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Gemiola [76]
3 years ago
9

A project has an initial cost of $48,425, expected net cash inflows of $11,000 per year for 8 years, and a cost of capital of 12

%. What is the project's payback period
Business
1 answer:
ValentinkaMS [17]3 years ago
4 0

The project's payback period is 6.51 years.

Present value of year 1 cash flow = 12000 / (1 + 0.12) = 10,714.28571

Present value of year 2 cash flow = 12000 / (1 + 0.12)2 = 9,566.32653

Present value of year 3 cash flow = 12000 / (1 + 0.12)3 = 8,541.36297

Present value of year 4 cash flow = 12000 / (1 + 0.12)4 = 7,626.21694

Present value of year 5 cash flow = 12000 / (1 + 0.12)5 = 6,809.12227

Present value of year 6 cash flow = 12000 / (1 + 0.12)6 = 6,079.57345

Present value of year 7 cash flow = 12000 / (1 + 0.12)7 = 5,428.19058

Cumulative cash flow for year 0 = -52,125

Cumulative cash flow for year 1 = -52,125 + 10,714.28571 = -41,410.71429

Cumulative cash flow for year 2 = -41,410.71429 + 9,566.32653 = -31,844.38776

Cumulative cash flow for year 3 = -31,844.38776 + 8,541.36297 = -23,303.02479

Cumulative cash flow for year 4 = -23,303.02479 + 7,626.21694 = -15,676.80785

Cumulative cash flow for year 5 = -15,676.80785 + 6,809.12227 = -8,867.68558

Cumulative cash flow for year 6 = -8,867.68558 + 6,079.57345 = -2,788.11213

Cumulative cash flow for year 7 = -2,788.11213 + 5,428.19058 = 2,640

2,788.11213 / 5,428.19058 = 0.51

Discounted payback period = 6 + 0.51 = 6.51 years.

Cash flow is the money that goes into your business and can come from selling, investing, or raising funds. It's the opposite of the cash outflow, which is the money to leave the company. A company's ability to create value for its shareholders is determined by its ability to generate positive cash flow.

Learn more about cash inflows here: brainly.com/question/735261

#SPJ4

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