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1. Companies U and L are identical in every respect except that U is unlevered w

ID: 2711019 • Letter: 1

Question

1. Companies U and L are identical in every respect except that U is unlevered while L has $10 million of 4.2% bonds outstanding. Assume that (1) all of the MM assumptions are met, (2) there are no corporate or personal taxes, (3) EBIT is $1.7 million, and (4) the cost of equity to Company U is 9.8%.

What is the required percentage rate of return of equity for Company L?

2. Companies U and L are identical in every respect except that U is unlevered while L has $10 million of 4.4% bonds outstanding. Assume that (1) all of the MM assumptions are met, (2) both companies are subject to a 33% federal-plus-state corporate tax, (3) EBIT is $2.1 million, and (4) the cost of equity to Company U is 10%. What is the value, in millions, of Company L under the MM model?

3.

Higgs Bassoon Corp. borrowed heavily and is reducing its debt over the next 3 years to a sustainable level. Higgs Bassoon has forecast free cash flows and the tax savings due to the deductibility of interest expense for the next three years, as shown below:

The FCF and tax savings are expected to grow at a constant rate of 5.2% after Year 3. The unlevered cost of equity is 11% and its tax rate is 34%. What is the horizon value of unlevered firm?

4. Fredrickson Corp. has $10 million of 5% bonds outstanding. Assume that all of the MM assumption are met, and the firm is subject to a 35% federal-plus-state corporate tax rate. The firm has an EBIT of $1 millions, and the unlevered cost of equity is 8.6%. What is the implied value of Fredrickson's equity, in millions?

  

1 2 3 Free cash flow $1,000 $1,200 $1,350 Tax savings $320 $240 $160

Explanation / Answer

ANSWER 1

RATE OF RETURN OF EQUITY OF LEVERD = RATE OF EQUITY OF UNLEVERED(RE) + ( RE (UNLEVERED - RATE OF DEBT)=

=> 9.8% + ( 9.8% - 4.2%)

RATE OF RETURN OF EQUITY OF LEVERD = 15.4%

ANSWER 2

EBIT = 2.1 MILLION

LESS INTEREST = 0.44 MILLION

PROFIT AFTER INTEREST => 1.66 MILLION

COST OF EQUITY 10%

VALUE OF EQUITY => 1.66/10% => 16.6

VALUE OF FIRM => 16.6 + 10 => $ 26.6 MILLION

ANSWER 3

HORIZON VALUE =$23483

ANSWER 4

VALUE OF UNLEVERED FIRM = $ 1 MILLION / 8.6% => 11.63

VALUE OF LEVERED FIRM

EBIT = 1

LESS INTEREST = 0.5

PROFIT => 0.5

VALUE OF EQUITY OF LEVERED FRIM => 0.5 / 8.6% => 5.81

TOTAL VALUE OF FREDRICKSONS'S EQUITY IS => $11.63 + $5.81 => $17.44 MILLION

YEAR FREE CASH FLOW TAXSAVING TOTAL OF BOTH DISCOUNTING FACTOR HORIZON VALUE 1 1000 320 1320 0.901 1189.32 2 1200 240 1440 0.812 1169.28 3 1350 160 1510 0.731 1103.81 3 CONSTANT GROWTH (1350+5.2%)/(11-5.2)%= 24486 160+5.2%)/(11-5.2)%= 2902 27388 0.731 20020.628 TOTAL 23483