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3CH6 Comparing Investment Criteria [LO1, 2, 3, 5, 7] Consider the following two

ID: 2744521 • Letter: 3

Question

3CH6

Comparing Investment Criteria [LO1, 2, 3, 5, 7] Consider the following two mutually exclusive projects:

Year

Cash Flow (A)

Cash Flow (B)

0

$455,000

$65,000

1

      58,000

    31,000

2

      85,000

    28,000

3

      85,000

    25,000

4

    572,000

    19,000

Whichever project you choose, if any, you require a return of 11 percent on your investment.

Part 1. If you apply the payback criterion, which investment will you choose? Why?

Part 2. If you apply the discounted payback criterion, which investment will you choose? Why?

Part 3. If you apply the NPV criterion, which investment will you choose? Why?

Year

Cash Flow (A)

Cash Flow (B)

0

$455,000

$65,000

1

      58,000

    31,000

2

      85,000

    28,000

3

      85,000

    25,000

4

    572,000

    19,000

Explanation / Answer

Part1: Payback Period:

Payback period Project A = 3 years + [(455000-228000) / (800000-228000)]

= 3.40 years

Payback Period Project B = 2 years + [(65000-59000) / (84000-59000)]

= 2.24 years

Applying the payback criterion, Project B will be chosen because the payback period is short.

Part 2: Discounted Payback Period:

Discounted Cash flows Project A = 3 years + [(455000-183413) / (560361-183413)]

= 3.72 years

Discounted Cash flows Project B = 2 years + [(65000-50667) / (68942-50667)]

= 2.78 years

Applying the discounted payback period criterion, Project B will chosen, since the period of recovering investment is lower.

Part 3. NPV = Present value of Cash inflows - Present Value of Cash outflows

Project A = 560361 - 455000 = $105361

Project B = 81463 - 65000 = $16463

Applying NPV criterion, Project A will be chosen, since it has the highest positive NPV.

Year Cash flows (A) Cumulative Cash Flows (A) Cash flows (B) Cumulative Cash flows (B) 1 58000 58000 31000 31000 2 85000 143000 28000 59000 3 85000 228000 25000 84000 4 572000 800000 19000 103000
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