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Growth Enterprises believes its latest project, which will cost $99,000 to insta

ID: 2772259 • Letter: G

Question

Growth Enterprises believes its latest project, which will cost $99,000 to install, will generate a perpetual growing stream of cash flows. Cash flow at the end of the first year will be $7,000, and cash flows in future years are expected to grow indefinitely at an annual rate of 5%.

If the discount rate for this project is 10%, what is the project NPV?

What is the project IRR?

Growth Enterprises believes its latest project, which will cost $99,000 to install, will generate a perpetual growing stream of cash flows. Cash flow at the end of the first year will be $7,000, and cash flows in future years are expected to grow indefinitely at an annual rate of 5%.

If the discount rate for this project is 10%, what is the project NPV?

What is the project IRR?

Explanation / Answer

Formula to Calculate Net Present Value:

PV = C1 / d - g

C1 = Cash Flow next Year = 7,000

d = Discount Rate = 10%

g = Growth Rate = 5%

PV = 7,000 / 0.10 - 0.05 = $140,000

NPV = PV of Inflow - Outflow

NPV = 140,000 - 99,000 = $41,000.

Compute irr of the project.

The irr is 21% using excel.