What is the IRR of the following set of cash flows?  Year Cash Flow0 –$9,503            1 4,300            2 5,500            3 3,900

The Internal Rate of Return (IRR) is the discount rate that makes the Net Present Value (NPV) of a series of cash flows equal to zero. It's the rate at which the present value of future cash inflows equals the initial investment outflow.

Here's how to calculate it:

1. Set up the equation for NPV, which is the sum of the present values of all cash flows. The equation is: NPV = CF0 + CF1/(1+r) + CF2/(1+r)^2 + CF3/(1+r)^3 + ... + CFn/(1+r)^n = 0

2. Substitute the given cash flows into the equation: 0 = -9503 + 4300/(1+r) + 5500/(1+r)^2 + 3900/(1+r)^3

3. Solve the equation for r.

Unfortunately, this equation can't be solved algebraically for r when there are more than two cash flows. You'll need to use a financial calculator or software like Excel to find the IRR.

In Excel, you can use the IRR function. Enter the cash flows in a single row or column, and then use the IRR function on that range. The function will return the IRR.

Please note that the IRR calculation assumes that all cash flows are reinvested at the IRR rate, which may not be realistic.

To calculate the Internal Rate of Return (IRR) for the given set of cash flows, you would typically use a financial calculator or software like Excel, as the calculation involves solving for the roots of a polynomial equation, which can be complex. However, I'll outline the steps you would take:

1. Set up your cash flow timeline with the given values. In this case, it would look like this:

   Year 0: -$9,503 Year 1:$4,300 Year 2: $5,500 Year 3:$3,900

2. The IRR is the discount rate that makes the Net Present Value (NPV) of a series of cash flows equal to zero. The NPV formula is:

   NPV = ∑ [Cash flow / (1 + IRR)^n] - Initial Investment

   where n is the year.

3. You would then set the NPV to zero and solve for IRR. As mentioned, this typically requires a financial calculator or software. In Excel, you would use the IRR function, inputting the range of your cash flows.

Please note that the IRR can be misleading when used alone or when comparing projects of different scale and duration. It's always best to use it in conjunction with other financial metrics.