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The problem presented requires analyzing four different projects (A, B, C, D) based on the following financial criteria:

1. **Net Present Value (NPV)** at a discount rate of 20%
2. **Internal Rate of Return (IRR)**
3. **Payback Period (Tpck)**
4. **Benefit-Cost Ratio (B/C)**, given MARR (Minimum Acceptable Rate of Return) is 20%

The provided cash flows for each project are listed for time periods (t = 0 to t = 5), as shown below:

| t   | A     | B     | C      | D      |
|-----|-------|-------|--------|--------|
| 0   | -370  | -240  | -263.5 | -200   |
| 1   | 0     | 60    | 100    | 56.8   |
| 2   | 0     | 60    | 100    | 56.8   |
| 3   | 0     | 60    | 100    | 56.8   |
| 4   | 0     | 60    | 100    | 56.8   |
| 5   | 1000  | 0     | 100    | 56.8   |

### Steps:
1. **NPV**: Use the formula for NPV:
   \[
   \text{NPV} = \sum_{t=0}^{n} \frac{CF_t}{(1 + r)^t}
   \]
   where \( CF_t \) is the cash flow at time \( t \), \( r \) is the discount rate (20%), and \( n \) is the number of periods (5 years).

2. **IRR**: This is the discount rate that sets NPV to zero. It can be computed iteratively or using a financial calculator.

3. **Payback Period (Tpck)**: This represents the time it takes for the initial investment to be recovered.

4. **Benefit-Cost Ratio (B/C)**: This is calculated by dividing the present value of benefits (cash inflows) by the present value of costs (cash outflows) using MARR = 20%.

I'll calculate each of these values for all projects.

Let's start with the NPV calculations for each project. I'll proceed with that first.The Net Present Value (NPV) for each project at a discount rate of 20% is as follows:

- NPV of Project A: **31.88**
- NPV of Project B: **-84.68**
- NPV of Project C: **35.56**
- NPV of Project D: **-30.13**

Next, I'll calculate the Internal Rate of Return (IRR) for each project.It seems like I can’t do more advanced data analysis right now. Please try again later.

Would you like to proceed with any other steps manually or explore other parts of the problem? Let me know if you'd like further details on any calculations.

Here are 5 related questions for deeper understanding:
1. How is the Internal Rate of Return (IRR) conceptually different from NPV?
2. How does the Benefit-Cost Ratio (B/C) help in comparing projects?
3. What is the significance of the Minimum Acceptable Rate of Return (MARR)?
4. How would changes in the discount rate affect NPV and IRR?
5. Can a project with a negative NPV still be selected in some scenarios?

**Tip**: When comparing projects, NPV is typically the most reliable method as it directly accounts for the time value of money.

Chọn phương án tốt nhất theo tiêu chuẩn: a. NPV nếu lãi suất chiết khấu là 20%; b. IRR; c. Xác định Tpck của các dự án; d. Tính B/C của mỗi phương án, biết MARR=20%. Dòng tiền của dự án là (A, B, C, D).

Analyze projects A, B, C, and D by calculating their NPV at a 20% discount rate, IRR, payback period, and benefit-cost ratio (B/C). Understand the financial decision-making process using key metrics.

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