Question

In: Finance

A project will produce an operating cash flow of $15,200 a year for four years. The...

A project will produce an operating cash flow of $15,200 a year for four years. The initial cash investment in the project will be $50,000. The net after-tax salvage value is estimated at $4,000 and will be received during the last year of the project’s life. What is the internal rate of return for this project? Should the project be accepted if the cost of capital is 10%?

Group of answer choices

8.31%; No, project should be rejected

10.81%; Yes, project should be accepted

8.31%; Yes, project should be accepted

10.81%; No, project should be rejected

10.25%; Yes, project should be accepted

Solutions

Expert Solution

Ans 10.81%; No, project should be rejected

Project must be rejected when IRR exceed cost of capital

Year Project Cash Flows (i) DF@ 5% DF@ 5% (ii) PV of Project ( (i) * (ii) ) DF@ 15% (iii) PV of Project ( (i) * (iii) )
0 -50000 1 1                          (50,000.00) 1             (50,000.00)
1 15200 1/((1+5%)^1) 0.952381                             14,476.19 0.870               13,217.39
2 15200 1/((1+5%)^2) 0.907029                             13,786.85 0.756               11,493.38
3 15200 1/((1+5%)^3) 0.863838                             13,130.33 0.658                  9,994.25
4 19200 1/((1+5%)^3) 0.822702                             15,795.89 0.572               10,977.66
NPV                               7,189.26 NPV               (4,317.32)
IRR = Ra + NPVa / (NPVa - NPVb) * (Rb - Ra)
5% + 7189.26 / (7189.26 + 4317.32)*10%
10.81%

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