1. Hello
I need the below assignment by 28 Feb 16 by 4 Pm eastern time
Your company is thinking about acquiring another corporation.
You have two choices
—
the cost of each choice is $250,000. You cannot spend more
than that, so acquiring both corporations is not an option. The
following are your critical data:
Corporation A
Revenues = $100,000 in year one, increasing by 10% each year
Expenses = $20,000 in year one, increasing by 15% each year
Depreciation expense = $5,000 each year
Tax rate = 25%
Discount rate = 10%
Corporation B
Revenues = $150,000 in year one, increasing by 8% each year
Expenses = $60,000 in year one, increasing by 10% each year
Depreciation expense = $10,000 each year
Tax rate = 25%
Discount rate = 11%
Compute and analyze items (a) through (d) using a Microsoft
®
Excel
®
spreadsheet. Make sure all calculations can be seen in the
background of the applicable spreadsheet cells. In other words,
leave an audit trail so others can see how you arrived at your
calculations and analysis. Items (a) through (d) should be
submitted in Microsoft

2. ®
Excel
®
; indicate your recommendation (e) in the Microsoft
®
Excel
®
spreadsheet;
the paper stated in item (f) should be submitted consistent with
APA guidelines.
a.
A 5-year projected income statement
b.
A 5-year projected cash flow
c.
Net present value (NPV)
d.
Internal rate of return (IRR)
e.
Based on items (a) through (d), which company would you
recommend acquiring?
f.
Write a paper of no more 1,050 words that defines, analyzes,
and interprets the answers to items (c) and (d). Present the
rationale behind each item and why it supports your decision
stated in item (e). Also, attempt to describe the relationship
between NPV and IRR. (
Hint.

3. The key factor is the discount rate used.)
In addition to the paper, a Micosoft
®
Excel
®
spreadsheet showing your projections and calculations must be
shown and attached.
Capital Budgeting – Clarification Example
When people hear the term
capital budgeting
, they usually focus on the budgeting part of the term rather
than the capital portion. Actually, capital is the more important
aspect because it shows you that you are evaluating a larger
expenditure that will be capitalized—in other words,
depreciated over time.
Remember, a capital expenditure can be many things—a large
copying machine, an automated assembly line, a building, or the
ultimate in capital budgeting—the acquisition of another entity.
What is important about capital budgeting is it allows you to
analyze one or more projects so you can intelligently and
strategically decide on which project you wish to acquire or
which piece of equipment you should procure.
There are at least six capital budgeting tools you can use in
analyzing a capital expenditure: net present value (NPV),
internal rate of return (IRR), profitability index (PI), payback
period (PB), discounted payback period (DPB), and modified
internal rate of return (MIRR), although the textbook mainly
focuses on net NPV and IRR. In a prior finance course,
you might have learned how to calculate four of the six tools—

4. NPV, IRR, PI, and PB. If not, then this will be new material for
you.
Crunching the numbers might seem by some to be the more
crucial part—and it is indeed important.
However, interpreting and analyzing the answers are just as
important. See if you can do this with the six capital budgeting
tool answers that you will be computing in the following
example.
Example
Suppose you are thinking of acquiring either the ABC or the
XYZ Company. Both have a purchase price of $500K so you
cannot readily see which choice would be in your best interest.
You also have a capital restraint of approximately $500K so you
cannot purchase both entities. Thus, you provide your
accountants and analysts with the historical financial details of
both companies. They spend a few days forecasting 5 years of
detailed financial statements based on how your company would
operate these two corporations. The following are the results
that ended with the projected 5-year net cash flow figures. Year
0 shows the initial cost outlay (or purchase price), and years 1
through 5 show the projected cash inflow if you make the
purchase.
0
1
2
3
4
5

5. ABC
-500
100
200
575
325
100
XYZ
-500
275
250
75
250
450
It is an interesting coincidence to note that if you total both
rows for each company, they are the same.
However, you know that this does not matter in that comparing
totals ignores the time value of money and is not a valid capital
budgeting tool in making strategic decisions for your firm.
Let’s first look at two of the more popular capital budgeting
tools, NPV and IRR. As you are doing, you always look at the

6. projected cash flows for each project—not net income. To
compare the projects on equal terms, you bring back the future
cash flows to the present, which is the present value concept.
Then, you subtract the cost of that project from its present
value—thus, NPV.
Before you start this process, you need a discount rate—the
interest rate used in the NPV formula. Sometimes it is called the
hurdle rate or required rate of return. It is usually the cost of
capital—sometimes with a risk factor added, if it is a risky
project. The cost of capital is used because you want this
project to at least make more than what capital is now costing
you to run your business—otherwise, the project will lose the
firm cash. In this example, you are using a discount rate of
10%. Thus, if your NPV is positive—it is a good project. If it is
negative, it is considered a poor project. In comparing projects,
you want to pick the one with the highest NPV.
Net Present Value
ABC
$472.28
XYZ
$463.13
As you can see (you may check these figures with your
spreadsheet program or financial calculator), ABC has a slightly
higher NPV. Therefore, ABC would be your choice based on

7. this one capital budgeting tool. You should note that NPV is
considered the most superior capital budgeting tool.
Now, how would you interpret or define your NPV answer? A
textbook might define NPV as the present value of future cash
returns, discounted at the appropriate interest rate, less the cost
of the investment.
If you explain it that way to most people, they might give you a
blank stare. Yes, you should pick ABC because its NPV is
higher than XYZ.
However, here is the key interpretation that all will
understand—ABC will be giving you, over 5 years, a current
value cash return of approximately $472.3K above your 10%
required rate of return. In other words, this project will not only
meet your 10% required return, but it will give you an
additional $472.3K.
The next question is, what total percentage return does the
dollar amount represent? This is exactly what IRR tells you.
The IRR calculations are as follows:
Internal Rate of Return
ABC
38.58%
XYZ
40.01%
Therefore, your total current valued percentage return on your
investment for ABC = 38.58%. IRR is a percentage that will go
with NPV most of the time.
NPV told you to choose ABC Company. Your IRR computations

8. are giving you conflicting directions telling you to choose XYZ
Company. Consider that IRR can have two problem areas—more
than one negative in the cash flow, or if there are large
fluctuations in cash flows from year to year. Either of these two
problems can result in non-accurate IRR answers. If you
noticed, there were some large fluctuations in your cash flow. If
you get an IRR decision that conflicts with NPV, you always
choose the higher NPV.
Here is an exercise to give you an idea of how NPV is related to
IRR. Suppose you are using a discount rate of 10%. If you have
an NPV of exactly $0, your IRR will be 10%. If your NPV is
above $0, your IRR will be above 10%. If your NPV is below
$0, your IRR will be below 10%. You can prove this by taking
ABC’s IRR of 35.58% and using it as the discount rate in the
NPV formula. Recalculate NPV using the 35.58% discount rate
and you will get an NPV that is very close to $0.
You know that IRR can have its problems—this is why they
came up with MIRR. MIRR solves the problems that may occur
in IRR computations. MIRR can be calculated automatically
with some financial calculators and it is also an
fx
function in Microsoft
®
Excel
®
. Here are the results of your example:
Modified Internal Rate of Return
ABC
25.65%

9. XYZ
25.41%
As you can see, MIRR’s capital budgeting decision matches that
of the calculated NPV. Company ABC is slightly higher than
company XYZ. You can also calculate MIRR using just the
basic time value of money functions of a financial calculator.
There is an example of this at the end of this document.
PI is another tool. It goes together with NPV and never conflicts
with NPV’s findings. The easiest way to calculate PI is as
follows:
PI = PV/ICO, that is, present value divided by the initial cost
outlay. Most textbooks use this formula; however, some
textbooks use the formula PI = NPV/ICO, PI = net present value
divided by the initial cost outlay.
The simplest way to get PV is after you have calculated NPV.
PV = NPV + ICO. In your example using ABC company, it
would be PV = 472.28 + 500 = 972.28. Now you can calculate
PI = 972.28 / 500 = 1.94.
Profitabilty Index
ABC
1.94
XYZ
1.93

10. Remember, PI is just an index number—anything 1.0 and higher
is affirmation for the project you are evaluating. So the next
question: If PI goes hand in hand with NPV, then why do you
even need to calculate PI?
PI is a type of ratio that gives the highest NPV per dollar of
investment. PI comes more into play when you are comparing
many projects. One textbook describes it as:
The PI is sometimes used to rank projects even when there is no
soft or hard capital rationing. In this case the unwary user may
be led to favor small projects over larger projects with higher
NPV’s. The PI was designed to select the projects with the most
bang per buck—the greatest NPV per dollar spent. That is the
right objective when bucks are limited. When they are not, a
bigger bang is always better than a smaller one, even when more
bucks are spent (Brealey, 1988, p. 201).
PB method is the most inferior of all basic capital budgeting
tools because it does not consider the time value of money—for
example, if a project will cost $500 to start and is projecting
$100 per year cash inflow for the first 10 years, then the
payback period is 5.0 years—the amount of time it takes the
cash inflow to pay for the original cash outflow or cost of the
project. Of course, this ignores the time value of money treating
a dollar in any future year the same in value as a dollar today.
The decision-making criteria for the payback method is going
with the project that pays off the initial cost outlay in less time.
As you can see by the following calculations, you have another
conflict. Your NPV indicated that company ABC is the correct
choice; however, PB states that company XYZ is the choice.
You can see that not only does the PB method ignore the time
value of money, but it also does not consider all years of the
cash flow projection. For example, XYZ showed that its
payback was in less than 2 years ignoring the last 3 years as
being a factor.

11. Note.
There will be an example of an easy way to calculate PB at the
end of this document.
Payback Period
ABC
2.35
yrs
XYZ
1.90
yrs
The last tool to introduce is discounted payback period (DPB).
While this method also ignores some of the future cash flow
projections much like the PB method, it does consider the time
value of money. The DPB is computed in a similar fashion as
the PB method—the only difference is that the DPB method
uses the discounted cash flow. As you can see in the following,
factoring in the time value of money makes the decision in line
with the NPV’s outcome—ABC is the choice!
Discount Payback Period
ABC
2.56
yrs
XYZ
2.77

12. yrs
The following is a quick glance summary of the capital
budgeting tool answers—note that the preferred choice based on
each capital budgeting tool’s criteria is highlighted:
ABC
XYZ
NPV
$472.28
$463.13
IRR
38.58%
40.01%
MIRR
2
5.65%
25.41%
PI
1.94
1.93
PB
2.35
yrs
1.9
DPB
2.56
yrs
2.77

13. Remember that if there is any question as to the validity of the
calculations, NPV should always be used as the final decision
factor.
Example
MIRR Calculation Example and Hints
Discount rate = 10%
Projected
Cash flow years 0 1 2 3 4 5
Project A (500) 45 55 65 175 185
First, you must take all of years (except year 0) out to year 5
using the future value function of your financial calculator.
MIRR takes everything out to the future first before discounting
it back tothe present. Take year 1 for example—to get this
year’s value out to year 5, you must use the future value (FV)
function:
PV = 45
i = 10
n = 4 because it is 4 years to get to year 5
Solving for FV = 65.68
FV - YR5 = 185.00

14. FV - YR4 = 192.50
FV - YR3 = 78.65
FV - YR2 = 73.21
FV - YR1 = 65.88
Terminal value (total of years 1 through 5) = 595.24
Once this process has been done for each year, you add them to
get what is called the terminal value. Now, you have all of the
numbers to calculate MIRR:
FV = 595.24
PV = (500.00)
n = 5
Solving for i = 3.55%
MIRR is 3.55%, which will almost always be more
conservative than IRR. Of course, because MIRR is below your
required rate of return, it is a thumbs-down on this project.
Make sure that you calculate the above answer to see if you can
come up with the same solution.
Remember, always make sure your PV is entered as a negative,
or you will get an error when solving for
i
.

15. Payback Calculation Example and Hints
Suppose you had 5 years of cash flow as follows (year 0 being
the initial cost outlay):
YR0 = -500 YR1 = 120 YR2 = 100 YR3 = 110 YR4 = 100
YR5 = 280
You would always start with the initial cost outlay and then
subtract every year until you are at the last year that would put
your total below zero:
500 - 120 - 100 - 110 - 100 = 70
The reason to not subtract year 5 is because that would put you
below 0.
Now you know that the payback is 4 full years plus a
fraction. How do you find the fractional part of the 5th
year? You take the leftover 70 and divide by the 280 in year 5—
this gives you a fraction of .25.
Therefore, the payback = 4.25 years.
Note that discounted payback is calculated in the same manner,
but the discounted cash flow would be used.
Reference
Brealey, R. A.,Myers, S. C., & Marcus,
(2007).
Fundamentals of corporate finance
(5
th
edition).New York, NY:McGraw-Hill International.