Corporate Finance Test 3 - Ch. 9 & 10

A 5-year project requires a $20,000 investment in machinery that will be depreciated on a straight-line basis to a value of $0 over its 5-year life. The project will have net income of $6,000 per year and operating cash inflows of $7,500 per year. What is the payback period?

2.7 years

A project has an initial cost of $7,900 and cash inflows of $2,100, $3,140, $3,800, and $4,500 per year over the next four years, respectively. What is the payback period?

2.70 years

An investment project provides cash flows of $7,000 per year for 10 years. If the initial cost is $20,000, what is the payback period?

2.9 years

A project has an initial cost of $6,900. The cash inflows are $850, $2,400, $3,100, and $4,100 over the next four years, respectively. What is the payback period?

3.13 years

Which one of the following methods predicts the amount by which the value of a firm will change if a project is accepted?

Net present value

Why is payback often used as the sole method of analyzing a proposed small project?

The benefits of payback analysis usually outweigh the costs of the analysis.

Net present value:

is the best method of analyzing mutually exclusive projects.

You estimate that a project will cost $33,700 and will provide cash inflows of $14,800 in Year 1 and $24,600 in Year 3. Based on the profitability index rule, should the project be accepted if the discount rate is 14.2 percent? Why or why not?

No; The PI is .87.

Project A has a required return on 9.2 percent and cash flows of −$87,000, $32,600, $35,900, and $43,400 for Years 0 to 3, respectively. Project B has a required return of 12.7 percent and cash flows of −$85,000, $14,700, $21,200, and $89,800 for Years 0 to 3, respectively. Which project(s) should you accept based on net present value if the projects are mutually exclusive?

Reject Project A and accept Project B

A project has a discount rate of 15.5 percent, an initial cost of $109,200, an inflow of $56,400 in Year 1, and an inflow of $75,900 in Year 2. Your boss requires that every project return a minimum of $1.06 for every $1 invested. Based on this information, what is your recommendation on this project?

Reject the project because the PI is .97.

If a firm accepts Project X it will not be feasible to also accept Project Z because both projects would require the simultaneous and exclusive use of the same piece of machinery. These projects are considered to be:

mutually exclusive.

The length of time a firm must wait to recoup the money it has invested in a project is called the:

payback period.

A project has an initial cost of $52,700 and a market value of $61,800. What is the difference between these two values called?

Net present value

Which one of the following is the best example of two mutually exclusive projects?

Waiting until a machine finishes molding Product X before being able to mold Product Z

A project will produce cash inflows of $5,400 per year for 3 years with a final cash inflow of $2,400 in Year 4. The project's initial cost is $13,400. What is the net present value if the required rate of return is 14.2 percent?

$505.92

A project has cash flows of −$152,000, $60,800, $62,300, and $75,000 for Years 0 to 3, respectively. The required rate of return is 13 percent. What is the profitability index? Should you accept or reject the project based on this index value?

1.02; accept

It will cost $15,000 to acquire a used food truck that is expected to produce cash inflows of $8,500 per year for five years. After the five years, the truck is expected to be worthless. What is the payback period?

1.8 years

A project has cash flows of -$343,200, $56,700, $138,500, and $245,100 for Years 0 to 3, respectively. The required rate of return is 10.5 percent. Based on the internal rate of return of _____ percent for this project, you should _____ the project.

10.93; accept

A project has cash flows of −$35,000, $0, $10,000, and $42,000 for Years 0 to 3, respectively. The required rate of return is 15 percent. Based on the internal rate of return of _____ percent, you should _____ the project.

15.21; accept

A project has an initial cash outflow of $42,600 and produces cash inflows of $17,680, $19,920, and $15,670 for Years 1 through 3, respectively. What is the NPV at a discount rate of 12 percent?

$219.41

Assume an investment has cash flows of −$105,000, $140,000, $200,000, and $485,000 for Years 0 to 3, respectively. What is the NPV if the required return is 13.5 percent? Should the project be accepted or rejected?

$505,307; accept

The relevant discount rate is 14 percent for a project with cash flows of −$9,200, $4,600, $3,300, and $3,800 for Years 0 to 3, respectively. What is the profitability index?

.99

Assume a project has cash flows of −$54,300, $18,200, $37,300, and $14,300 for Years 0 to 3, respectively. What is the profitability index given a required return of 12.6 percent?

1.02

The Whey Station is considering a project with an initial cost of $146,500 and cash inflows for Years 1 to 3 of $56,700, $68,500, and $71,200, respectively. What is the IRR?

15.56%

A firm evaluates all of its projects by applying the IRR rule. The current proposed project has cash flows of −$37,048, $16,850, $15,700, and $19,300 for Years 0 to 3, respectively. The required return is 18 percent. What is the project IRR? Should the project be accepted or rejected?

18.42%; accept

A project has cash flows of -$108,000, $52,800, $53,200, and $83,100 for Years 0 to 3, respectively. The required payback period is two years. Based on the payback period of _____ years for this project, you should _____ the project.

2.02; reject

Projects A and B are mutually exclusive and have an initial cost of $82,000 each. Project A provides cash inflows of $34,000 per year for three years while Project B produces a cash inflow of $115,000 in Year 3. Which project(s) should be accepted if the discount rate is 11.7 percent? What if the discount rate is 13.5 percent?

Accept B at 11.7 percent and neither at 13.5 percent

You are considering two mutually exclusive projects. Project A has cash flows of −$72,000, $21,400, $22,900, and $56,300 for Years 0 to 3, respectively. Project B has cash flows of −$81,000, $20,100, $22,200, and $74,800 for Years 0 to 3, respectively. Both projects have a required 2.5-year payback period. Should you accept or reject these projects based on payback analysis?

Accept Project A and reject Project B

Project A costs $47,800 with cash inflows of $34,200 in Year 1 and $28,700 in Year 2. Project B costs $63,200 with cash inflows of $21,900 in Year 1 and $59,200 in Year 2. These projects are independent and have an assigned discount rate of 15 percent. Based on the profitability index, what is your recommendation concerning these projects?

Accept both projects.

A proposed project has an initial cost of $74,200 and cash inflows of $23,900, $34,700, and $40,200 for Years 1 through 3, respectively. The required rate of return is 15.2 percent. Based on IRR, should this project be accepted? Why or why not?

No; The IRR is less than the required return.

Two mutually exclusive projects have an initial cost of $47,500 each. Project A produces cash inflows of $25,300, $37,100, and $22,000 for Years 1 through 3, respectively. Project B produces cash inflows of $43,600, $19,800 and $10,400 for Years 1 through 3, respectively. The required rate of return is 14.7 percent for Project A and 14.9 percent for Project B. Which project(s) should be accepted and why?

Project A, because it has the larger NPV.

Bui Bakery has a required payback period of two years for all of its projects. Currently, the firm is analyzing two independent projects. Project X has an expected payback period of 1.4 years and a net present value of $6,100. Project Z has an expected payback period of 2.6 years with a net present value of $18,600. Which project(s) should be accepted based on the payback decision rule?

Project X only

Alicia is considering adding toys to her gift shop. She estimates the cost of new inventory will be $9,500 and remodeling expenses will be $850. Toy sales are expected to produce net cash inflows of $1,300, $4,900, $4,400, and $4,100 over the next four years, respectively. Should Alicia add toys to her store if she assigns a 3-year payback period to this project? Why or why not?

Yes; The payback period is 2.94 years.

You are considering two independent projects. Project A has an initial cost of $125,000 and cash inflows of $46,000, $79,000, and $51,000 for Years 1 to 3, respectively. Project B costs $135,000 with expected cash inflows for Years 1 to 3 of $50,000, $30,000, and $100,000, respectively. The required return for both projects is 16 percent. Based on IRR, you should:

accept Project A and reject Project B.

If a project has a net present value equal to zero, then:

the project earns a return exactly equal to the discount rate.

A project has a net present value of zero. Given this information:

the project's cash inflows equal its cash outflows in current dollar terms.

A project has a required return of 12.6 percent, an initial cash outflow of $42,100, and cash inflows of $16,500 in Year 1, $11,700 in Year 2, and $10,400 in Year 4. What is the net present value?

−$11,748.69