J_Fitzgerald_FIN534_WEEK10 ACTIVITY
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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%
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