Appendix WACC - Marriott 2. Estimate the cost of capital (rwacc) for Marriott as a whole.
Givens: Company as a whole Target Debt Ratio (D/V) Target Debt to Equity Ratio (D/E) Debt Rate Prem above Gov't Tax Rate (t) (See Tax Rate Calculation)
Calculation of Cost of Debt (Rd): Since Lodging using the long-term debt and restuarants and contract services use the shortterm debt, I am going to use the 10-year gov't interest rate to calculate the cost of debt (Rd). Rd = Debt rate prem above Gov't + 10-year gov't interest rate Rd 10.02%
Calcuation of WACC: WACC = (D/V)*(1-t)*Rd+(E/V)*Re
Calculation of Cost of Equity (Re): WACC Marriott uses the Capm model to calculate cost of equity. Capm = Rf + B(expected levered)*(equity premium) Rf = 10-year gov't interest rate B(levered) Equity Premium** Actual D/V (given in case) Actual D/E
8.72% 0.97 7.43% 41.00% 69.49%
Calc to Unlever Beta and Relever Beta Step 1. Unlever Beta Bu
0.701
Step 2. Relever Beta using Target D/E Bl
1.28
Now Calc Capm Capm
18.24%
**From the case - The arithmetic average from 1926-1987 of the spread between S&P 500 Composite Returns and Long-Term US Government Bond Returns 3. Estimate the asset bta for Marriott as a whole. Bu = asset beta Asset Beta
0.701
10.62%
Marriott - Lodging WACC Table 4. Estimate the cost of capital for the lodging division using a bottom up approach. Use Comparable Data Equity Beta Actual D/V Assumed Tax Rate Actual D/E Unlevered Beta 0.88 14% 44.8% 16.3% 0.807388303 1.46 79% 44.8% 376.2% 0.474292102 0.38 69% 44.8% 222.6% 0.170430244 0.95 65% 44.8% 185.7% 0.468908346 Average Bu 0.480254749
Hilton Hotels Holiday Corp La Quinta Motor Inns Ramada Inns
Target D/V (Lodging) Target D/E (Lodging)
74% 285%
Take Average Bu and Relever it using Target Ratios Bl 1.24 Calc Capm Rf=30-year gov't rate Equity Premium Capm
8.95% 7.43% 18.13%
Calc Rd Premium 30-year rate Rd
1.10% 8.95% 10.05%
Calculate WACC WACC
8.82%
Marriott - Restaurants WACC Table 4. Estimate the cost of capital for the restaurant division using a bottom up approach. Use Comparable Data Equity Beta Actual D/V Assumed Tax Rate Actual D/E Unlevered Beta 0.75 4% 44.8% 4.2% 0.7331 0.6 10% 44.8% 11.1% 0.5653 0.13 6% 44.8% 6.4% 0.1256 0.64 1% 44.8% 1.0% 0.6364 1 23% 44.8% 29.9% 0.8584 1.08 21% 44.8% 26.6% 0.9417 Average Bu 0.6434
Church's Fried Chicken Collins Foods International Frisch's Restaurants Luby's Cafeterias McDonald's Wendy's International
Take Average Bu and Relever using Target Ratios Bl 0.900817995 Calc Capm Rf=1-year gov't rate Equity Premium Capm
6.90% 8.47% 14.53%
Calc Rd Premium 1 year rate Rd
1.80% 6.90% 8.70%
Calculate WACC WACC
10.45%
Marriott - Contract WACC Table 5. What is the cost of capital for Marriott's contract services division? Target D/V (Contract) Target D/E (Contract) Be (Marriott) Tax Rate (t) Target D/V (Marriott) Target D/E (Marriott) Weight for Lodging (wl)** Weight for Restaurant (wr)** Weight for Contract (wc)**
40% 67% 0.97 44.8% 41.0% 69.5% 61% 15% 25%
Unlever Beta for Marriott as a whole Bu 0.700913989
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