Question

MIRR

The Caffeine Coffee Company uses the MIRR. The firm has a cost of capital of 12 percent. The project being analyzed has a $27,000 initial investment and is expected to produce the following cash flows:

 

YearCash Flow
1$15,000     
212,000     
39,000     

 

a. What is the MIRR? (Use a Financial calculator to arrive at the answers. Round the final answer to 2 decimal places.)

 

MIRR             %

 

b. What is the traditional IRR? (Round the final answer to 1 decimal place.)

 

Traditional IRR             %


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Answer #1

a.

Initial investment = $27,000


Cash Flows:

Year 1 = $15,000

Year 2 = $12,000

Year 3 = $9,000


The company will recover its initial investment of $27,000 in the first 2 years. So, the payback period will be 2 years.


b.

Let IRR be i%


NPV = -$27,000 + $15,000/(1+i) + $12,000/(1+i)^2 + $9,000/(1+i)^3

0 = -$27,000 + $15,000/(1+i) + $12,000/(1+i)^2 + $9,000/(1+i)^3


Using financial calculator, i = 17.51%


IRR of the project is 17.51%


If the cost of capital is 12%, then the company should accept this project as its IRR is greater than the cost of capital.


answered by: Gavin
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