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

FINANCIAL ACCOUNTING
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Author:Libby
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Chapter1: Financial Statements And Business Decisions
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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.
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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