Question

In: Finance

A company is considering investing in a project with an initial cost of $250,000. The cost...

A company is considering investing in a project with an initial cost of $250,000. The cost of capital is 15%. The project will generate $100,000 every year for four years. Calculate the NPV & IRR & determine if they should invest in this project.

Solutions

Expert Solution

Based on the given data, pls find below workings:

Currency in $
YEAR 0 1 2 3 4
Cash Flows -2,50,000     1,00,000     1,00,000     1,00,000     1,00,000
Cumulative Cash flows -2,50,000    -1,50,000       -50,000         50,000     1,50,000
               12                12                  6
Pay Back Period              2.5
IRR % 21.9%
Discounting Factor 15.00%
YEAR 0 1 2 3 3
Discounting Factor 1.0000 0.8696 0.7561 0.6575 0.5718
NPV
Discounted Cash Flow -2,50,000         86,957         75,614         65,752         57,175     35,498
Cumulative Discounted Cash flows -2,50,000    -1,63,043       -87,429       -21,677         35,498
               12                12                12                  5
Discounted Pay Back Period              3.4

Based on the above, the NPV of the project is positive $ 35498 and the IRR is 21.9% (higher than cost of capital) and Payback period is 2.5 years; Hence, it is recommeded to invest in this project.


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