Final answer:
The Year 4 cash flow is $49,076.
Step-by-step explanation:
To calculate the Year 4 cash flow, we need to consider the operating cash flow, the net working capital, and the book value of the equipment. The operating cash flow for each year is $54,000. The net working capital required at the beginning of the project is $4,500, which will be recovered at the end. The book value of the equipment at the end of the project is $4,860, but it can be sold for $5,820. Taking into account the tax rate of 40 percent, we can calculate the Year 4 cash flow as follows:
Year 4 Cash Flow = Operating Cash Flow - Net Working Capital + (Sales Price of Equipment - Book Value of Equipment) - (Tax Rate × (Sales Price of Equipment - Book Value of Equipment))
Year 4 Cash Flow = $54,000 - $4,500 + ($5,820 - $4,860) - (0.40 × ($5,820 - $4,860))
Year 4 Cash Flow = $54,000 - $4,500 + $960 - (0.40 × $960)
Year 4 Cash Flow = $54,000 - $4,500 + $960 - $384 = $49,076