J_Fitzgerald_FIN534_WEEK10 ACTIVITY

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Jan 9, 2024

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Jasmine Fitzgerald December 4, 2023 WEEK 10 ACTIVITY – Financial Calculations Dr. Ingrid Nelson
1. Salinas Corporation has a net income of $15 million per year on net sales of $90 million per year. It currently has no long-term debt but is considering a debt issue of $20 million. The interest rate on the debt would be 7%. Salinas currently faces an effective tax rate of 40%. What would be the annual interest tax shield to Salinas if it goes through with the debt issuance? To calculate the annual interest tax shield, you can use the formula: Interest Tax Shield=Debt×Interest Rate×Tax Rate Given that Salinas Corporation is considering a debt issue of $20 million, an interest rate of 7%, and an effective tax rate of 40%, plug these values into the formula: Interest Tax Shield=$20,000,000×0.07×0.40 Interest Tax Shield=$20,000,000×0.028 Interest Tax Shield=$560,000 So, the annual interest tax shield to Salinas would be $560,000 if it goes through with the debt issuance. 2. Carbon8 Corporation wants to raise $120 million in a seasoned equity offering, net of all fees. Carbon8 stock currently sells for $28.00 per share. The underwriters will require a fee of $1.25 per share and indicate that the issue must be underpriced by 7.5%. In addition to the underwriter's fee, the firm will incur $785,000 in legal, administrative, and other costs. How many shares must Carbon8 sell to raise the desired amount of capital? Calculate the net proceeds per share after underwriter's fee: Net Proceeds per Share=Stock Price−Underwriter’s Fee $28.00 - $1.25 = $26.75 Calculate the percentage of underpricing: Underpricing Percentage=Underpricing Amount/Stock Price Underpricing Amount = Underpricing Percentage × Stock 7.5\% \times $28.00 {Underpricing Amount} = $2.10
Calculate the gross proceeds per share (before underpricing): Gross Proceeds per Share=Stock Price + Underpricing $28.00 + $2.10 = $30.10 Calculate the number of shares needed to raise $120 million: Number of Shares=Total Desired Amount/Gross Proceeds per Share 120,000,000/$30.10 Number of Shares≈3,986,711.63 3. FM Foods is evaluating its cost of capital. Use the following information provided on December 31, 2017, to estimate FM's after-tax cost of equity capital. The after-tax cost of equity capital can be estimated using the Capital Asset Pricing Model (CAPM). The formula for CAPM is as follows: Cost of Equity= Risk- Free Rate + (Beta X Equity Risk Premium) 1. Risk-Free Rate: The yield to maturity on long-term government bonds is used as the risk-free rate. Given that the yield is 4.4%, the risk-free rate is 4.4%. 2. Equity Risk Premium: The equity risk premium is the difference between the historical excess return on common stocks and the yield to maturity on long-term government bonds. Given that the historical excess return is 6.5% and the yield on government bonds is 4.4%, the equity risk premium is 6.5%- 4.4%=2.1% 3. Beta:
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The company equity beta is given as 1.20. Now, substitute these values into the CAPM formula: {Cost of Equity} = 4.4% + (1.20 X 2.1%) {Cost of Equity} = 4.4% + 2.52% {Cost of Equity} = 6.92% However, this is the cost of equity before taxes. To find the after-tax cost of equity, we need to adjust for taxes using the formula: Substitute the values: After-Tax Cost of Equity= Cost of Equity×(1−Tax Rate)/ Stock Price/Book Value of Equity After-Tax Cost of Equity=6.92%×(1−0.35)$40.00/$5,240 million divided by $240 million After-Tax Cost of Equity=6.92%×(1-0.65)/$5,240 divided by 240×1/$40.00 After-Tax Cost of Equity≈4.488%13.0 After-Tax Cost of Equity≈0.3457%