If a project's NPV is positive, then it is IRR is greater than its cost of capital. a. True b. False | Homework.Study.com (2024)

Copyright

Business Finance Net present value

Question:

If a project's NPV is positive, then it is IRR is greater than its cost of capital.

a. True

b. False

NPV:

NPV, or net present value, of a project is estimated by subtracting initial investment from the present value of future earnings. Note that, the output will change when selected discount rate is modified.

Answer and Explanation:1

The statement is TRUE..

  • When the NPV is positive, it means that initial investment is less than the present value of future cash flows.
  • At a discount...

See full answer below.

Become a member and unlock all StudyAnswers

Start today. Try it now

Create an account

Ask a question

Our experts can answer your tough homework and study questions.

Ask a question Ask a question

Search Answers

Learn more about this topic:

If a project's NPV is positive, then it is IRR is greater than its cost of capital. a. True b. False | Homework.Study.com (1)

Get access to this video and our entire Q&A library

Try it now

Net Present Value | NPV Calculations, Formula & Examples

from

Chapter 5/ Lesson 20

23K

Learn about what net present value is, how it is calculated both for a lump sum and for a stream of income over multiple years. View some examples on NPV.

Related to this Question

  • If a project has a positive NPV, the project IRR will exceed the firm's WACC. a) True b) False
  • True or False: If the NPV is greater than the cost of capital, a project should be accepted.
  • Even if a capital budgeting analysis indicates a project will have a positive NPV, the project could, in fact, turn out not to be profitable. a) True b) False
  • True or False: If its IRR is greater than the cost of capital, a project should be accepted.
  • Positive NPV projects may be rejected when capital must be rationed. True False
  • The mutually exclusive project with the highest positive NPV will also have the highest IRR. True False
  • True or False: The mutually exclusive project with the highest positive NPV will also have the highest IRR.
  • True or False:A basic rule in capital budgeting is that if a project's NPV exceeds its IRR, then the project should be accepted.
  • True or false? If Project A has a higher IRR than Project B, then Project A must also have a higher NPV.
  • True or False: An increase in the discount rate used in computing the NPV of a project will lower the value of the NPV for that project.
  • A firm is considering only 2 projects, both of which have positive a NPV. The firm only has enough capital to invest in one project. The firm should select the project with the lowest NPV. a) True b) False
  • Which one of the following statements is false? a. A project destroys value when the NPV is less than 0. b. When the IRR is less than the cost of capital, the NPV is negative. c. When the NPV is 0, the IRR is equal to the cost of capital. d. A project is
  • If a project's IRR is equal to its required return, then the project's NPV is equal to zero and its PI is equal to one. True False
  • True or False? A project's NPV decreases as the WACC declines.
  • True or false? A project with NPV = 0 is never acceptable.
  • Answer true or false and explain. A project's IRR is independent of the firm's cost of capital. In other words, a project's IRR doesn't change with a change in the firm's cost of capital.
  • True or False? A project's IRR increases as the WACC declines.
  • We cannot draw a project's NPV profile unless we know the appropriate WACC for use in evaluating the project's NPV. True False
  • Ranking projects on IRR is OK if each project's cash flows can be reinvested at the project's IRR. True False
  • If the net present value of a project is greater than zero, the firm will earn a return greater than its cost of capital. The acceptance of such a project would enhance the wealth of the firm's owners. a. True b. False
  • The NPV profile graph for a normal project will generally have a positive (upward) slope as the life of the project increases. True False
  • Project cost of capital and company cost of capital are synonymous terms. a. True b. False
  • A project's equivalent annual annuity (EAA) is the annuity cash flow that yields the same present value as the project's NPV. True False
  • An NPV profile graph is designed to give decision makers an idea about how a project's contribution to the firm's value varies with the cost of capital. True False
  • An NPV profile graph shows how a project's payback varies as the cost of capital changes. True False
  • When considering a number of investment projects, the project that has the best payback period will also always have the highest net present value. True or false?
  • The project cost of capital depends on how the capital is used. a. True b. False
  • If a project has zero NPV when the expected cash flows are discounted at the weighted-average cost of capital, then the project's cash flows are just sufficient to give debt holders and shareholders the return they require. True or false?
  • Project A and Project B are mutually exclusive. Project A has an expected NPV of $2.00, while Project B has an expected NPV of $2.25. The correct decision is to accept both projects. Is this statement true or false? Explain.
  • If the NPV of a project is positive, the IRR is __________ the cost of capital. a. riskier than b. less than c. greater than d. equal to
  • The cost of capital for a project refers to the percent at which a company can borrow money for the project. a. True. b. False.
  • True or False: In a regular project with an initial cash outflow and subsequent cash inflows, the net present value is negative when the cost of capital is less than IRR.
  • The cost of capital always depends on the risk of the project being evaluated. Therefore the company cost of capital is useless. True False
  • The costs of external financing must be deducted from the net present value (NPV)of a project to evaluate if it is worth undertaking. a. True b. False
  • If two projects are mutually exclusive then the IRR is more important than the NPV in deciding the project that should be chosen. True False
  • If two projects are mutually exclusive, then the IRR is more important than the NPV in deciding the project that should be chosen. a. True b. False
  • A project with a NPV of zero should be rejected since even the returns on U.S. Treasury bill are greater than zero. True False
  • As a project's beta increases, the project's opportunity cost of capital increases. a. True b. False
  • The profitability index is the ratio of the company's net income (or profits) to the initial outlay or cost of a capital budgeting project. True False
  • True or false? Stock dividends may come at the expense of forgoing positive net present value projects.
  • In a capital rationing situation, the profitability index may be used in place of net present value to choose among projects. a. True b. False
  • True or false? If a project's internal rate of return (IRR) exceeds the required return, then the project's net present value (NPV) must be negative.
  • Determine if the following statement is true or false. If the relative riskiness of two projects are being incorporated into a net present value analysis by using a risk adjusted cost of capital, then
  • If an investment project would make use of land which the firm currently owns, the project should be charged with the opportunity cost of the land. True or False?
  • True or False? One defect of the IRR method is that it assumes that the cash flows to be received from a project can be reinvested at the IRR itself, and that assumption is often not valid.
  • True or false? A project with a shorter payback period will always have a larger NPV than a project with a longer payback period.
  • The goal of the capital budgeting decisions is to select capital projects that will decrease the value of the firm. True False
  • The goal of capital budgeting decisions is to select capital projects that will decrease the value of the firm. True or false?
  • If the net present value of a project is zero, then the profitability index will equal one. True False
  • Opportunity costs incurred due to a proposed project generally should be included in the capital budgeting analysis. True False
  • A project's IRR is analogous to the concept of the yield to maturity for bonds. True False
  • A project that is very sensitive to the selection of a discount rate will have a steep net present value profile. True False Explain.
  • The net present value of a project will increase as the required rate of return is decreased (assume only one sign reversal). True False
  • The most critical aspect in determining the acceptability of a capital budgeting project is the impact the project will have on the company's net income over the projects entire useful life. True False
  • The project cost of capital depends on the use to which that capital is put. Therefore, it depends on both the risk of the project and also on the risk of the company. a. True b. False
  • An investment project with a project profitability index of -0.02 has an internal rate of return that is larger than the discount rate. True or false?
  • If a company with a low credit rating invests in a low-risk project, it should discount the cash flows at a relatively high cost of capital. a. True b. False
  • The internal rate of return is the discount rate that equates the present value of the project's future free cash flows with the project's initial outlay. True False
  • The internal rate of return is the discount rate that equates the present value of the project's free cash flows with the project's initial cash outlay. True False
  • What is the project's NPV? Note that a project's projected NPV can be negative, in which case it will be rejected. WACC = 10% Year:0123 Cash flows:-$1,000$450$460$470
  • Mutually exclusive projects have more than one IRR. True False
  • True or false? Net present value (NPV) is the difference between the present value (PV) of the benefits and the present value (PV) of the costs of a project or investment.
  • True or False? One defect of the IRR method is that it does not take account of cash flows over a project's full life.
  • NPV may be used to select among projects of different sizes. True False
  • True or False? Real options can affect the size of a project's expected NPV but not project's risk as measured by the standard deviation or coefficient of variation of the NPV.
  • Which of the following statements is CORRECT? a. If Project A's IRR exceeds Project B's, then A must also have the higher NPV. b. If the NPV is negative, the IRR must also be negative. c. If a project
  • If a project's internal rate of return is greater than the project's required return, then the project's profitability index will be greater than one. True False Explain.
  • Determine whether the following statement is true or false: If the present value of the benefits received outweigh the present value of the costs incurred, then a company should make the decision to invest in the project.
  • If a project's profitability index is less than one then the project should be rejected. True False
  • When discounted cash flow methods of capital budgeting are used, the working capital required for a project is ordinarily counted as a cash outflow at the beginning of the project and as a cash inflow at the end of the project. True or false?
  • IRR should not be used to choose between mutually exclusive projects. True False
  • State True or False. Two projects are being considered. The net investment required for both is the same. The project with the shorter payback will always be the more profitable project.
  • Which of the following statements is CORRECT? a. If a project with normal cash flows has an IRR greater than the WACC, the project must also have a positive NPV. b. If Project A's IRR exceeds Project B's, then A must have the higher NPV. c. A project's MI
  • If the WACC of a project is 14% and the projected IRR of the project is 11%, what can you tell me about the NPV of the project?
  • Indicate whether the following statement is true or false: The project cost of capital depends on the risk of the company undertaking the project.
  • Which of the following statements is normally correct for a project with a positive NPV? a) IRR exceeds the cost of capital. b) Accepting the project has an indeterminate effect on shareholders. c) The traditional payback period exceeds the life of the pr
  • Answer with true or false. In project cash flow estimation, strategic value is defined as the value inherent in projects that are large in comparison to the business's average project.
  • Because the NPV and PI methods both yield the same accept/reject decision, a company attempting to rank capital budgeting projects for funding consideration can use either method and get the same results. True False
  • Projects S and L have the following cash flows, and both have an 11% cost of capital. What is S's NPV? A. $183.19 B. $178.88 C. $172.29 D. $185.41 E. $167.06
  • A project's net present value profile shows how sensitive the project is to the choice of a discount rate. True False
  • When computing the project profitability index of an investment project, the investment required will include any investment made in working capital at the beginning of the project. True or false?
  • Question 1 For mutually exclusive projects whose NPV Profiles (graphs) intersect, IRR is a more reliable criteria for project selection than NPV. True False 1 points Question 2 Other things the same,
  • The IRR is the true or actual rate of return being earned by the project. Do you agree or disagree? Discuss.
  • Compute the NPV for Project M if the appropriate cost of capital is 7 percent. (Negative amount s... Compute the NPV for Project M if the appropriate cost of capital is 7 percent. (Negative amount sho
  • True or False: For a project with a normal cash flow pattern, other things held constant, an increase in the project's cost of capital will result in a decrease in the project's NPV.
  • Regardless of the particular source of funds utilized for a project, the required rate of return, or discount rate, will be the weighted average cost of capital. a. True b. False
  • State True or False: In a capital budgeting analysis, interest paid on a loan that must be taken to finance the project must be included in the analysis.
  • Whenever the internal rate of return on a project equals that project's required rate of return, the net present value equals zero. True False
  • Projects A and B both have an NPV of $42 at the opportunity cost of capital of 13 percent. Project A has an IRR of 14 percent and B has an IRR of 15 percent. What is the IRR of the incremental project
  • The return on equity is equal to the return on assets of a project/firm. a. Never true. b. Always true. c. Sometimes true.
  • Two projects being considered have the following projected cash flows: What is the NPV of Project B if the cost of capital were 15%? A. -$18,750 B. $4,917.70 C. $40,000.00 D. -$8,014.19
  • Two projects that have the same cost and the same expected cash flows will have the same net present value. True False
  • Compute the NPV for Project M if the appropriate cost of capital is 9%. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your final answer to 2 decim
  • A company that ranks projects on IRR will encourage managers to propose projects with quick paybacks and low up-front investment. True False Explain.
  • A. If the NPV for a project is +400, using a discount rate(cost of capital) of 14%, then the IRR for the project must be: a. Less than 14% b. Equal to 14% c. Greater than 14% d. None of the above
  • The usefulness of adjusting the firm's weighted average cost of capital to account for a project's risk is limited because the risk premium is arbitrarily determined and is subject to error. True or False?
  • If the opportunity cost of capital is 10%, what is the project's NPV? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.) Revenues generated by a new fad product are forec
  • Given the following cash flows for a capital project, calculate the IRR. Year 0 1 2 3 4 5 Cashflows ($50,467) $12,746 $14426 $21548 $8580 $4959

Explore our homework questions and answers library

Browseby subject

    • Math
    • Social Sciences
    • Science
    • Business
    • Humanities
    • History
    • Art and Design
    • Tech and Engineering
    • Health and Medicine

Ask a Question

To ask a site support question,click here

If a project's NPV is positive, then it is IRR is greater than its cost of capital.  a. True  b. False | Homework.Study.com (2024)

FAQs

If a project's NPV is positive, then it is IRR is greater than its cost of capital. a. True b. False | Homework.Study.com? ›

At the IRR rate, the NPV is zero, and to make it positive, the cost of capital has to be less than the IRR.

What happens to IRR if NPV is positive? ›

The accept-reject rule states that a project should be accepted if it has a positive NPV and an IRR higher than the discount rate, or rejected if it has a negative NPV and an IRR lower than the discount rate.

Does higher NPV mean higher IRR? ›

With NPV, proposals are usually accepted if they have a net positive value. In contrast, IRR is often accepted if the resulting IRR has a higher value compared to the existing cutoff rate. Projects with a positive net present value also show a higher internal rate of return greater than the base value.

What happens when IRR is greater than cost of capital? ›

In general, the IRR method indicates that a project whose IRR is greater than or equal to the firm's cost of capital should be accepted, and a project whose IRR is less than the firm's cost of capital should be rejected.

Can a project's NPV be positive even if its IRR is less than the cost of capital? ›

NPV can be defined as the value where, Present Value of Cash Inflows is greater than Present Value of Cash Outflows. But, IRR is the rate at which Present Value of Cash Inflows is equal to Present Value of Cash Outflows. So, NPV has to be zero in this case, it can't be positive.

What happens when NPV is positive? ›

A positive NPV indicates that the projected earnings generated by a project or investment—discounted for their present value—exceed the anticipated costs, also in today's dollars. It is assumed that an investment with a positive NPV will be profitable.

What is the relationship between NPV and IRR? ›

Essentially, the IRR is the rate at which the NPV of an investment equals zero. When you calculate IRR, you treat it as a cut-off point for investment decisions. For example, your organization may specify that it will only run projects if they exceed a "hurdle rate" of 11 percent.

Can you have a higher IRR but a lower NPV? ›

If there is only one change of sign in the cash flows from negative to positive, as in initial investment (negative) followed by net revenue in all future periods (positive), then if NPV is negative at an interest rate, then the IRR will be lower than that rate. So the two methods always give the same answer.

What does it mean when IRR is higher? ›

The Bottom Line. The internal rate of return (IRR) is a metric used to estimate the return on an investment. The higher the IRR, the better the return of an investment. As the same calculation applies to varying investments, it can be used to rank all investments to help determine which is the best.

Are IRR and NPV inversely related? ›

Since the earlier payments tend to be the outflows, the NPV profile generally shows an inverse relationship between the discount rate and NPV. The discount rate at which the NPV equals 0 is called the internal rate of return (IRR).

Is IRR affected by cost of capital? ›

If cost of capital decreases, then the NPV calculation will be different as we will discount the cash flows with a lower discount rate - the NPV will increase. But cost of capital has absolutely no impact on the IRR because IRR shows the return of the project itself based on its cash flows.

What if IRR is equal to cost of capital? ›

If IRR only equals the cost of capital, then there would be no surplus earnings. No profit or no loss situation. The shareholders get the value they required but there will be no growth in the Company.

Why is IRR usually greater than cap rate? ›

While cap rate offers a quick, snapshot evaluation of a property's current yield, IRR provides a deeper, more comprehensive analysis of an investment's potential over its entire holding period, considering the time value of money and future cash flow projections.

Can NPV be negative while IRR is positive? ›

A project's IRR can be positive even if its NPV is negative.” This is a true statement.

What is the conflict between IRR and NPV? ›

Ranking conflicts between NPV and IRR:

The NPV is a direct measure of the expected increase in the value of the firm. The NPV assumes reinvestment of cash flows at the required rate of return (more realistic), whereas the IRR assumes reinvestment of cash flows at the IRR rate (less realistic).

Will a project with a positive NPV always have a negative IRR? ›

A project with a positive NPV will always have a negative IRR. A project can have both a negative NPV and a positive IRR.

What if NPV is negative and IRR is positive? ›

A project's IRR can be positive even if its NPV is negative.” This is a true statement. Read your curriculum for further instruction. A projects IRR can be positive even if the NPV is negative…

Top Articles
Latest Posts
Article information

Author: Prof. An Powlowski

Last Updated:

Views: 6166

Rating: 4.3 / 5 (64 voted)

Reviews: 87% of readers found this page helpful

Author information

Name: Prof. An Powlowski

Birthday: 1992-09-29

Address: Apt. 994 8891 Orval Hill, Brittnyburgh, AZ 41023-0398

Phone: +26417467956738

Job: District Marketing Strategist

Hobby: Embroidery, Bodybuilding, Motor sports, Amateur radio, Wood carving, Whittling, Air sports

Introduction: My name is Prof. An Powlowski, I am a charming, helpful, attractive, good, graceful, thoughtful, vast person who loves writing and wants to share my knowledge and understanding with you.