CMA Intermediate · Financial Management and Business Data Analytics · Capital Budgeting
A project has cash flows of −₹1,00,000 at Year 0, +₹2,30,000 at Year 1 and −₹1,32,000 at Year 2. Which statement about its IRR is correct?
With two sign changes in the cash flows, the project can have multiple IRRs; here both 10% and 20% give zero NPV. Because IRR is ambiguous in such non-conventional projects, the Modified IRR, which gives a single value, is the preferable measure.
- AIRR can be multiple because the cash flows change sign more than once, so MIRR is preferableCorrect
- BIRR is unique because total inflows exceed outflows
- CIRR cannot be calculated for any project with a negative final cash flow
- DIRR must equal the cost of capital
Explanation
The signs go −, +, −, which is two sign changes, so up to two IRRs may exist (here 10% and 20%: at 10% PV = −100,000 + 209,091 − 109,091 = 0). Total inflow versus outflow does not guarantee uniqueness. MIRR uses a single reinvestment and finance rate and gives one answer.
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