CA Inter P6 · Chapter 7 · Question 4 of 10
A project has an NPV of ₹ 18,000 at a 12% discount rate and an NPV of -₹ 6,000 at 16%. Using linear interpolation, its IRR is approximately:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) 15%
Explanation
IRR = lower rate + [NPV at lower rate / (NPV at lower rate - NPV at higher rate)] x difference in rates = 12% + [18,000 / (18,000 + 6,000)] x 4% = 12% + 0.75 x 4% = 15%. Dividing by 18,000 - 6,000 instead of 18,000 + 6,000 is a common error.
More Investment Decisions MCQs
- Q6A project's annual profit before depreciation and tax is ₹ 4,00,000. Depreciation is ₹ 1,00,000 and the tax rate is 30%. The annual cash…
- Q7A company spent ₹ 2,00,000 last year on a feasibility study for a new plant. In deciding today whether to build the plant, how should this…
- Q8A firm has ₹ 10,00,000 available for investment. Three divisible, independent projects are available: P (outlay ₹ 4,00,000, NPV ₹…
- Q9When NPV and IRR rank two mutually exclusive projects differently, NPV is usually preferred because:
- Q10A project costs ₹ 3,00,000 and generates ₹ 1,40,000 a year for 3 years. The discount factors at 10% are 0.909, 0.826 and 0.751 for years 1…
