5 Flag question 3 2 NPV Total 0 $18,500 $18,500 in year five. What is the NPV using 6% as the discount rate? pany is considering a project that requires an initial cost of $44,500. The project will generate after-tax het cash inflows of $1,100 in year one, $5,700 in year two, $14,500 in year three, $16,000 in year four, and NOTE: Enter amounts rounded to two decimals (e.g., 78.76 or 40.00). Net Cash Inflow Year $16,000 $14,500 $5,700 $1,100 PV
5 Flag question 3 2 NPV Total 0 $18,500 $18,500 in year five. What is the NPV using 6% as the discount rate? pany is considering a project that requires an initial cost of $44,500. The project will generate after-tax het cash inflows of $1,100 in year one, $5,700 in year two, $14,500 in year three, $16,000 in year four, and NOTE: Enter amounts rounded to two decimals (e.g., 78.76 or 40.00). Net Cash Inflow Year $16,000 $14,500 $5,700 $1,100 PV
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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![### Project Evaluation Exercise
#### Net Present Value Calculation
**Scenario:**
A company is considering a project that requires an initial cost of $14,500. The project will generate the following net cash inflows:
- Year 1: $1,100
- Year 2: $5,700
- Year 3: $1,450
- Year 4: $16,000
- Year 5: $18,500
The task is to calculate the Net Present Value (NPV) using a discount rate of 6%.
Below is a table to compute the NPV:
| Year | Net Cash Inflow | Present Value (PV) Factor | Present Value (PV) |
|------|------------------|---------------------------|--------------------|
| 0 | $(14,500) | | |
| 1 | $1,100 | | |
| 2 | $5,700 | | |
| 3 | $1,450 | | |
| 4 | $16,000 | | |
| 5 | $18,500 | | |
| | | | **NPV Total** |
**Note:** Enter amounts rounded to two decimals (e.g., 78.76 or 400.00).
The NPV formula is:
\[ NPV = \sum \left( \frac{Net \ Cash \ Inflows}{(1 + r)^t} \right) - Initial \ Investment \]
Where:
- \( r \) is the discount rate (6% or 0.06)
- \( t \) is the year
**Instructions:**
1. Calculate the PV for each year using the formula \( PV = \frac{Net \ Cash \ Inflow}{(1 + r)^t} \).
2. Sum all the PVs from Year 0 to Year 5.
3. Subtract the initial investment to get the NPV.
This exercise helps in understanding the NPV method, which is a fundamental concept in financial management for evaluating capital projects.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac705bfc-424a-4f25-b4b6-e916de2b8b4a%2Fe5854f06-a7ce-401e-8339-31b6b5b0764d%2F7fqcaz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Project Evaluation Exercise
#### Net Present Value Calculation
**Scenario:**
A company is considering a project that requires an initial cost of $14,500. The project will generate the following net cash inflows:
- Year 1: $1,100
- Year 2: $5,700
- Year 3: $1,450
- Year 4: $16,000
- Year 5: $18,500
The task is to calculate the Net Present Value (NPV) using a discount rate of 6%.
Below is a table to compute the NPV:
| Year | Net Cash Inflow | Present Value (PV) Factor | Present Value (PV) |
|------|------------------|---------------------------|--------------------|
| 0 | $(14,500) | | |
| 1 | $1,100 | | |
| 2 | $5,700 | | |
| 3 | $1,450 | | |
| 4 | $16,000 | | |
| 5 | $18,500 | | |
| | | | **NPV Total** |
**Note:** Enter amounts rounded to two decimals (e.g., 78.76 or 400.00).
The NPV formula is:
\[ NPV = \sum \left( \frac{Net \ Cash \ Inflows}{(1 + r)^t} \right) - Initial \ Investment \]
Where:
- \( r \) is the discount rate (6% or 0.06)
- \( t \) is the year
**Instructions:**
1. Calculate the PV for each year using the formula \( PV = \frac{Net \ Cash \ Inflow}{(1 + r)^t} \).
2. Sum all the PVs from Year 0 to Year 5.
3. Subtract the initial investment to get the NPV.
This exercise helps in understanding the NPV method, which is a fundamental concept in financial management for evaluating capital projects.
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