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Corporate Finance: CAPM, WACC, NPV

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1. You complete an analysis of a new project, and the NPV is $1. You recommend accepting the project. Your coworker from marketing argues that the project should not be accepted because the NPV of $1 isn't enough of a profit. Assuming the discount rate is indeed conservative, how do you respond in the following scenarios? Which project(s) should be accepted or rejected?

a. There are not any other mutually exclusive projects.

b. Your coworker has an idea for another mutual exclusive project. You calculate the NPV of the new project to be $2.

c. Your coworker has an idea for another project. You calculate that the NPV of the new project is $2. The projects are not mutually exclusive.

2. What's the difference between marginal and average tax rates? How can you determine the average tax rate? What's most important for most financial decisions?

3. Describe how the dividend growth model values a stock. Why isn't it a good idea to use the dividend growth model for growth stocks?

4. You've invested in a small, but rapidly growing company that's starting to generate good cash flows and is becoming very profitable. The company is currently 100 percent equity-financed. Using the formula for WACC, explain why it might be a good idea to use at least some debt financing.

5. What happens to bond prices as interest rates increase? Why?

Part B: Answer each of the following questions in a composition of one to two paragraphs, and perform calculations as requested.

6. Recall that the security market line (SML) illustrates the relationship between systematic risk and expected returns. Perhaps the most famous and practical application of the SML is the capital asset pricing model (CAPM), expressed as follows:

E(Ri) = Rf + [E(RM) - Rf] X βi

a. Explain each of the variables.

b. Describe βi in more detail, including its effect on the expected return on the investment. What would a beta of 1.5 suggest?

7. You're a consultant hired by a small company that installs GPS units in semi trucks and school buses. The company is considering investing in a project to manufacture the units themselves (instead of purchasing the new units). It used its weighted average cost of capital (WACC) of 15 percent to determine that the project has a positive NPV of $3,000.

The CFO and the CEO don't agree. The CEO doesn't believe that the WACC is the correct number because the project is risky; it's a brand-new venture. The CFO argues that the WACC already incorporates risk, and the cost of new funds at the source (debt and equity financing) is the only thing that matters.

a. What's WACC? What's the formula? Who is correct? Why?

b. What are two different approaches to determine an appropriate cost of capital that appropriately accounts for the different risk(s)? Walk through the steps on how you would proceed. (Keep in mind there's more than one correct answer.) Then, identify an advantage and disadvantage of each of these approaches. Lastly, how would you determine if this project should be accepted or rejected? (No actual computations are needed).

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Solution Summary

Seven corporate finance issues are discussed in a structured manner in this response. Weighted Average Cost of Capital (WACC), the Capital Asset Pricing Model (CAPM), NPV, average and marginal tax rates, dividend growth model and stocks, bond prices and interest rates, and equity and debt financing. The related reference is also provided.

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1. The project with an NPV of $1 should be accepted because it indicates that the projected earnings from the project are higher than the expected costs in present dollars. It is assumed that an investment with $1 NPV will be profitable.
(a) There are no other mutually exclusive projects means that if this project is undertaken no other project can be undertaken by the firm.
(b) The coworker from marketing has an idea for another mutually exclusive project. This means even if the first project is undertaken by your firm, the second project can also be undertaken by your firm. The set of projects for your firm, in this case, is such that acceptance of a project with NPV $2 does not lead to the rejection of the projected with the NPV $1. In this case, the earnings from the project with NPV $2 will add to the earnings of the project with NPV $1. Both the projects should simultaneously be undertaken.
c. The ideas for another project with $2 which is not mutually exclusive means that this project will get rejected if the project with NPV $1 is undertaken. According to theory if there are projects which are not mutually exclusive then you should select the project with the highest Net Present Value. In this case, since the NPV of the coworker-suggested project is $2 which is higher than the NPV of $1, the project suggested by the coworker with the NPV of $2 should be selected (1).

2. The difference between average and marginal tax rates is that the average tax rate is the share of income that the person pays in tax. The marginal tax rate is the tax rate paid on the last dollar of income. A person can calculate the average tax rate by dividing the total tax obligating by the total taxable income. For example, if the total tax obligation of a person is $5,000 and the total taxable income of the individual is $50,000. The average tax rate is (5000/ 50000) * 100 = 10% For most financial decisions, the marginal tax rate is most important. The marginal tax rate gives an idea of what the tax liability will be for the individual. This is important for planning finances better. For example, the marginal rate gives the value of a specific deduction. If a person is in the tax bracket of 25% the deductions of $1 for the person are worth 25 cents.

3. The dividend growth model helps value a stock by taking an infinite series of dividends per share and ...

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