Determine the net present value for a project that costs $84,500 and would yield after-tax cash flows of $13,000 the first year, $15,000 the second year, $18,000 the third year, $20,000 the fourth year, $24,000 the fifth year, and $30,000 the sixth year. Your firm's cost of capital is 5.00%.

The net present value for the project is $14,680.61.

Explanation:

The net present value (NPV) of a project is the sum of the present values of all the after-tax cash flows minus the cost of the project. This can be calculated as follows:

NPV = (First year after-tax cash flows / (100% + Cost of capital)^1) + (Second year after-tax cash flows / (100% + Cost of capital)^2) + (Third year after-tax cash flows / (100% + Cost of capital)^3) + (Fourth year after-tax cash flows / (100% + Cost of capital)^4) + (Fifth year after-tax cash flows / (100% + Cost of capital)^5) + (Sixth year after-tax cash flows / (100% + Cost of capital)^6) - Project cost

NPV = ($13,000 / (100% + 5.00%)^1) + ($15,000/ (100% + 5.00%)^2) + ($18,000 / (100% + 5.00%)^3) + ($20,000 / (100% + 5.00%)^4) + ($24,000 / (100% + 5.00%)^5) + ($30,000 / (100% + 5.00%)^6) - $84,500

NPV = $14,680.61

Therefore, the net present value for the project is $14,680.61.