Question

In: Accounting

This says to use a spread sheet. I need calculations without a spread sheet. Thank you!...

This says to use a spread sheet. I need calculations without a spread sheet. Thank you!

Calculating EVA

Brewster Company manufactures elderberry wine. Last year, Brewster earned operating income of $195,000 after income taxes. Capital employed equaled $2.6 million. Brewster is 40 percent equity and 60 percent 10-year bonds paying 7 percent interest. Brewster’s marginal tax rate is 40 percent. The company is considered a fairly risky investment and probably commands a 12-point premium above the 4 percent rate on long-term Treasury bonds.

Jonathan Brewster’s aunts, Abby and Martha, have just retired, and Brewster is the new CEO of Brewster Company. He would like to improve EVA for the company. Compute EVA under each of the following independent scenarios that Brewster is considering.

Required:

Use a spreadsheet to perform your calculations and round all interim and percentage figures to four decimal places. If the EVA is negative, enter your answer as a negative amount.

1. No changes are made; calculate EVA using the original data.

$ fill in the blank 1

2. Sugar will be used to replace another natural ingredient (atomic number 33) in the elderberry wine. This should not affect costs but will begin to affect the market assessment of Brewster Company, bringing the premium above long-term Treasury bills to 10 percent the first year and 7 percent the second year. Calculate revised EVA for both years.

EVA
Year 1 $ fill in the blank 2
Year 2 $ fill in the blank 3

3. Brewster is considering expanding but needs additional capital. The company could borrow money, but it is considering selling more common stock, which would increase equity to 80 percent of total financing. Total capital employed would be $3,300,000. The new after-tax operating income would be $395,000. Using the original data, calculate EVA. Then, recalculate EVA assuming the materials substitution described in Requirement 2. New after-tax income will be $395,000, and in Year 1, the premium will be 10 percent above the long-term Treasury rate. In Year 2, it will be 7 percent above the long-term Treasury rate. (Hint: You will calculate three EVAs for this requirement.)

EVA
Year 1 $ fill in the blank 4
Year 1 (10% premium) $ fill in the blank 5
Year 2 (7% premium) $ fill in the blank 6

Solutions

Expert Solution

Question-1)

EVA of an entity is

Net operating profit after tax (-) Weighted average cost of capital

NOPAT of an entity = 1,95,000

Weighted average cost of capital

Debt to Equity is 60:40

Cost of Equity = 12 points above premium above 4 percent of long term treasury bonds = 16%

Cost of debt net of tax = 7% X (1-tax rate) = 7% X (1-0.4) = 4.2%

Considering their weights = (16% X 40%) +   (4.2%X60%)

                                                   = 8.92%

Capital = 2600000 X 8.92% = 2,31,920

Therefore EVA = 1,95,000 (-) 2,31,920 = -36920

Question-2)   

NOPAT= no effect on revision = 195000

Cost of equity for 1st year = 10%+4% = 14%

Cost of equity for 2nd year = 7% +4% =11%

Cost of debt after tax = no change = 4.2%

Revised weighted average cost of capital =

For first year = (14% X 40%) + (4.2% X 60%) = 8.12% = 26,00,000*8.12% =2,11,120

For Second year = (11% X 40%) + (4.2% X 60%) = 6.92%= 26.00.000 * 6.92% = 1,79,920

For first year EVA = 195000 – 211120 = -16120

For second year EVA = 195000 – 179920 = 15080

Question -3)

New Operating profit = 3,95,000

New debt to equity = 20:80

New Capital = 33,00,000

a. Considering Question -1)

Cost of equity = 16%

Cost of debt after tax = 4.2%

Weighted cost of capital = (16% X 80%) + (4.2% X 20%) = 13.64% = 33,00,000 X 13.64% = 4,50,120

EVA = 3,95,000 – 450120 = -55120

b. Considering Question -2) material substitution:

Year – 1)

Cost of equity = 14%

Cost of debt = 4.2%

Weighted average cost of capital = (14% X 80%) + (4.2% X 20%) = 12.04% = 33,00,000 X 12.04% = 397320

EVA = 395000 – 397320 = -2320

Year-2)

Cost of equity = 11%

Cost of debt = 4.2%

Weighted average cost of capital = (11% X 80%) + (4.2% X 20%) = 9.64% = 33,00,000 X 9.64% = 3,18,120

EVA = 395000 -318120 = 76880


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