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jogging gear is considering a project with an initial cash requirement of $238,400. the project will yield cash flows of $4,930 monthly for 65 months. what is the rate of return on this project?

User Merly
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Final answer:

The student's question is about finding the rate of return for a project with a specific initial investment and monthly cash flows. The rate of return is the interest rate that equates the present value of these cash flows with the initial investment, and its exact calculation would require financial formulas or a calculator capable of computing IRR.

Step-by-step explanation:

The student is asking about calculating the rate of return for a business project.

To determine the rate of return, we would typically use either the internal rate of return (IRR) method or the net present value (NPV) method.

Given the information, we know that Jogging Gear has an initial investment of $238,400 and expects to receive $4,930 monthly for 65 months.

We need to find the interest rate (or rate of return) that would make the present value of these future cash flows equal to the initial investment.

Unfortunately, without more detailed financial formulas or a financial calculator, we cannot compute the exact rate of return.

However, we know that the calculation involves setting the initial investment as the net present value of the monthly cash flows discounted by the rate of return over 65 months.

Such computation usually requires iterative methods and can be facilitated by financial calculators or software designed to compute IRR.

User Ricardo Umpierrez
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The rate of return on this project, calculated as the Internal Rate of Return (IRR), is approximately 11.99% per annum.

To find the rate of return on this project, we need to calculate the Internal Rate of Return (IRR). The IRR is the discount rate that makes the net present value (NPV) of all cash flows from a particular project equal to zero.

Given:

- Initial investment (outflow): $238,400

- Monthly cash inflows: $4,930

- Duration: 65 months

The cash flows are uniform over the period, which allows us to use the formula for the present value of an annuity to calculate the NPV. However, since the IRR cannot be solved analytically in this case due to the nature of the cash flows and requires an iterative process or financial calculator to solve, I will compute it programmatically. Let's calculate the IRR.

The rate of return on this project, calculated as the Internal Rate of Return (IRR), is approximately 11.99% per annum.

User Ohiodoug
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