Question

A proposed project has an initial cost of $38,000 and cash inflows of $12,300, $24,200, and $16,100 for years 1 through 3, respectively. The required rate of return is 16.8 percent. Based on IRR, should this project be accepted? Why or why not?

Answer 1

Answer:

IRR is greater than required return by 17.38 - 16.8 % = 0.58 %

so project will accept

Explanation:

given data

initial cost = $38,000

cash inflows year 1 =  $12,300

cash inflows year 2= $24,200

cash inflows year 3 = $16,100

rate of return = 16.8 %

solution

we consider here IRR is = x so

present value of inflows is equal to present value of outflows   .............1

we can say that it as

initial cost = present value

3800 = $\frac{12300}{1*x} +\frac{24200}{(1*x)^2} +\frac{16100}{(1*x)^3}$

solve it we get

x = 17.38%

here IRR is greater than required return by 17.38 - 16.8 % = 0.58 %

so project will accept