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In: Finance

Vail Recreation is analyzing a project that will generate cash flows of $10,650, $11,600, $14,700, and...

Vail Recreation is analyzing a project that will generate cash flows of $10,650, $11,600, $14,700, and $9,200 over each of the next four years, respectively. The profitability index (PI) is the way they analyze their investment projects. The appropriate required return for a project like this is 9 percent. This project has a PI of 1.347. Based on this information provided, determine the Time 0 cost for this project.  

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Expert Solution

Ans $ 27767.44

Year Project Cash Flows (i) DF@ 9% DF@ 9% (ii) PV of Project ( (i) * (ii) )
1 10650 1/((1+9%)^1) 0.917431                               9,770.64
2 11600 1/((1+9%)^2) 0.841680                               9,763.49
3 14700 1/((1+9%)^3) 0.772183                             11,351.10
4 9200 1/((1+9%)^4) 0.708425                               6,517.51
NPV                             37,402.74
PI = Present value of cash inflows / Cash outflows
1.347 = 37402.74 / Cash outflows
Cash Outflows = 37402.74 / 1.347
Cash Outflows = 27767.44

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