Estimating the Cash Flow Generated by $1 Invested in a Project

What is the profitability index (PI) in capital budgeting and how is it calculated based on the cash flow data provided for Blue Moose Home Builders' project? Should Blue Moose Home Builders accept or reject the project based on the PI calculation and why? How does the net present value (NPV) criterion compare to the profitability index in evaluating this project? Would a project with a negative NPV have a PI greater than 1.0?

Understanding Profitability Index (PI) and Calculation:

The profitability index (PI) is a capital budgeting tool used to estimate the cash flow generated by $1 invested in a project. It is calculated by dividing the present value of a project's cash inflows by the absolute value of its initial cash outflow. In this case, Blue Moose Home Builders is considering investing $2,225,000 in a project with expected net cash flows over four years: $350,000, $400,000, $425,000, and $425,000. The weighted average cost of capital (WACC) used for this evaluation is 10%. To calculate the PI, we first determine the present value of each cash flow using the formula: Present Value = Cash Flow / (1 + Discount Rate)^Time Period. Then, we sum up the present values and divide by the initial cash outflow to obtain the PI.

Analysis and Decision:

Based on the calculation, the project's PI is 0.5656, which is less than 1. Therefore, Blue Moose Home Builders should REJECT the project. A PI less than 1 indicates that the project may not generate sufficient cash flows to cover the initial investment and could potentially decrease the firm's value. The NPV criterion for this project yields a negative NPV, further supporting the decision to reject the project. A project with a negative NPV typically has a PI less than 1.0, as seen in this case. The relationship between NPV and PI reinforces the decision-making process in evaluating investment opportunities.

Comparison and Conclusion:

The profitability index provides a valuable metric to assess investment efficiency and potential returns. In contrast, the net present value considers the time value of money and cash flows to determine the project's value in today's terms. Both criteria play crucial roles in capital budgeting decisions, offering complementary perspectives on project viability. Despite the project's attractive cash flow projections, the PI and NPV calculations indicate that the investment may not align with Blue Moose Home Builders' value maximization goal. By prioritizing financial metrics like the PI and NPV, companies can make informed decisions regarding capital allocation and growth opportunities. In conclusion, the profitability index serves as a fundamental tool in evaluating the cash flow generated by investments, guiding firms like Blue Moose Home Builders in their capital budgeting strategies and decision-making processes.

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