In: Finance
Construct an Excel Spreadsheet running debt to equity levels
from 0% to 70% in increments of 1% and determine the optimal
capital structure for the firm given the information in the problem
below. Submit in readable formatted Excel that shows formulas or
allows me to click on cells to see formulas.
Ruby Slippers Co. sells shoes in the Land of Oz. The demand for
shoes is always stable; each of the 555 citizens buys 1 pair of
shoes each year, for $99. The company incurs production costs of
$77 / pair of shoes, and pays a $9999 yearly salary to its CEO,
Dorothy. There is no inflation and the demand for the shoes is
expected to continue forever, with the same cost structure. The
company is financed by all equity, the risk free rate in the Land
of Oz is 4%, the market return is 10%, and the firm's equity beta
is 1.
The Wizard of Oz has decided to introduce a 35% corporate tax rate
starting tomorrow. Dorothy would like your help in determining the
optimal amount of debt financing under the new corporate tax law.
She obtained the following information about the cost of debt from
the Yellow Brick Bank:
Percent of debt financing
Interest rate
0-19%
6%
20-29%
6.1%
30-34%
6.2%
35-39%
6.3%
40-44%
6.8%
45-49%
7.2%
50-54%
7.5%
55-59%
8%
60-64%
8.5%
65-69%
9%
70-75%
9.5%
Prepare a table that analyses the effect of leverage on the cost of
capital and firm value for various debt financing percentages (e.g.
by 1% increments). Ruby Slippers plans on rearranging its capital
structure by borrowing debt and repurchasing equity, e.g. not by
adding additional financing on top of the equity it has now. First,
calculate the change in beta for the corporation's equity given by
BetaL = BetaU X [1 + (1-T) X (D/S)]. Where T is the tax rate, D is
the percentage of Debt, and S is the percentage of equity. Then
proceed to calculate the required return on equity, the firm's
WACC, the firm's value, and the dollar amount of debt and equity in
the firm. Also calculate the effect of leverage on EBT and Net
Income. Compute the present value of interest tax shield and the
financial distress costs (implied financial distress costs=VL - VU
- PV(Tax shield)). Plot the firm value and the cost of capital (for
debt, equity, and the firm) in two charts as a function of
leverage.
What is the optimum leverage for Ruby Slippers?
Equity (%) |
Debt (%) |
Risk free rate |
Market return |
Beta |
Cost of equity |
Cost of debt |
Tax rate |
Effective cost off debt |
Total cost of financing |
E |
D |
Rf |
Mr |
B |
RE= Rf + (Mr-Rf)*B |
Bank rate |
Tax |
RD=Bank rate*(1-Tax) |
E*RE + D*RD |
100% |
0% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
10.00% |
99% |
1% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.94% |
98% |
2% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.88% |
97% |
3% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.82% |
96% |
4% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.76% |
95% |
5% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.70% |
94% |
6% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.63% |
93% |
7% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.57% |
92% |
8% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.51% |
91% |
9% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.45% |
90% |
10% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.39% |
89% |
11% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.33% |
88% |
12% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.27% |
87% |
13% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.21% |
86% |
14% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.15% |
85% |
15% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.09% |
84% |
16% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
9.02% |
83% |
17% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
8.96% |
82% |
18% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
8.90% |
81% |
19% |
4% |
10% |
1.00 |
10.0% |
6% |
35% |
3.900% |
8.84% |
80% |
20% |
4% |
10% |
1.00 |
10.0% |
6.10% |
35% |
3.965% |
8.79% |
79% |
21% |
4% |
10% |
1.00 |
10.0% |
6.10% |
35% |
3.965% |
8.73% |
78% |
22% |
4% |
10% |
1.00 |
10.0% |
6.10% |
35% |
3.965% |
8.67% |
77% |
23% |
4% |
10% |
1.00 |
10.0% |
6.10% |
35% |
3.965% |
8.61% |
76% |
24% |
4% |
10% |
1.00 |
10.0% |
6.10% |
35% |
3.965% |
8.55% |
75% |
25% |
4% |
10% |
1.00 |
10.0% |
6.10% |
35% |
3.965% |
8.49% |
74% |
26% |
4% |
10% |
1.00 |
10.0% |
6.10% |
35% |
3.965% |
8.43% |
73% |
27% |
4% |
10% |
1.00 |
10.0% |
6.10% |
35% |
3.965% |
8.37% |
72% |
28% |
4% |
10% |
1.00 |
10.0% |
6.10% |
35% |
3.965% |
8.31% |
71% |
29% |
4% |
10% |
1.00 |
10.0% |
6.10% |
35% |
3.965% |
8.25% |
70% |
30% |
4% |
10% |
1.00 |
10.0% |
6.20% |
35% |
4.030% |
8.21% |
69% |
31% |
4% |
10% |
1.00 |
10.0% |
6.20% |
35% |
4.030% |
8.15% |
68% |
32% |
4% |
10% |
1.00 |
10.0% |
6.20% |
35% |
4.030% |
8.09% |
67% |
33% |
4% |
10% |
1.00 |
10.0% |
6.20% |
35% |
4.030% |
8.03% |
66% |
34% |
4% |
10% |
1.00 |
10.0% |
6.20% |
35% |
4.030% |
7.97% |
65% |
35% |
4% |
10% |
1.00 |
10.0% |
6.30% |
35% |
4.095% |
7.93% |
64% |
36% |
4% |
10% |
1.00 |
10.0% |
6.30% |
35% |
4.095% |
7.87% |
63% |
37% |
4% |
10% |
1.00 |
10.0% |
6.30% |
35% |
4.095% |
7.82% |
62% |
38% |
4% |
10% |
1.00 |
10.0% |
6.30% |
35% |
4.095% |
7.76% |
61% |
39% |
4% |
10% |
1.00 |
10.0% |
6.30% |
35% |
4.095% |
7.70% |
60% |
40% |
4% |
10% |
1.00 |
10.0% |
6.80% |
35% |
4.420% |
7.77% |
59% |
41% |
4% |
10% |
1.00 |
10.0% |
6.80% |
35% |
4.420% |
7.71% |
58% |
42% |
4% |
10% |
1.00 |
10.0% |
6.80% |
35% |
4.420% |
7.66% |
57% |
43% |
4% |
10% |
1.00 |
10.0% |
6.80% |
35% |
4.420% |
7.60% |
56% |
44% |
4% |
10% |
1.00 |
10.0% |
6.80% |
35% |
4.420% |
7.54% |
55% |
45% |
4% |
10% |
1.00 |
10.0% |
7.20% |
35% |
4.680% |
7.61% |
54% |
46% |
4% |
10% |
1.00 |
10.0% |
7.20% |
35% |
4.680% |
7.55% |
53% |
47% |
4% |
10% |
1.00 |
10.0% |
7.20% |
35% |
4.680% |
7.50% |
52% |
48% |
4% |
10% |
1.00 |
10.0% |
7.20% |
35% |
4.680% |
7.45% |
51% |
49% |
4% |
10% |
1.00 |
10.0% |
7.20% |
35% |
4.680% |
7.39% |
50% |
50% |
4% |
10% |
1.00 |
10.0% |
7.50% |
35% |
4.875% |
7.44% |
49% |
51% |
4% |
10% |
1.00 |
10.0% |
7.50% |
35% |
4.875% |
7.39% |
48% |
52% |
4% |
10% |
1.00 |
10.0% |
7.50% |
35% |
4.875% |
7.34% |
47% |
53% |
4% |
10% |
1.00 |
10.0% |
7.50% |
35% |
4.875% |
7.28% |
46% |
54% |
4% |
10% |
1.00 |
10.0% |
7.50% |
35% |
4.875% |
7.23% |
45% |
55% |
4% |
10% |
1.00 |
10.0% |
8% |
35% |
5.200% |
7.36% |
44% |
56% |
4% |
10% |
1.00 |
10.0% |
8% |
35% |
5.200% |
7.31% |
43% |
57% |
4% |
10% |
1.00 |
10.0% |
8% |
35% |
5.200% |
7.26% |
42% |
58% |
4% |
10% |
1.00 |
10.0% |
8% |
35% |
5.200% |
7.22% |
41% |
59% |
4% |
10% |
1.00 |
10.0% |
8% |
35% |
5.200% |
7.17% |
40% |
60% |
4% |
10% |
1.00 |
10.0% |
8.50% |
35% |
5.525% |
7.32% |
39% |
61% |
4% |
10% |
1.00 |
10.0% |
8.50% |
35% |
5.525% |
7.27% |
38% |
62% |
4% |
10% |
1.00 |
10.0% |
8.50% |
35% |
5.525% |
7.23% |
37% |
63% |
4% |
10% |
1.00 |
10.0% |
8.50% |
35% |
5.525% |
7.18% |
36% |
64% |
4% |
10% |
1.00 |
10.0% |
8.50% |
35% |
5.525% |
7.14% |
35% |
65% |
4% |
10% |
1.00 |
10.0% |
9% |
35% |
5.850% |
7.30% |
34% |
66% |
4% |
10% |
1.00 |
10.0% |
9% |
35% |
5.850% |
7.26% |
33% |
67% |
4% |
10% |
1.00 |
10.0% |
9% |
35% |
5.850% |
7.22% |
32% |
68% |
4% |
10% |
1.00 |
10.0% |
9% |
35% |
5.850% |
7.18% |
31% |
69% |
4% |
10% |
1.00 |
10.0% |
9% |
35% |
5.850% |
7.14% |
30% |
70% |
4% |
10% |
1.00 |
10.0% |
9.50% |
35% |
6.175% |
7.32% |
29% |
71% |
4% |
10% |
1.00 |
10.0% |
9.50% |
35% |
6.175% |
7.28% |
28% |
72% |
4% |
10% |
1.00 |
10.0% |
9.50% |
35% |
6.175% |
7.25% |
27% |
73% |
4% |
10% |
1.00 |
10.0% |
9.50% |
35% |
6.175% |
7.21% |
26% |
74% |
4% |
10% |
1.00 |
10.0% |
9.50% |
35% |
6.175% |
7.17% |
25% |
75% |
4% |
10% |
1.00 |
10.0% |
9.50% |
35% |
6.175% |
7.13% |