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A Note On The Financial Evaluation Of Projects

            

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NET PRESENT VALUE Contd..

To develop a better understanding of the calculation of the IRR, take a look at the following examples:

Firm XYZ Ltd. is planning to invest Rs 65,000 in its new project. This project is expected to last for 5 years. Its estimated cash flows are Rs 12,500, Rs 15,300, Rs 16,700, Rs 13,400 and Rs 14,300 for the year one, two, three, four and five respectively.

The IRR can be calculated using the following formula:


Using the trial and error method[7], different rates are substituted in the formula to find out which value can equalize the two sides of the formula. Let us first substitute “r” with 4%; then the left hand side of the equation changes to:

By using 4%, the value derived after solving the equation is less than Rs 65000. Hence, we take 3%.  



By using 3%, the value derived after solving the equation is more than Rs 65000. It is therefore clear that the actual IRR lies somewhere between 3% and 4%. Using interpolation[8], we find out a single value of IRR. The actual IRR calculated using interpolation is 3.67%. When the payback period is given, the IRR can be calculated as follows:

Where PB = Payback period
DFr = Discount factor for interest rate r
DFrL = Discount factor for lower interest rate
DFrH = Discount factor for higher interest rate.

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APPRAISAL TECHNIQUES IN PRACTICE FOR VARIOUS TYPES OF PROJECTS

CONCLUSION


EXHIBIT I ASPECTS OF PROJECT APPRAISAL


EXHIBIT II PROJECT EVALUATION TECHNIQUES

[7] Under this method we assume different discount rates to equal the right hand side of the equation to obtain the actual internal rate of return ‘r.'

[8] It is a statistical technique of finding a fairly approximate estimate of the unknown value of a function in absence of complete data.


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