Solution Preview Time Left : 01 : 03 : 08 This is how the student would see your solution Tag the question Edit Finance financial management the optimal capital budget Step-by-step Edit Step 1 of 6 Step 1: EXTRACT DATA Cash Flows and Data: Year 0 1 2 3 4 WACC(r) 6.75% Project S CFs -1,100 550 600 100 99 Project L CFs -2,700 650 725 800 1,400 Explanation: Extract the Cash Flows and WACC WACC = 6.75% Step 2 of 6 Step 2: Calculate Net Present Value (NPV) for Both Projects NPV formula: Calculations: Project S NPV: Calculations: Year 0: Year 1: Year 2: Year 3: Year 4: Total NPV for Project S: Step 3 of 6 Project L NPV: Calculations: Year 0: Year 1: Year 2: Year 3: Year 4: Total NPV for Project L: Step 4 of 6 Step 3: Calculate IRR for Both Projects IRR is the discount rate that makes NPV zero. Using Excel or a financial calculator: IRR for Project S: =IRR([-1100, 550, 600, 100, 99]) IRR for Project L: =IRR([-2700, 650, 725, 800, 1400]) Step 5 of 6 Step 4: Decision Analysis IRR Criterion: Choose Project S (IRR ) since IRR > IRR of L. NPV Criterion: Choose Project L (NPV ) since NPV > NPV of S. Step 6 of 6 Step 5: Calculate the Forgone Value (NPV) When Choosing IRR over NPV If the company chooses the project based on IRR (Project S), the NPV obtained is . If it had chosen based on NPV (Project L), the maximum NPV would be . Therefore, the forgone value = difference between maximum NPV and NPV of the chosen project: Value Forgone = Maximum NPV - Chosen NPV Value Forgone Final solution Edit 1. If the decision is made by choosing the higher IRR (Project S) instead of the higher NPV (Project L), the company forgoes approximately in value (NPV). 2. The maximum possible NPV (if choosing by NPV criterion) is , whereas choosing by IRR results in an NPV of ConfirmChecking submission for authenticity Plagiarism Check in submission yT— Plagiarized or copied content is not allowed. Make sure your work is unique. Al Found in submission — Your work should be authentic, coherent, and of good quality. @® Al found in your submission. Please fix to submit again.
Question:
Solution Preview
Time Left :
01
:
03
:
08
This is how the student would see your solution
Tag the question
Edit
Finance
financial management
the optimal capital budget
Step-by-step
Edit
Step 1 of 6
Step 1: EXTRACT DATA
Cash Flows and Data:
Year
0
1
2
3
4
WACC(r)
6.75%
Project S CFs
-1,100
550
600
100
99
Project L CFs
-2,700
650
725
800
1,400
Explanation:
Extract the Cash Flows and WACC
WACC = 6.75%
Step 2 of 6
Step 2: Calculate Net Present Value (NPV) for Both Projects
NPV formula:
Calculations:
Project S NPV:
Calculations:
Year 0:
Year 1:
Year 2:
Year 3:
Year 4:
Total NPV for Project S:
Step 3 of 6
Project L NPV:
Calculations:
Year 0:
Year 1:
Year 2:
Year 3:
Year 4:
Total NPV for Project L:
Step 4 of 6
Step 3: Calculate IRR for Both Projects
IRR is the discount rate that makes NPV zero.
Using Excel or a financial calculator:
IRR for Project S:
=IRR([-1100, 550, 600, 100, 99])
IRR for Project L:
=IRR([-2700, 650, 725, 800, 1400])
Step 5 of 6
Step 4: Decision Analysis
IRR Criterion:
Choose Project S (IRR
) since IRR > IRR of L.
NPV Criterion:
Choose Project L (NPV
) since NPV > NPV of S.
Step 6 of 6
Step 5: Calculate the Forgone Value (NPV) When Choosing IRR over NPV
If the company chooses the project based on IRR (Project S), the NPV obtained is
.
If it had chosen based on NPV (Project L), the maximum NPV would be
.
Therefore, the forgone value = difference between maximum NPV and NPV of the chosen project:
Value Forgone = Maximum NPV - Chosen NPV
Value Forgone
Final solution
Edit
1. If the decision is made by choosing the higher IRR (Project S) instead of the higher NPV (Project L), the company forgoes approximately
in value (NPV).
2. The maximum possible NPV (if choosing by NPV criterion) is
, whereas choosing by IRR results in an NPV of
Confirm
Checking submission for authenticity
Plagiarism Check in submission yT—
Plagiarized or copied content is not allowed. Make sure your work is unique.
Al Found in submission —
Your work should be authentic, coherent, and of good quality.
@® Al found in your submission. Please fix to submit again.
Asked by: Bandi Hemavathi
Created at: 2025-07-19 01:19:10
Final Answer:
Question:
Fix Highlighted content that contains plagiarism or AI based submission Here Extract Data: Cash Flows and Data:╔═══════════════╤════════╤═════╤═════╤═════╤═══════╗ ║ Year │ 0 │ 1 │ 2 │ 3 │ 4 ║ ╟───────────────┼────────┼─────┼─────┼─────┼───────╢ ║ WACC(r) │ 6.75% │ │ │ │ ║ ╟───────────────┼────────┼─────┼─────┼─────┼───────╢ ║ Project S CFs │ -1,100 │ 550 │ 600 │ 100 │ 99 ║ ╟───────────────┼────────┼─────┼─────┼─────┼───────╢ ║ Project L CFs │ -2,700 │ 650 │ 725 │ 800 │ 1,400 ║ ╚═══════════════╧════════╧═════╧═════╧═════╧═══════╝ Extract the Cash Flows and WACCWACC = 6.75% The calculate Net Present Value (NPV) for Both Projects: Using the formula: \[NPV= sum_(t=1)^n {CFt}/{(1+r)t}\] Calculations:Project S NPV:\[NPVs=-1100+{550}/{1.0675}+{600}/{(1.0675)^{2}}+{100}/{(1.0675)^{3}}+{99}/{(1.0675)^{4}}\] Calculations: Year 0: \[−1100\] Year 1: \[550/1.0675≈515.3\] Year 2: \[600/1.1396≈526.62\] Year 3: \[100/1.2166≈82.19\] Year 4: \[99/1.2988≈76.22\] Total NPV for Project S: \[NPVs=−1100+515.30+526.62+82.19+76.22\] \[=$100.33\] Project L NPV:\[NPV_{L}=−2700+{650}/{1.0675}+{725}/{(1.0675)^{2}}+{800}/{(1.0675)^{3}}+{1400}/{(1.0675)^{4}}\] Calculations: Year 0: \[−2700\] Year 1: \[650/1.0675≈609.11\] Year 2: \[725/1.1396≈636.43\] Year 3: \[800/1.2166≈657.77\] Year 4: \[1400/1.2988≈1077.84\] Total NPV for Project L: \[NPV_{L}=−2700+609.11+636.43+657.77+1077.84\] \[NPV_{L}=$281.15\] The calculate IRR for Both Projects IRR is the discount rate that makes NPV zero. Using Excel or a financial calculator: IRR for Project S:=IRR([-1100, 550, 600, 100, 99]) \[≈ 18.06%\] IRR for Project L:=IRR([-2700, 650, 725, 800, 1400]) \[≈ 14.47%\] Decision AnalysisIRR Criterion:Choose Project S (IRR \[= 18.06%\]) since IRR > IRR of L. NPV Criterion:Choose Project L (NPV \[= \$281.15\]) since NPV > NPV of S. Calculate the Forgone Value (NPV) When Choosing IRR over NPV If the company chooses the project based on IRR (Project S), the NPV obtained is \[\$100.33\]. If it had chosen based on NPV (Project L), the maximum NPV would be \[\$281.15\]. Therefore, the forgone value = difference between maximum NPV and NPV of the chosen project: Value Forgone = Maximum NPV - Chosen NPV Value Forgone \[=$281.15−$100.33\] \[=$180.82\] 1. If the decision is made by choosing the higher IRR (Project S) instead of the higher NPV (Project L), the company forgoes approximately \[\$180.82\] in value (NPV).2. The maximum possible NPV (if choosing by NPV criterion) is \[\$281.15\], whereas choosing by IRR results in an NPV of \[\$100.33.\]
Asked by: Bandi Hemavathi
Created at: 2025-07-19 01:25:27
Final Answer:
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