In: Finance
The Merriweather Printing Company is trying to decide on the merits of constructing a new publishing facility. The project is expected to provide a series of positive cash flows for each of the next four years. The estimated cash flows associated with this project are as follows:
| 
 Year  | 
 Project Cash Flow  | 
|
| 
 0  | 
  ?  | 
|
| 
 1  | 
 $780,000  | 
|
| 
 2  | 
 350,000  | 
|
| 
 3  | 
 270,000  | 
|
| 
 4  | 
 510,000  | 
If you know that the project has a regular payback of 3 years, what is the project's IRR? The IRR of the project is (?)%. (Round to two decimal places.)
Payback period=Last period with a negative cumulative cash flow+(Absolute value of cumulative cash flows at that period/Cash flow after that period).
Hence initial cost =780,000+350,000+270,000
=$1,400,000
Let irr be x%
At irr,present value of inflows=present value of outflows.
1,400,000=780,000/1.0x+350,000/1.0x^2+270,000/1.0x^3+510,000/1.0x^4
Hence x=irr=15.48%(Approx)