# Marriott Case Solutions

Topics: Weighted average cost of capital, Modigliani-Miller theorem, Weighted mean Pages: 4 (532 words) Published: March 18, 2015
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What is the weighted average cost of capital (WACC) for Marriott Corporation?

WACC = (1 - τ)rD(D/V) + rE(E/V)
D = market value of debt
E = market value of equity
V = value of the firm = D + E
rD = pretax cost of debt
rE = after tax cost of debt

τ = tax rate = 175.9/398.9 = 44%

Cost of Equity
Target debt ratio is 60%; actual is 41% [Exhibit 1]
βs = 1.11

βu = βs / (1 + (1 – τ) D/E)
= 1.11/(1 + (1 – .44) (.41))
= 0.80

Using the target debt ratio of 60%:
βTs = βu (1 + (1 – τ) D/E)
= .8(1 + (1 – .44) (.6/.4))
βTs =1.47

Using CAPM:
rf = 8.95% long-term rate on U.S. government bonds
(rm – rf) = 7.43% average 1926-1987

rE = rf + βTs (rm – rf)
= 8.95% + (1.47)(7.43%)
= 19.87%

Cost of Debt
rD = government bond rate + credit spread
= 8.95% + 1.30%
= 10.25%

WACC = (1 - τ)rD(D/V) + rE(1 - D/V)
= (1 – .44) (.1025)(.6) + (.1987)(.4)
= 11.39%

WACC for Marriott= 11.39%
WACC for lodging division = 9.25%
WACC for restaurant division = 13.84%
WACC for Marriott’s contract division = 23.07%

Market Value Leverage
D/V

Beta
βs

Tax Rate
τ
Unlevered
Beta
= βs / (1 + (1 – τ) D/E)
Hilton
14.00
0.76
44.00
0.70
Holiday
79.00
1.35
44.00
0.43
La Quinta
69.00
0.89
44.00
0.40
65.00
1.36
44.00
0.67
Total

Average Unlevered Beta
0.55

βu = 0.55

Cost of Equity
Using the target debt ratio of 74%:
βTs = βu (1 + (1 - τ) D/E)
βTs = .55 (1 + (1 - .44)(.74/.26))
βTs = 1.427

Using CAPM:
rE = rf + βTs (rm – rf)
= 8.95% + 1.427(7.43%)
= 19.55%

Cost of Debt
rD = government bond rate + credit spread
= 8.95% + 1.10%
= 10.05%

WACC = (1 – τ)rD(D/V) + rE(E/V)
= (1 - .44)(.1005)(.74) + (.1955)(.26)
= 9.25%

What is the WACC for the restaurant division Marriott?

Market Value Leverage
D/V

Beta
βs

Tax Rate
τ
Unlevered
Beta
= βs / (1 + (1 – τ) D/E)
Church’s
4.00
1.45
44.00
1.42
Collins Foods
10.00
1.45
44.00
1.37...