A project's internal rate of return (IRR) is the discount rate ✓ ✔ that forces the PV of its inflows to equal its cost. The IRR is an estimate of the project's rate of return, and it is comparable to the on a bond. The equation for calculating the IRR is: YTM NPV = CFO + 0 2 + 320 255 CF₁ 1 + IRR 3 + 270 420 (₁ 0= 4 1 390 840 + N CF₂ (1 + IRR)* CF is the expected cash flow in Period t and cash outflows are treated as negative cash flows. There must be a change in cash flow signs to calculate the IRR. The IRR equation is simply the NPV equation solved for the particular discount rate that causes NPV to equal zero ✓ S CFt 1(1+IRR)* The IRR calculation assumes that cash flows are reinvested at the IRR . If the IRR is greater than the project's risk-adjusted cost of capital, then the project should be accepted; however, if the IRR is less than the project's risk-adjusted cost of capital, then the project should be rejected. Because of the IRR reinvestment rate assumption, when mutually exclusive projects are evaluated the IRR approach can lead to conflicting results from the NPV method. Two basic conditions can lead to conflicts between NPV and IRR: timing ✓ ✔ differences (earlier cash flows in one project vs. later cash flows in the other project) and project size (the cost of one project is larger than the other). When mutually exclusive projects are considered, then the NPV ✔✔✔ method should be used to evaluate projects. +""+ Quantitative Problem: Bellinger Industries is considering two projects for inclusion in its capital budget, and you have been asked to do the analysis. Both projects' after-tax cash flows are shown on the time line below. Depreciation, salvage values, net operating working capital requirements, and tax effects are all included in these cash flows. Both projects have 4-year lives, and they have risk characteristics similar to the firm's average project. Bellinger's WACC is 9%. CFN N (1 + IRR)* 1 + -1,000 650 Project A Project B -1,000 250 What is Project A's IRR? Do not round intermediate calculations. Round your answer to two decimal places. X% = 0 ► Show All Feedback What is Project B's IRR? Do not round intermediate calculations. Round your answer to two decimal places. X%

Principles of Accounting Volume 2
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Chapter11: Capital Budgeting Decisions
Section: Chapter Questions
Problem 16MC: When using the NPV method for a particular investment decision, if the present value of all cash...
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A project's internal rate of return (IRR) is the discount rate
YTM
on a bond. The equation for calculating the IRR is:
timing
Project A
Project B
0
1
2
CFt is the expected cash flow in Period t and cash outflows are treated as negative cash flows. There must be a change in cash flow signs to calculate the IRR. The IRR equation is simply the NPV
equation solved for the particular discount rate that causes NPV to equal zero
320
255
The IRR calculation assumes that cash flows are reinvested at the IRR
If the IRR is greater
✔than the project's risk-adjusted cost of capital, then the project should be accepted;
however, if the IRR is less than the project's risk-adjusted cost of capital, then the project should be rejected ✓✓✓. Because of the IRR reinvestment rate assumption, when
mutually exclusive
projects are evaluated the IRR approach can lead to conflicting results from the NPV method. Two basic conditions can lead to conflicts between NPV and IRR:
✔ differences (earlier cash flows in one project vs. later cash flows in the other project) and project size (the cost of one project is larger than the other). When mutually exclusive
projects are considered, then the NPV
method should be used to evaluate projects.
3
that forces the PV of its inflows to equal its cost. The IRR is an estimate of the project's rate of return, and it is comparable to the
NPV = CFO +
270
420
Quantitative Problem: Bellinger Industries is considering two projects for inclusion in its capital budget, and you have been asked to do the analysis. Both projects' after-tax cash flows are shown on
the time line below. Depreciation, salvage values, net operating working capital requirements, and tax effects are all included in these cash flows. Both projects have 4-year lives, and they have risk
characteristics similar to the firm's average project. Bellinger's WACC is 9%.
4
CF1
CF₂
+
(1 + IRR) ¹ (1 + IRR)²
N
0=
390
840
-1,000
650
-1,000
250
What is Project A's IRR? Do not round intermediate calculations. Round your answer to two decimal places.
%
CFt
t=1
= (1 + IRR)*
+ ... +
CFN
(1+IRR)"
N = 0
Show All Feedback
What is Project B's IRR? Do not round intermediate calculations. Round your answer to two decimal places.
X%
Transcribed Image Text:A project's internal rate of return (IRR) is the discount rate YTM on a bond. The equation for calculating the IRR is: timing Project A Project B 0 1 2 CFt is the expected cash flow in Period t and cash outflows are treated as negative cash flows. There must be a change in cash flow signs to calculate the IRR. The IRR equation is simply the NPV equation solved for the particular discount rate that causes NPV to equal zero 320 255 The IRR calculation assumes that cash flows are reinvested at the IRR If the IRR is greater ✔than the project's risk-adjusted cost of capital, then the project should be accepted; however, if the IRR is less than the project's risk-adjusted cost of capital, then the project should be rejected ✓✓✓. Because of the IRR reinvestment rate assumption, when mutually exclusive projects are evaluated the IRR approach can lead to conflicting results from the NPV method. Two basic conditions can lead to conflicts between NPV and IRR: ✔ differences (earlier cash flows in one project vs. later cash flows in the other project) and project size (the cost of one project is larger than the other). When mutually exclusive projects are considered, then the NPV method should be used to evaluate projects. 3 that forces the PV of its inflows to equal its cost. The IRR is an estimate of the project's rate of return, and it is comparable to the NPV = CFO + 270 420 Quantitative Problem: Bellinger Industries is considering two projects for inclusion in its capital budget, and you have been asked to do the analysis. Both projects' after-tax cash flows are shown on the time line below. Depreciation, salvage values, net operating working capital requirements, and tax effects are all included in these cash flows. Both projects have 4-year lives, and they have risk characteristics similar to the firm's average project. Bellinger's WACC is 9%. 4 CF1 CF₂ + (1 + IRR) ¹ (1 + IRR)² N 0= 390 840 -1,000 650 -1,000 250 What is Project A's IRR? Do not round intermediate calculations. Round your answer to two decimal places. % CFt t=1 = (1 + IRR)* + ... + CFN (1+IRR)" N = 0 Show All Feedback What is Project B's IRR? Do not round intermediate calculations. Round your answer to two decimal places. X%
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