Moerdyk & Co. is considering Projects S and L, whose cash flows are shown below. These projects are mutually exclusive, equally risky, and not repeatable. If the decision is made by choosing the project with the higher IRR, how much value will be forgone? Note that under certain conditions choosing projects on the basis of the IRR will not cause any value to be lost because the one with the higher IRR will also have the higher NPV, i.e., no conflict will exist. WACC: CFS CFL O a. $59.20 Ob. $62.75 O c. $51.51 O d. $65.71 Oe. $53.28 6.75% 0 -$1,025 -$1,025 1 $650 $100 2 $450 $300 3 $250 $500 4 $50 $700

Essentials Of Investments
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Chapter1: Investments: Background And Issues
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**Title: Analyzing Mutually Exclusive Projects with IRR and NPV**

**Overview:**
Moerdyk & Co. is evaluating two projects, S and L, with distinct cash flows. These projects are mutually exclusive, carry equal levels of risk, and cannot be repeated. The company must decide which project to undertake by comparing their Internal Rate of Return (IRR). The decision has implications for the foregone value, evaluated using the Net Present Value (NPV) criterion.

**Cash Flow Details:**

| Year | Project S Cash Flow (CFs) | Project L Cash Flow (CFL) |
|------|---------------------------|---------------------------|
| 0    | -$1,025                   | -$1,025                   |
| 1    | $650                      | $100                      |
| 2    | $450                      | $300                      |
| 3    | $250                      | $500                      |
| 4    | $50                       | $700                      |

**Weighted Average Cost of Capital (WACC):**
- **6.75%**

**Question:**
If the project selection is based solely on the higher IRR, what is the potential value that might be foregone? Consider that under specific circumstances, using the IRR as the basis for choice will not lead to any lost value, as the project with the higher IRR will also possess a higher NPV, thereby eliminating conflict.

**Options:**
- (a) $59.20
- (b) $62.75
- (c) $51.51
- (d) $65.71
- (e) $53.28

**Analysis:**
In order to determine the potential foregone value, a comparison of the NPVs of both projects is necessary, using the WACC as the discount rate. The choice will depend on selecting the project with the highest NPV if it aligns with the decision based on IRR. Otherwise, calculate the difference between the NPVs to understand the value potentially missed by not choosing the project with the lower IRR but higher NPV.
Transcribed Image Text:**Title: Analyzing Mutually Exclusive Projects with IRR and NPV** **Overview:** Moerdyk & Co. is evaluating two projects, S and L, with distinct cash flows. These projects are mutually exclusive, carry equal levels of risk, and cannot be repeated. The company must decide which project to undertake by comparing their Internal Rate of Return (IRR). The decision has implications for the foregone value, evaluated using the Net Present Value (NPV) criterion. **Cash Flow Details:** | Year | Project S Cash Flow (CFs) | Project L Cash Flow (CFL) | |------|---------------------------|---------------------------| | 0 | -$1,025 | -$1,025 | | 1 | $650 | $100 | | 2 | $450 | $300 | | 3 | $250 | $500 | | 4 | $50 | $700 | **Weighted Average Cost of Capital (WACC):** - **6.75%** **Question:** If the project selection is based solely on the higher IRR, what is the potential value that might be foregone? Consider that under specific circumstances, using the IRR as the basis for choice will not lead to any lost value, as the project with the higher IRR will also possess a higher NPV, thereby eliminating conflict. **Options:** - (a) $59.20 - (b) $62.75 - (c) $51.51 - (d) $65.71 - (e) $53.28 **Analysis:** In order to determine the potential foregone value, a comparison of the NPVs of both projects is necessary, using the WACC as the discount rate. The choice will depend on selecting the project with the highest NPV if it aligns with the decision based on IRR. Otherwise, calculate the difference between the NPVs to understand the value potentially missed by not choosing the project with the lower IRR but higher NPV.
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