### Economic Project Analysis Consider the following two mutually exclusive projects being considered by an agency, with an agency's Minimum Attractive Rate of Return (MARR) of 4% per year. The projects have a service life of 5 years. | | Project 1 | Project 2 | |----------------|-----------|-----------| | Initial cost | $14,300 | $21,800 | | Annual revenues| $3,743 | $5,474 | | Present Worth (PW) | $2,363 | $2,569 | --- #### Questions a. **Based on the PW, which project is more economical?** - The project that is more economical is Project [ ] (Enter the project number). b. **Calculate the IRR of each alternative using the trial-and-error method.** - The IRR of Project 1 is [ ]% (Round to the nearest one decimal place). - The IRR of Project 2 is [ ]% (Round to the nearest one decimal place). c. **Perform the incremental IRR analysis to determine the more economical project.** - Incremental IRR = [ ]% (Round to the nearest one decimal place). - Therefore, based on the incremental IRR, Project [ ] is more economical. d. **Do the two methods produce the same recommendation for the most economical project?** - A. Yes - B. No e. **Important Note** - This example illustrates that a higher IRR for an individual alternative does **not** guarantee that the alternative is more economical than the one with a lower IRR.
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