Compute npv of investments using cost of capital


Question 1.  The Saltinero Company is considering two investments. The firm’s cost of capital Is 12% and the risk-free rate is 7%.

A. Compute the NPV of the 2 investments using the firm’s cost of capital. Identify the preferred investment.

 

Investment A

 

 

Investment B

 

Year

Projected cash Flow

PV

 

Projected Cash Flow

PV

0

-1,000

-1,000

 

-1,000

-1,000

1

600

536

 

700

625

2

600

478

 

600

478

3

600

427

 

500

356

4

600

381

 

400

254

Rr =

12%


 

 

 

 

NPV

822

 

713


Since NVP of Project A is higher than Project B, A should be chosen.

B. Compute the NPV of the 2 investments using the certainty-equivalent approach. Identify the preferred investment.

 

Investment A

 

 

Investment B

 

Year

Certainty Equivalent Cash Flow

 

 

Certainty Equivalent Cash Flow

PV

0

-1,000

-1,000

 

-1,000

-1,000

1

400

357

 

600

536

2

400

319

 

500

399

3

400

285

 

400

285

4

400

254

 

300

191

Rf =

7%

 

 

 

 

 

NPV

215

 

410


Since NVP of Project A is lower than Project B, B should be chosen.

Question 2: Use the data for Saltinero Company (above). The beta of Investment A is 1.0, and the beta of B is 1.5. The market risk premium is 6 percent. Compute the NPV of the two investments using the risk-adjusted discount rate approach. Identify the preferred investment.

Question 3: Suppose Firm A’s levered beta is 0.75, its D/E ratio is 0.62, and its tax rate is 34 percent. Calculate its unlevered beta.

Question 4: Suppose the 10-year Treasury rate is current 3.54 percent. You analyze your firm’s financial ratios and determine that it is most similar to BB-rated firms, which currently have a spread over the 10-year Treasury of 400 basis points. Calculate your firm’s cost of debt.

Question 5: Firm B expects to pay a dividend next year of $4 per share and that its dividend will grow at a constant rate of 5 percent indefinitely into the future. Firm B’s stock price is currently $25 per share. Use the dividend discount model to calculate the cost of equity.

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Finance Basics: Compute npv of investments using cost of capital
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