For the five altematives described in the table on right.Note: the third column is ROR of each project (i"), while incremental ROR are Ai* values. At MARR of 15%, which project or projects should be selected, using ROR analysis method ? 1- if they are independents:

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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**Instructions for Rate of Return (ROR) Analysis**

For the five alternatives described in the table, determine which project(s) should be selected based on the Rate of Return (ROR) analysis method, considering a Minimum Attractive Rate of Return (MARR) of 15%.

### 1. If they are independent:
   
- Specify the projects that meet the criteria:
  - _______________
  - _______________ 

### 2. If they are mutually exclusive:

Follow the steps below based on the comparison with MARR = 15%:

#### Step 1:
- Exclude alternatives __________ and __________ from the competition.

#### Step 2:
- ______________ (challenger) VS ______________ (defender)
  - Incremental Rate of Return (\(\Delta i^*\)) = __________
  - Select: _______________

#### Step 3:
- ______________ (new challenger) VS ______________ (new defender)
  - Incremental Rate of Return (\(\Delta i^*\)) = __________

### Table: Project Alternatives and Rate of Return

| Alternative | Initial Investment, $ | Overall ROR vs DN, % | Incremental Rate of Return, % |
|-------------|------------------------|----------------------|-------------------------------|
| A           | -25,000                | 9.6                  | —                             |
| B           | -35,000                | 15.1                 | 27.3, 9.4, 35.3, 25.0         |
| C           | -40,000                | 13.4                 | —, 0, 38.5, 24.4              |
| D           | -60,000                | 25.4                 | —, —, 46.5, 27.3              |
| E           | -75,000                | 20.2                 | —, —, —, 6.8                  |

**Graph/Diagram Explanation**:
- The table is divided into columns for each alternative, detailing the initial investment required, the overall Rate of Return compared to the do-nothing (DN) scenario, and the incremental Rate of Return for comparisons between alternatives.
Transcribed Image Text:**Instructions for Rate of Return (ROR) Analysis** For the five alternatives described in the table, determine which project(s) should be selected based on the Rate of Return (ROR) analysis method, considering a Minimum Attractive Rate of Return (MARR) of 15%. ### 1. If they are independent: - Specify the projects that meet the criteria: - _______________ - _______________ ### 2. If they are mutually exclusive: Follow the steps below based on the comparison with MARR = 15%: #### Step 1: - Exclude alternatives __________ and __________ from the competition. #### Step 2: - ______________ (challenger) VS ______________ (defender) - Incremental Rate of Return (\(\Delta i^*\)) = __________ - Select: _______________ #### Step 3: - ______________ (new challenger) VS ______________ (new defender) - Incremental Rate of Return (\(\Delta i^*\)) = __________ ### Table: Project Alternatives and Rate of Return | Alternative | Initial Investment, $ | Overall ROR vs DN, % | Incremental Rate of Return, % | |-------------|------------------------|----------------------|-------------------------------| | A | -25,000 | 9.6 | — | | B | -35,000 | 15.1 | 27.3, 9.4, 35.3, 25.0 | | C | -40,000 | 13.4 | —, 0, 38.5, 24.4 | | D | -60,000 | 25.4 | —, —, 46.5, 27.3 | | E | -75,000 | 20.2 | —, —, —, 6.8 | **Graph/Diagram Explanation**: - The table is divided into columns for each alternative, detailing the initial investment required, the overall Rate of Return compared to the do-nothing (DN) scenario, and the incremental Rate of Return for comparisons between alternatives.
**Decision-Making Process Using Incremental Rate of Return Analysis**

**Instructions:**

For mutually exclusive alternatives, perform the following steps based on comparisons with a Minimum Acceptable Rate of Return (MARR) of 15%.

**Step 1:**
- Exclude alternatives \( \_\_\_\_\_\_\_ \) and \( \_\_\_\_\_\_\_ \) from competition

**Step 2:**
- \( \_\_\_\_\_\_\_ \) (challenger) VS \( \_\_\_\_\_\_\_ \) (defender)
- Calculate \( \Delta i^* = \_\_\_\_\_\_\_ \)
- Select \( \_\_\_\_\_\_\_ \)

**Step 3:**
- \( \_\_\_\_\_\_\_ \) (new challenger) VS \( \_\_\_\_\_\_\_ \) (new defender)
- Calculate \( \Delta i^* = \_\_\_\_\_\_\_ \)
- Select \( \_\_\_\_\_\_\_ \)

**Data Table for Alternatives:**

| Alternative | Initial Investment ($) | Overall ROR (%) |
|-------------|------------------------|-----------------|
| A           | 25,000                 | 9.6             |
| B           | 35,000                 | 15.1            |
| C           | 40,000                 | 13.4            |
| D           | 60,000                 | 25.4            |
| E           | 75,000                 | 20.2            |

**Incremental Rate of Return Analysis:**

| Incremental Rate of Return (%) | A   | C   | D   | E   |
|--------------------------------|-----|-----|-----|-----|
| A                              | \|  | 27.3| 9.4 | 35.3| 25.0 |
| C                              | \|  | 38.5| 24.4|     |
| D                              | \|  |     | 46.5| 27.3|
| E                              | \|  |     |     | 6.8 |

**Explanation:**

The table compares different investment alternatives, their initial investments, and their overall rates of return (ROR). It also shows incremental rates of return as comparisons are made between different alternatives. This information assists in selecting the
Transcribed Image Text:**Decision-Making Process Using Incremental Rate of Return Analysis** **Instructions:** For mutually exclusive alternatives, perform the following steps based on comparisons with a Minimum Acceptable Rate of Return (MARR) of 15%. **Step 1:** - Exclude alternatives \( \_\_\_\_\_\_\_ \) and \( \_\_\_\_\_\_\_ \) from competition **Step 2:** - \( \_\_\_\_\_\_\_ \) (challenger) VS \( \_\_\_\_\_\_\_ \) (defender) - Calculate \( \Delta i^* = \_\_\_\_\_\_\_ \) - Select \( \_\_\_\_\_\_\_ \) **Step 3:** - \( \_\_\_\_\_\_\_ \) (new challenger) VS \( \_\_\_\_\_\_\_ \) (new defender) - Calculate \( \Delta i^* = \_\_\_\_\_\_\_ \) - Select \( \_\_\_\_\_\_\_ \) **Data Table for Alternatives:** | Alternative | Initial Investment ($) | Overall ROR (%) | |-------------|------------------------|-----------------| | A | 25,000 | 9.6 | | B | 35,000 | 15.1 | | C | 40,000 | 13.4 | | D | 60,000 | 25.4 | | E | 75,000 | 20.2 | **Incremental Rate of Return Analysis:** | Incremental Rate of Return (%) | A | C | D | E | |--------------------------------|-----|-----|-----|-----| | A | \| | 27.3| 9.4 | 35.3| 25.0 | | C | \| | 38.5| 24.4| | | D | \| | | 46.5| 27.3| | E | \| | | | 6.8 | **Explanation:** The table compares different investment alternatives, their initial investments, and their overall rates of return (ROR). It also shows incremental rates of return as comparisons are made between different alternatives. This information assists in selecting the
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