Internal Rate of Return (IRR)

&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad1" id&equals;"quads-ad1" style&equals;"float&colon;left&semi;margin&colon;0px 0px 0px 0&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;<p style&equals;"text-align&colon; justify&semi;">Some firms calculate the net present value NPV of a project for knowing its work and few firms prefer to calculate the internal rate of return &lpar;IRR&rpar; to know whether project’s return is lower or greater than the opportunity cost of given project’s capital&period; For example&comma; take a real estate sector&comma; a firm wants to build a house and is planning to invest amount of &dollar;600&comma;000 in this project to calculate a cash flow of C1&equals; 700&comma;000 after one year&period; Therefore the firm forecasts a profit of &dollar;100&comma;000 on the project &lpar;700&comma;000-600&comma;000&equals;100&comma;000&rpar;&period; This is a one period investment in which it is easy to find out the IRR&period; Internal rate of return for various periods will be calculated as follows&colon;<&sol;p>&NewLine;<p style&equals;"text-align&colon; justify&semi;">IRR &equals; PROFIT&sol;INVESTMENT&equals;C1-INVESTMENT&sol;INVESTEMENT&equals;700&comma;000-600000&sol;600&comma;000<&sol;p>&NewLine;<p style&equals;"text-align&colon; justify&semi;">The investing in the alternative in a treasury note would just give a return of 8&percnt;&comma; though the return on the real estate project is greater than the opportunity cost of invested capital&period; This gives two rules for deciding to go with real estate project&colon;<&sol;p>&NewLine;<ol style&equals;"text-align&colon; justify&semi;">&NewLine;<li>&NewLine;<div><strong>NPV&colon;<&sol;strong> You must go for a project that has positive net present value&comma; when payoffs are discounted at the alternative opportunity cost of capital&period;<&sol;div>&NewLine;<&sol;li>&NewLine;<li>&NewLine;<div><strong>IRR&colon;<&sol;strong> A firm should invest in a project which gives ROR that is greater than alternative opportunity cost of capital&period;<br &sol;>&NewLine;Both rates have the same cutoff point&period;<&sol;div>&NewLine;<&sol;li>&NewLine;<&sol;ol>&NewLine;<p style&equals;"text-align&colon; justify&semi;">An investment with a net present value of zero will have a return that is same as the cost of capital&period; Suppose treasury notes have 16&period;7&percnt; of the return instead of 8&percnt;&period; Since real estate project also gives a return of 16&period;7&percnt;&comma; the rule number two suggest that now a firm can invest in a project or treasury notes because both have same return&period;<br &sol;>&NewLine;The net present value shows that if the return rate is 16&period;7&percnt; then the project is also balanced with a zero NPV&period;<br &sol;>&NewLine;NPV&equals; Co &plus;C1&sol;1&plus;R&equals; -600&comma;000&plus;700&comma;000&sol;1&period;167&equals;0<&sol;p>&NewLine;<p style&equals;"text-align&colon; justify&semi;">This indicates that real estate investment would not make a firm poorer or richer&semi; here worth is equal to the cost of a project&period; Thus both rules provide the same decisions about the project&period;<&sol;p>&NewLine;<p style&equals;"text-align&colon; justify&semi;"><strong>Rate of Return &lpar;ROR&rpar; Rule&colon;<&sol;strong><&sol;p>&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad2" id&equals;"quads-ad2" style&equals;"float&colon;none&semi;margin&colon;0px 0 0px 0&semi;text-align&colon;center&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;&NewLine;<p style&equals;"text-align&colon; justify&semi;">It is clear that if the real estate project is discounted at 8&percnt;&comma; it has the net present value of 48&comma;200&period; If project is discounted at 16&period;7&percnt;&comma; than it has a net present value of zero&period; The two noticeable things about the Rate of Return are&colon;<&sol;p>&NewLine;<ol style&equals;"text-align&colon; justify&semi;">&NewLine;<li>&NewLine;<div>Rate of return in the project &lpar;16&period;7&percnt;&rpar; is also the discount rate that gave the zero NPV to the project&period; It means ROR is also the discount rate at which net present value is same as zero&period;<&sol;div>&NewLine;<&sol;li>&NewLine;<li>&NewLine;<div>NPV of the project would be positive when opportunity cost of the project is less than the rate of return of the project&period; NPV of the project would be negative when opportunity cost of the project is higher than its rate of return&period; These both rules such as Net Present Value and Rate of Return are equivalent&period;<&sol;div>&NewLine;<&sol;li>&NewLine;<&sol;ol>&NewLine;&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad3" id&equals;"quads-ad3" style&equals;"float&colon;none&semi;margin&colon;0px&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;&NewLine;

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