To calculate the Internal Rate of Return (IRR) for Mrs. Natasha Stone's Moringa business investment, we need to find the rate at which the net present value (NPV) of the cash flows equals zero. The IRR is the discount rate that makes the sum of the present values of the future cash flows equal to the initial investment.

Given:

• Initial Investment (Year 0): $-350,000$
• Cash Flow Year 1: $50,000$
• Cash Flow Year 2: $100,000$
• Cash Flow Year 3: $200,000$

The formula to calculate NPV is:

$\text{NPV} = \sum_{t=0}^{n} \frac{CF_t}{(1 + r)^t}$

Where:

• $CF_t$ is the cash flow at time $t$,
• $r$ is the discount rate (which will be the IRR when NPV = 0),
• $t$ is the time period.

To find the IRR, we need to solve the following equation:

$0 = \frac{-350,000}{(1 + IRR)^0} + \frac{50,000}{(1 + IRR)^1} + \frac{100,000}{(1 + IRR)^2} + \frac{200,000}{(1 + IRR)^3}$

I'll now solve this equation to determine the IRR.It seems that the required function for calculating IRR isn't available in the current environment. However, I can solve the problem using an alternative method by iterating through possible rates until we find the one that results in an NPV close to zero. Let me calculate it manually.It seems that the function I attempted to use has been deprecated. I'll calculate the IRR using a simple iterative approach by testing various rates to zero in on the correct value.

Let me do that now.It appears that the IRR calculation yielded an unexpected result. This might be due to the specific cash flow structure. I'll adjust the calculation approach to refine the approximation further. Let's try a more focused range to hone in on the correct IRR.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, if you would like, I can guide you through how to calculate the IRR manually or with a financial calculator. Let me know if you need that, or if you have any other questions!

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Would you like to explore one of these topics next?

1. How to manually calculate IRR using Excel or a financial calculator.
2. The significance of the IRR in evaluating investments.
3. Comparing IRR with other investment appraisal methods like NPV.
4. What happens when IRR is lower than the cost of capital.
5. Understanding the impact of cash flow timing on IRR calculations.

Tip: The IRR is especially useful for comparing the profitability of different investments with similar risk profiles.