Select the correct statement/s from the following : Statement I : The slope of the NPV profile reflects how sensitive the project is to discount rate changes. Statement II : To find total NPV of more than one projects, their NPV cannot be added. Statement III : The certainty equivalent coefficient applies adjustments to both, the cash flows (in the numerator) and the discount factor (in the denominator). Statement IV : The risk - adjusted discount factor applies adjustment for risk only to the discount factor (denominator). Codes :
Statements IV and I are correct
Option 4 — Statements IV and I are correct is right.
The item tests the mechanics of NPV analysis and the two ways of building risk into capital budgeting.
| Statement | Verdict |
|---|---|
| I — slope of NPV profile shows sensitivity to the discount rate | Correct: a steeper NPV-vs-rate curve means NPV changes sharply as k changes |
| II — NPVs of several projects cannot be added | Wrong: NPV is value-additive; total NPV = sum of individual NPVs |
| III — certainty-equivalent adjusts both numerator and denominator | Wrong: it adjusts only the numerator (risky cash flows are converted to certain equivalents); the discount rate stays risk-free |
| IV — risk-adjusted discount rate adjusts only the denominator | Correct: risk is loaded into the discount rate (denominator), leaving cash flows unadjusted |
Thus the two accurate statements are I and IV, matching option 4. The distinction in III and IV is the classic contrast: the certainty-equivalent method works on cash flows, whereas the risk-adjusted-discount-rate method works on the discount factor.
Takeaway: NPV is additive (II false); CE adjusts the numerator only (III false); RADR adjusts the denominator (IV true); slope shows sensitivity (I true).
A public works project is proposed that has total present-worth benefits of ₹ 75 million and total present-worth cost of ₹ 55 million. In deliberating this proposal, some members of the Municipal Board have suggested that the project has a total present-worth disbenefits of ₹ 15 million; other members feel that ₹ 15 million should be treated as a cost. What will be the benefit cost ratio and net benefits value while considering the disbenefits as a cost?
Indicate the correct code of the combinations of the following methods commonly used for capital budgeting:
a. Payback Period
b. Profitability Index
c. Utility theory
d. Internal rate of return
Codes:
NPV and IRR methods of investment evaluation may give divergent accept-reject decisions on account of which of the following?
a. Varying initial investment
b. Divergent cash flows from the investment projects
c. Disparity in the lives of the investment projects
Indicate the correct code of their combinations.
Codes:
Under the Modified Accelerated Cost Recovery System (MACRS) an asset in the “5 year property class” would typically be depreciated over how many years ?
Select the correct statement/s from the following:
Statement I: The slope of the NPV profile reflects how sensitive the project is to discount rate changes.
Statement II: To find total NPV of more than one projects, their NPV cannot be added.
Statement III: The certainty equivalent coefficient applies adjustments to both, the cash flows (in the numerator) and the discount factor (in the denominator).
Statement IV: The risk-adjusted discount factor applies adjustment for risk only to the discount factor (denominator).
Codes:
Statement – I : In general, the NPV and IRR methods lead to the same acceptance or rejection decision when a single project is involved.
Statement – II : The inconsistency in ranking of competing projects as per the NPV and IRR methods lies in the implicit assumptions with regard to different rates of returns on re-investment of intermediate cash flows.
Code :
The capital budgeting appraisal criterion that is most appropriate in the situation of capital rationing will be:
For computation of cost of equity, arrange the following measures in the ascending order of accuracy:
I. Capital Asset Pricing Model
II. Dividend-Price Ratio
III. Earning-Price Ratio
IV. Dividend-Price Plus Growth Ratio
Which of the following are the assumptions of Modigliani and Miller’s Dividend Irrelavance Theory ?
A. Perfect Capital Market
B. No taxes
C. No transaction Cost and no time lag
D. Fixed Investment Policy
E. Investors behave irrationally
Choose the correct answer from the options given below :
Match the correct options for the following capital budgeting appraisal criteria:
| List - I | List - II |
|---|---|
| a. The criterion based on the cash flows of a limited period. | i. Internal Rate of Return |
| b. The criterion based on profit over life of the project. | ii. Pay-back Method |
| c. The criterion that considers cash flows over the life of project which considered the time value of money. | iii. Accounting Rate of Return |
| d. The criterion that derives the outcomes in terms of the rate of return considering the cash flows over the life of project with the time value of money. | iv. Net Present Value |
A firm is currently earning Rs. 50,000 and its one share has a present market value of Rs. 175. It has 5,000 shares outstanding. The earnings of the firm is expected to remain stable and it has a payout ratio of 100%. The cost of equity is:
With project cost of ₹300 lacs, profits after depreciation (straight line method) and tax for its lifetime of 5 years are estimated at ₹10 lacs, ₹10 lacs, ₹30 lacs, ₹40 lacs and ₹50 lacs respectively. The cost of capital is 12% and discount factors @ 12%, for the first five years are 0.89, 0.80, 0.71, 0.64 and 0.57 respectively. The Net present value of project is :
Match List I with List II
LIST I (Investment Decision rule) | LIST II (Feature) | ||
| A. | NPV | I. | Insufficiently consistent |
| B. | Payback | II. | Highly Inflexible |
| C. | Cash Returns | III. | Balance between flexibility and consistency |
| D. | Accounting Returns | IV. | Relatively consistent |
Choose the correct answer from the options given below:
If the Net Present Value (NPV) of an investment proposal is positive, what conclusions can be drawn?
A. The investment generated present value of cashflows exceed cost of investment
B. The discount rate used is less than the investments estimated return
C. The discount rate used equals the minimum return required by the investors
D. The investment generated present value of cashflows equals the cost of investment
E. The investment's Internal Rate of Return (IRR) exceeds the Cost of Capital
Choose the correct answer from the options given below:
Arrange (in descending order) the following present value of a growing perpetuity which makes first payment of Rs. 3,000 in next year.
A. Present value at 8% growth and 10% discount rate.
B. Present value at 3% growth and 9% discount rate.
C. Present value at 6% growth and 11% discount rate.
D. Present value at 5% growth and 6% discount rate.
E. Present value at 1% growth and 4% discount rate.
Choose the correct answer from the options given below