Question

Grey company is analyzing a project that requires an initial investment of $600,000. The project's expected cash flows are: (Year 1) $350,000, (Year 2) -$125,000, (Year 3) $500,000 and (Year 4) $400,000.

1. Grey company's WACC is 10%, and the project has the same risk as the firm's average project. Calculate this project's modified internal rate of return (MIRR): _______%.

2. If Grey company's managers select projects based on the MIRR
criterion, they should **accept or reject** this
independent project.

**3. Which of the following statements best describes the
difference between the IRR method and the MIRR method?**

The IRR method uses only cash inflows to calculate the IRR. The MIRR method uses both cash inflows and cash outflows to calculate the MIRR.

The IRR method uses the present value of the initial investment to calculate the IRR. The MIRR method uses the terminal value of the initial investment to calculate the MIRR.

The IRR method assumes that cash flows are reinvested at a rate of return equal to the IRR. The MIRR method assumes that cash flows are reinvested at a rate of return equal to the cost of capital.

Answer #1

MIRR and IRR calculation requires use of Excel or Financial Calculator.

Q1. MIRR = 19.12%

Q2. Given MIRR > WACC of project, you should select the project.

MIRR greater than WACC means the returns generated by project's cash flows are higher than the cost of capital applied for the project. Since returns are greater than cost, accept the project

Q3. Statement 3 is correct - The IRR method assumes that cash flows are reinvested at a rate of return equal to the IRR. The MIRR method assumes that cash flows are reinvested at a rate of return equal to the cost of capital.

IRR method has a disadvantage associated wit it that all cash flows generated are reinvested at same return as IRR. However, this is not the corect assdumption in real world and this disadvantage can be mitigated by using MIRR instead of IRR.

The IRR evaluation method assumes that cash flows from the
project are reinvested at the same rate equal to the IRR. However,
in reality the reinvested cash flows may not necessarily generate a
return equal to the IRR. Thus, the modified IRR approach makes a
more reasonable assumption other than the project’s IRR.
Consider the following situation:
Blue Llama Mining Company is analyzing a project that requires
an initial investment of $450,000. The project’s expected cash
flows are:
Year
Cash...

Modified internal rate of return (MIRR)
The IRR evaluation method assumes that cash flows from the
project are reinvested at the same rate equal to the IRR. However,
in reality the reinvested cash flows may not necessarily generate a
return equal to the IRR. Thus, the modified IRR approach makes a
more reasonable assumption other than the project’s IRR.
Consider the following situation:
Fuzzy Button Clothing Company is analyzing a project that
requires an initial investment of $500,000. The project’s...

The IRR evaluation method assumes that cash flows from the
project are reinvested at a rate equal to the project’s IRR.
However, in reality, the reinvested cash flows may not necessarily
generate a return equal to the IRR. Thus, using the modified IRR
approach, you can make a more reasonable estimate of a project’s
rate of return than the project’s IRR can.
Consider the following situation:
Cold Goose Metal Works Inc. is analyzing a project that requires
an initial investment...

The IRR evaluation method assumes that cash flows from the
project are reinvested at the same rate equal to the IRR. However,
in reality the reinvested cash flows may not necessarily generate a
return equal to the IRR. Thus, the modified IRR approach makes a
more reasonable assumption other than the project’s IRR.
Consider the following situation:
Green Caterpillar Garden Supplies Inc. is analyzing a project
that requires an initial investment of $400,000. The project’s
expected cash flows are:
Year...

4. Modified internal rate of return (MIRR)
The IRR evaluation method assumes that cash flows from the
project are reinvested at the same rate equal to the IRR. However,
in reality the reinvested cash flows may not necessarily generate a
return equal to the IRR. Thus, the modified IRR approach makes a
more reasonable assumption other than the project’s IRR.
Consider the following situation:
Cold Goose Metal Works Inc. is analyzing a project that requires
an initial investment of $500,000....

8. Modified internal rate of return (MIRR)
The IRR evaluation method assumes that cash flows from the
project are reinvested at the same rate equal to the IRR. However,
in reality the reinvested cash flows may not necessarily generate a
return equal to the IRR. Thus, the modified IRR approach makes a
more reasonable assumption other than the project's IRR.
Consider the following situation :
Cute Camel Woodcraft Company is analyzing a project that
requires an initial investment of $3,225,000....

Cute Camel Woodcraft Company is analyzing a project that
requires an initial investment of $2,750,000. The project’s
expected cash flows are:
Year
Cash Flow
Year 1
$350,000
Year 2
–125,000
Year 3
400,000
Year 4
500,000
Cute Camel Woodcraft Company’s WACC is 9%, and the project has
the same risk as the firm’s average project. Calculate this
project’s modified internal rate of return (MIRR):
19.63%
-16.48%
27.71%
25.40%
If Cute Camel Woodcraft Company’s managers select projects based
on the MIRR...

The IRR evaluation method assumes that cash flows from the
project are reinvested at the same rate equal to the IRR. However,
in reality the reinvested cash flows may not necessarily generate a
return equal to the IRR. Thus, the modified IRR approach makes a
more reasonable assumption other than the project’s IRR.
Consider the following situation:
Green Caterpillar Garden Supplies Inc. is analyzing a project
that requires an initial investment of $2,500,000. The project’s
expected cash flows are:
Year...

4. Modified internal rate of return (MIRR)
The IRR evaluation method assumes that cash flows from the
project are reinvested at the same rate equal to the IRR. However,
in reality the reinvested cash flows may not necessarily generate a
return equal to the IRR. Thus, the modified IRR approach makes a
more reasonable assumption other than the project’s IRR.
Consider the following situation:
Green Caterpillar Garden Supplies Inc. is analyzing a project
that requires an initial investment of $2,500,000....

4. Modified internal rate of return (MIRR)
The IRR evaluation method assumes that cash flows from the
project are reinvested at the same rate equal to the IRR. However,
in reality the reinvested cash flows may not necessarily generate a
return equal to the IRR. Thus, the modified IRR approach makes a
more reasonable assumption other than the project’s IRR.
Consider the following situation:
Green Caterpillar Garden Supplies Inc. is analyzing a project
that requires an initial investment of $3,225,000....

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