Question

A project has cash flows of -152,000, 60,800, 62300, and 75000 for years 0 to 3 respectively. The required rate of return is 13 years percent. Based on the internal rate of return of__________percent, you should________the project.

Answer 1

Answer:

Based on the IRR of 14.05 percent, you  should be accept the project

Explanation:

Internal rate of Return is the discount rate of that equates the present value of cash inflows to the initial cost. It is the maximum cost of capital that can be used to evaluate a project without causing harm to the shareholders.

It is calculated as follows:

IRR = a% + ( NPVa/(NPVa + NPVb)× (b-a)%

NPV = PV of cash inflows - initial cost

Step 1: NPVa at 13% discount rate

PV of cash inflow =  60,800× 1.13^(-1) + 62300 ×1.13^(-2) +   75000 ×1.13^(-3)

                           =  154,574.11  

NPVa =  154,574.11   - 152000 =  2,574.11  

Step 2: NPVb  at 20%

PV of cash inflow = 60,800× 1.20^(-1) + 62300 ×1.20^(-2) +   75000 ×1.20^(-3)   =  137,333.33  

NPVb =  137,333.33   - 152,000 =  (14,666.67)

Step 3: IRR

IRR = 13% + ( 2,574.11  /(2,574.11  + 14,666.67) )× (20-13)%

IRR = 14.05%

Based on the IRR of 14.05%, the project you  should be accept the project

Since the IRR (14.05%) is greater than the required rate rate (13%) , the project should be accepted. An IRR which is  higher than the hurdle rate implies that the project would increase the wealth of the shareholders