https://file.aiquickdraw.com/mathbot/file/17245898720954oymaj8y.jpg

The company uses a 10% interest rate on all of its projects. Calculate the MIRR of the project using all three methods.

解き方を教えて

The image you uploaded seems to show cash flows associated with a project, and you are being asked to calculate the Modified Internal Rate of Return (MIRR) using three different methods.

To calculate the MIRR, you typically need to know:
1. The initial outlay (initial investment).
2. The positive cash flows (inflows) generated by the project.
3. The negative cash flows (outflows) that may occur during the project's life.
4. The company's cost of capital or discount rate (which is 10% in this case).

**Steps to Calculate MIRR:**

### 1. **Using the Discounting Approach:**
   - **Step 1:** Calculate the future value (FV) of all positive cash flows at the end of the project, using the given interest rate.
   - **Step 2:** Calculate the present value (PV) of all negative cash flows at the start of the project, discounting them to the present using the same interest rate.
   - **Step 3:** Calculate MIRR using the formula:
   \[
   MIRR = \left( \frac{FV_{\text{positive cash flows}}}{PV_{\text{negative cash flows}}} \right)^{\frac{1}{n}} - 1
   \]
   where $n$ is the number of periods.

### 2. **Using the Reinvestment Approach:**
   - **Step 1:** Calculate the future value (FV) of all cash inflows at the reinvestment rate.
   - **Step 2:** Find the PV of the initial outlay.
   - **Step 3:** Calculate the MIRR using the same formula as above.

### 3. **Using the Combination Approach:**
   - **Step 1:** Discount all outflows to the present value.
   - **Step 2:** Calculate the future value of all inflows.
   - **Step 3:** Use the same formula for MIRR.

### Example Walkthrough:
Let's assume the following cash flows based on what I can discern from the image:

- Year 0: -$X (initial outlay)
- Year 1: $Y1
- Year 2: $Y2
- Year 3: $Y3
- Year 4: $Y4

Given the interest rate $r = 10\%$:

#### **Discounting Approach:**
1. Calculate the PV of negative cash flows.
2. Calculate the FV of positive cash flows.
3. Apply the MIRR formula.

Would you like me to calculate the MIRR based on specific cash flows extracted from the image? If so, I can guide you through the specific calculations.

Learn how to calculate the Modified Internal Rate of Return (MIRR) using three methods with a 10% interest rate. Understand the discounting approach, reinvestment approach, and combination approach step-by-step. Suitable for professionals in finance and project management.

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