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1- Should the risk premium, Rm – Rf, be a spot (i.e., current) rate or a histori

ID: 2803517 • Letter: 1

Question

1- Should the risk premium, Rm – Rf, be a spot (i.e., current) rate or a historical average? Should it be a long-term or short-term rate? In other words, should the risk premium be relative to T-bills (maturities of one year or less) or T-bonds (maturities of ten years or longer)? Justify.

Marriott Cost of Capital Step 1. Calculating asset beta for each division as bridge to find levered beta Step 2. Using asset bela for each division, calculating cost of capital Step 3. Calculating WACC 5 yr Avg Tax Rate 6 Tax Rate Levered Equity Bcta Weight of debt Weight of equity DIE Unlevered Asset Bcta Targct Debt Target Equity Target DVE EN hareholders cquity (1987) 810.8 Long term debt (1987) 2498.8 8 Marriott 41% 0.754 0.40 0.24 74% 11 Hiton 12 Holday 13 La Quinta 14 Ramada 15 Average 0.65 028 028 14% 0.163 3.762 Unlevered Asset Beta 0.422 21% 31% Target DIE Lcvered Equity Bcta 0.89 1.72 7 Restaurants 18 Church's 9 Colins 0 Frisch's 1.39 1.31 0.54 0.75 0.72 Unlevered Asset Beta Target DrE Levered Equity Beta 0.04 0.959 10% 0.06 0.01 3.91 0.76 2 McDonalds 23% 24 Average Unlevered Asset Beta Target DIE Levered Equity Beta 1.405 6 Contract Services 7 Average ldentifiable Assets Assets % Unlevered BetaS Beta Assets 0.422 0.255909649 0.959 0.118733559 1.405 0.379481821 0.754 0.754125029 30 2 Contract Services 3 Marriott 567.6 1237.7 4582 7 Lodging Restaurants Contract Services 1.40% 6 Government interest rati 1.10% 1.80% 8 Cost of debt 39 Risk premium equty 40 Unlevered Asset Bela 1 Levered E 12 Cost of equity 43 Target debt value 44 Target equity value 8.70% 676% 0959 10.35% 7 43% 1.405 5.74 44.01% 10.05% 7,43% 0.422 13.91% 74% 26% 58% 6 WACC 8.52% 18.80% 29.14% WACC - (weight of equity) x (cost of equity) +(weight of debt) x (cost of debt) 48

Explanation / Answer

Risk Premium to be used can be historical. The reason being historical risk premiums average out over a longer time horizon lending statistics significant unlike the current risk premium which subject itself to fluctuations

For risk free rates , it is better to consider the shorter term rates as long term treasury rates have maturity risks. So the nearest to the risk free rate of return is the near term or short term risk free rate of return.Hence maturity of one year or less can be considered.