Question 4

Mastery Problem: Capital Investment Analysis

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HomeGrown Company

HomeGrown Company is a chain of grocery stores that are similar to indoor farmer's markets, providing fresh, local produce, meats, and dairy products to consumers in urban areas. HomeGrown is considering opening several stores in a new city, and has proposals from three contractors (Alpha, Beta, and Gamma companies) who would like to provide buildings for the new stores.

The amount of expected revenue from the stores will depend on the design of the contractor. For example, if HomeGrown decides on a more open floor plan, with less shelf space for products, revenue would be lower overall. However, if HomeGrown decides on a very crowded floor plan, it may lose customers who appreciate a more open feel.

As the project manager for HomeGrown, you are responsible for deciding which if any of the proposals to accept. HomeGrown's minimum acceptable rate of return is 20%. You receive the following data from the three contractors:

Proposal	Type of Floor Plan	Initial Cost if Selected	Residual Value
Alpha	Very open, like an indoor farmer's market	$1,472,000	$0.00
Beta	Standard grocery shelving and layout, minimal aisle space	5,678,900	0.00
Gamma	Mix of open areas and shelving areas	2,125,560	0.00

You have computed estimates of annual cash flows and average annual income from customers for each of the three contractors' plans. You believe that the annual cash flows will be equal for each of the 10 years for which you are preparing your capital investment analysis. Your conclusions are presented in the following table.

Proposal	Estimated Average Annual Income (after depreciation)	Estimated Average Annual Cash Flow
Alpha	$302,054	$351,145
Beta	272,019	461,411
Gamma	527,245	592,819

Method Comparison

Compare methods of capital investment analysis in the following table to begin your evaluation of the three capital investment proposals Alpha, Beta, and Gamma. You decide to compare four methods: the average rate of return, cash payback period, net present value, and internal rate of return methods.

	Average Rate of Return Method	Cash Payback Method	Net Present Value Method	Internal Rate of Return Method
Considers the time value of money	YesNo	YesNo	YesNo	YesNo
Does not consider the time value of money	YesNo	YesNo	YesNo	YesNo
Easy to compute	YesNo	YesNo	YesNo	YesNo
Not as easy to compute	YesNo	YesNo	YesNo	YesNo
Directly considers expected cash flows	YesNo	YesNo	YesNo	YesNo
Directly considers timing of expected cash flows	YesNo	YesNo	YesNo	YesNo
Assumes cash flows can be reinvested at minimum desired rate of return	YesNo	YesNo	YesNo	YesNo
Can be used to rank proposals even if project lives are not the same	YesNo	YesNo	YesNo	YesNo

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Average Rate of Return

You begin by trying to eliminate any proposals that are not yielding the company's minimum required rate of return of 20%. Complete the following table, and decide whether Alpha, Beta, and/or Gamma should be eliminated because the average rate of return of their project is less than the company's minimum required rate of return.

Complete the following table. Enter the average rates of return as percentages rounded to two decimal places.

Proposal	Estimated Average Annual Income	Average Investment	Average Rate of Return	Accept or Reject
Alpha	$fill in the blank c49edf040042fb1_1	$fill in the blank c49edf040042fb1_2	fill in the blank c49edf040042fb1_3%	AcceptReject
Beta	fill in the blank c49edf040042fb1_5	fill in the blank c49edf040042fb1_6	fill in the blank c49edf040042fb1_7	AcceptReject
Gamma	fill in the blank c49edf040042fb1_9	fill in the blank c49edf040042fb1_10	fill in the blank c49edf040042fb1_11	AcceptReject

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Cash Payback Method

Decided to confirm results from the average rate of return by using the cash payback method.

Using the following table, compute the cash payback period of each investment. If required, round the number of years in the cash payback period to a whole number.

Proposal	Initial Cost	Annual Net Cash Inflow	Cash Payback Period in Years
Alpha	$fill in the blank c6a98e089069fc6_1	$fill in the blank c6a98e089069fc6_2	fill in the blank c6a98e089069fc6_3
Beta	fill in the blank c6a98e089069fc6_4	fill in the blank c6a98e089069fc6_5	fill in the blank c6a98e089069fc6_6
Gamma	fill in the blank c6a98e089069fc6_7	fill in the blank c6a98e089069fc6_8	fill in the blank c6a98e089069fc6_9

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Net Present Value

Even though you're fairly certain that your evaluation and elimination is correct, you would like to compare the three proposals using the net present value method, and get some data about the internal rate of return of the proposals, each of which are expected to generate their respective annual net cash inflows for a period of 10 years.

Compute the net present value of each proposal. You may need the following partial table of factors for present value of an annuity of $1. Round the present value of annual net cash flows to the nearest dollar. If your answer is zero enter "0". For the net present value, if required, use the minus sign (-) to indicate a negative amount.

Present Value of an Annuity of $1 at Compound Interest (Partial Table)
Year	10%	20%
1	0.909	0.833
5	3.791	2.991
10	6.145	4.192

	Alpha	Beta	Gamma
Annual net cash flow	$fill in the blank 95909805802cfc0_1	$fill in the blank 95909805802cfc0_2	$fill in the blank 95909805802cfc0_3
Present value factor	fill in the blank 95909805802cfc0_4	fill in the blank 95909805802cfc0_5	fill in the blank 95909805802cfc0_6
Present value of annual net cash flows	$fill in the blank 95909805802cfc0_7	$fill in the blank 95909805802cfc0_8	$fill in the blank 95909805802cfc0_9
Amount to be invested	fill in the blank 95909805802cfc0_10	fill in the blank 95909805802cfc0_11	fill in the blank 95909805802cfc0_12
Net present value	$fill in the blank 95909805802cfc0_13	$fill in the blank 95909805802cfc0_14	$fill in the blank 95909805802cfc0_15

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Final Questions

After reviewing all data, answer the following questions (1)-(3).

1. What can say about each proposal?

Proposal	Internal Rate of Return
Alpha	= 20%< 20%> 20%
Beta	= 20%< 20%> 20%
Gamma	= 20%< 20%> 20%

2. What can say about these proposals?

a. HomeGrown would be breaking even (i.e., profit = 0) if Alpha's proposal is chosen.

b. Only Gamma's proposal is yielding more than HomeGrown's minimum desired rate of return.

c. Gamma's proposal is the only proposal that would be acceptable to HomeGrown.

abca and bb and c

3. Which proposal is the best choice for HomeGrown given the data collected?

AlphaBetaGamma