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بفرض ان لدينا مشروعين (أ) و (ب) و كانت التكلفة لكل منهما 100000 جنيه و كانت تكلفة التمويل 8% و كانت التدفقات النقدية لكل منها كما يلي:
بفرض ان لدينا مشروعين (أ) و (ب) و كانت التكلفة لكل منهما 100000 جنيه و كانت تكلفة التمويل 8% و كانت التدفقات النقدية لكل منها كما يلي:


The problem provides two projects, (أ) and (ب), each with an initial investment of 100,000 pounds and a financing cost of 8%. The cash flows for the two projects over five years are listed in the table.

To determine which project to select, we would typically compare them using methods such as:

1. **Net Present Value (NPV):** This calculates the total value of cash flows, discounted by the cost of capital (8%), minus the initial investment.
2. **Internal Rate of Return (IRR):** This calculates the discount rate that makes the NPV zero.

I'll start by calculating the NPVs for both projects to help determine which is preferable. Let me first extract the cash flows and calculate the NPVs.The Net Present Value (NPV) for the two projects is as follows:

- Project (أ): NPV = 51,910.12
- Project (ب): NPV = -5,777.24

Since the NPV of Project (أ) is positive and much higher than that of Project (ب), Project (أ) should be chosen, as it offers a greater return on investment when considering the cost of financing.

Would you like further details on how NPV is calculated, or do you have other questions?

Here are 5 questions to deepen understanding:

1. What is the significance of a positive versus negative NPV?
2. How would changing the discount rate affect the NPV of each project?
3. What are some limitations of using NPV to compare projects?
4. How can we use the Internal Rate of Return (IRR) in project comparisons?
5. How do different project time horizons affect investment decisions?

**Tip:** When comparing projects, a higher NPV indicates a better financial return, but considering additional metrics like IRR or Payback Period can provide a more comprehensive analysis.

بفرض ان لدينا مشروعين (أ) و (ب) و كانت التكلفة لكل منهما 100000 جنيه و كانت تكلفة التمويل 8% و كانت التدفقات النقدية لكل منها كما يلي:

Compare two investment projects (أ) and (ب), each with an initial cost of 100,000 pounds and a financing cost of 8%. Analyze their cash flows over five years using NPV and IRR to determine the more profitable option.

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