Initial cash investment of $388,000. The project will produce no cash flows for the first two years. The projected cash flows for years 3 through 7 are $69,000, $88,000, $102,000, $140,000, and $160,000, respectively. How long will it take the firm to recover its initial investment in this project?

6.92 years

Explanation:

The payback period measures how long it takes for the amount invested in a project to be recovered.

The total cost of the project is $388,000.

Because the project generates no cash flow in the first and second year , the amount recovered would be 0.

In the third year, the amount recovered of $388,000 is $69,000. This reduces the cost of the project to $319,000.

In the fourth year , the amount recovered is $88,000. This reduces the cost of the project to $231,000.

In the fifth year, the amount recovered is $102,000. This reduces the cost of the project to $129,000.

In the sixth year, the amount recovered is $140,000. This covers the cost of the project and generates a profit of $11,000.

The amount is recovered in the 6th year + 129000/ 140,000 = 6.92 years

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