CORP FIN 51: Using the Payback Method, IRR, and NPV
WACC#1
| Exercise: | (From the Cost of Capital Workbook Pratt, Shannon 2nd edition) | |||||||
| A1 | The required return on debt is 8%, the required return on equity is 14% and the marginal tax rate is 40%. | |||||||
| If the firm is financed 70% equity and 30% debt , what is the WACC? | ||||||||
| Definitions: | L=Leverage | L=the market value proportion of debt financing | ||||||
| D= Debt | ||||||||
| T=marginal corporate tax rate of income from the project | ||||||||
| rsub e = required return for equity | ||||||||
| rsub d = required return for debt | ||||||||
| Set up the problem: | ||||||||
| D= | 0.3 | |||||||
| E= | 0.7 | |||||||
| rsub e = | 0.07 | |||||||
| rsub d= | 0.09 | |||||||
| T= | 0.4 | |||||||
| L= | 0.3 | |||||||
| Solution: | ||||||||
| L = D / (D + E) = 30% / (30% + 70%) = 0.30 | ||||||||
| WACC = (1 - L)re + L(1 - T)rd | Excel solution: | |||||||
| WACC = (1 - 0.30) x 14% + 0.30(1 - 0.40) x 8% = 11.24% | WACC= | 0.0652 | ||||||
WACC#2
| Exercise: | (From the Cost of Capital Workbook Pratt, Shannon 2nd edition) | |||||||||||||
| The following are known about public Company XYZ | ||||||||||||||
| 4,000,000 | million shares of common stock issued and outstanding | |||||||||||||
| $10 | Closing common stock price per share | |||||||||||||
| 2,000,000 | shares of preferred stock issued and outstanding | |||||||||||||
| $16 | Closing preferred stock price per share | |||||||||||||
| $10,000,000 | Face value of bonds issued and outstanding | |||||||||||||
| $80 | Closing Bond Price (80% of face value) | |||||||||||||
| 25% | Cost of common equity for XYZ | |||||||||||||
| $2.40 | Cumulative, non-participating dividend on preferred stock every year | |||||||||||||
| 10% | Cost of debt before tax effect | |||||||||||||
| 40% | Combined federal/state income tax rate | |||||||||||||
| Preferred Equity Cost? | ||||||||||||||
| 15% | Because the market price is $16.00 and its dividend per share is $2.40 the | |||||||||||||
| cost is: | $2.40/$16.00 = 0.15 or 15% | |||||||||||||
| Excel solution: | 0.15 | |||||||||||||
| The after -tax cost of debt for Company XYZ is: | ||||||||||||||
| 6% | In the return to debt component, interest is a tax-deductable expense | |||||||||||||
| to a corporate taxpayer. One way to approximate the cost of debt after | ||||||||||||||
| taxes or net of the tax effect is to multiply the cost of debt | ||||||||||||||
| before tax by (1-tax rate): 10% x (1-0.40) = 0.10 x 0.60 = 6% | ||||||||||||||
| Excel solution: | 0.06 | |||||||||||||
| Compute the market value of invested capital (MVIC) and the weights | ||||||||||||||
| for each capital structure component of XYZ. | ||||||||||||||
| Component | Amount | Price | Component Total | Weight | ||||||||||
| Common Stock | 4000000 | $10 | $40,000,000 | 50% | ||||||||||
| Preferred Stock | 2000000 | $16 | $32,000,000 | 40% | ||||||||||
| Debt | $10,000,000 | 0.8 | $8,000,000 | 10% | ||||||||||
| MVIC | $80,000,000 | 100% | ||||||||||||
| What is the WACC? | ||||||||||||||
| WACC= | =(25% x 0.50) + (15% x 0.40) + [10%(1-0.40) x 0.10] | |||||||||||||
| =12.5% + 6% + 0.6% | ||||||||||||||
| =19.10% | ||||||||||||||
| Or in tab form: | ||||||||||||||
| Put our scenario here (calculate the Common Stock cost using the DCF calculation): | ||||||||||||||
| Component | Cost | Weight | Weighted Cost | Component | Cost | Weight | Weighted Cost | |||||||
| Common Stock | 25% | 0.5 | 12.50% | Common Stock | 1% | 0.4 | 0.40% | |||||||
| Preferred Stock | 15% | 0.4 | 6.00% | Preferred Stock | 0% | 0 | 0.00% | |||||||
| Debt | 6% | 0.1 | 0.60% | Debt | 1% | 0.6 | 0.60% | |||||||
| WACC | 19.10% | WACC | 1.00% | |||||||||||
WACC#3
| Exercise: | (From the Cost of Capital Workbook Pratt, Shannon 2nd edition) | |||||||
| Given the following: | ||||||||
| Pretax cost of debt | 10% | Ignore cells in Pink | ||||||
| Cost of preferred stock | 9% | |||||||
| Cost of common equity | 20% | Use this sheet for problem 13.11 | ||||||
| Shares of common stock | 1,000,000 | |||||||
| Price per share of common stock | $7.00 | Input the data from problem 13.11 in green cells. | ||||||
| Shares of preferred stock | 500,000 | |||||||
| Price per share of preferred stock | $4.50 | Put the tax rate for problem 13.11 in the orange cells | ||||||
| Face value of debt (same as market value) | $3,000,000 | |||||||
| tax rate | 30% | Change the formula in cell C25 to match our tax rate. | ||||||
| Compute the WACC… | The answer should then be automatically calculated. | |||||||
| Component | Amount | Price | Component Total | Weight | ||||
| Common Stock | 1,000,000 | $7 | $7,000,000 | 57.1% | ||||
| Preferred Stock | 500,000 | $5 | $2,250,000 | 18.4% | ||||
| Debt | $3,000,000 | 24.5% | ||||||
| Total: | $12,250,000 | 100% | ||||||
| Component | Cost | Weight | Weighted Cost | |||||
| Common Stock | 0.20 | x | 57.1% | = | 0.1142857143 | |||
| Preferred stock | 0.09 | x | 18.4% | = | 0.0165306122 | |||
| Debt 0.10 x (1-0.30)= | 0.07 | x | 24.5% | = | 0.0171428571 | |||
| 100.0% | 0.1479591837 | = | 14.80% | |||||
| WACC = 14.80% | ||||||||
| You could also use the formula from the textbook and not use this excel spreadsheet. |
DCF
| Discounted Cash Flow Model for Cost of Capital Data | ||||||||
| Put the Guillermo Scenario Information here: | ||||||||
| Given the following assumptions on ABC Company: | ||||||||
| Dividend latest 12 months | $1.00 per year | $1 | Dividend latest 12 months | $0 | 1 | |||
| Analysts' growth Est. | 5 percent | 5% | Analysts' growth Est. | 1% | 1% | |||
| Stock Price: | $10.00 per share | $10 | Stock Price: | $1 | 1 | |||
| Estimate ABC's Cost of Equity Capital using the single-stage DCF model | Estimate Guillermo's Cost of Equity Capital | |||||||
| using the single-stage DCF model | ||||||||
| k = (NCF0(1 + g)/PV) + 0.05 | ||||||||
| k=($1.0(1.0.05))/$10 + 0.05 | ||||||||
| k = ($1.05/$10.00) + 0.05 | ||||||||
| k = 0.105 + 0.05 | ||||||||
| k = 0.155 or 15.5% | ||||||||
| Excel solution | 0.155 | or 15% | Excel solution | 1.02 |