Final answer:
The MIRR for a project is calculated by finding the terminal value of positive cash flows compounded at the reinvestment rate, the present value of the initial investment at the finance rate, and then solving for the rate that equates these values. In this case, with a 10.1% cost of capital, we would use it for both the finance and reinvestment rate to find the MIRR.
Step-by-step explanation:
To compute the Modified Internal Rate of Return (MIRR) for a project, one must follow a multi-step process. First, we must identify the finance rate, which is the cost of capital, and the reinvestment rate, which is typically the same as the cost of capital in the MIRR calculation. In this case, with a 10.1% cost of capital, we use this as both the finance and reinvestment rate.
The MIRR calculation involves three main steps:
- Calculating the terminal value (TV) of the cash flows, which includes compounding all positive cash flows to the end of the project's life at the reinvestment rate.
- Calculating the present value of the initial investment at the finance rate.
- Finally, using these two values to solve for the rate that sets the present value of the cash inflows equal to the present value of the cash outflows, which is the MIRR.
Unfortunately, without a financial calculator or software, the actual computation cannot be provided here due to the complexity of the calculation.