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Marriot Case

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2. Cost of capital of Marriott

Cost of Capital Marriott dapat dihitung dengan perhitungan WACC, yaitu:

WACC=(1-t)*Rd*Wd + Re*We

Re, atau cost of equity dapat dihitung dengan rumus :

CAPM=Rf+b(Rm-Rf)

Rf atau risk free rate-nya dapat kami ambil dari exhibit 4 untuk long-term US Government Bond untuk tahun 1987 sebesar -2.69% (karena kami melakukan perhitungan untuk perusahaan Marriott, dengan asumsi untuk jangka panjang, maka kami menggunakan rate yang long-term)

Untuk Market Portfolio Rate-nya (Rm) kami pakai rate-nya SP500 untuk tahun 1926-1987 sebesar 12.01%

Dari soal kami ketahui Beta Levered Marriott adalah 0.97. Tetapi ini adalah beta untuk tahun 1986-1987 dengan komposisi struktur kapital yang berbeda dengan yang diinginkan (debt sebesar 60%). Dari exhibit 1, kami ketahui debt untuk tahun 1987 adalah 41% dari keseluruhan kapital. Untuk mendapatkan beta levered dengan komposisi struktur kapital yang berbeda, kami menggunakan rumus Hamada.

Bl=Bu+(1+(1-t)D/E)

Bl=0,97; tax=0.34; D=2.498,8(juta dollar), E=$30*118,8million shares=3.564(juta dollar)

Bu (beta unlevered)=0,66

Dari beta unlevered ini kami gunakan untuk perhitungan beta dengan komposisi struktur kapital debt 60%.

Bl=Bu+(1+(1-t)D/E)

D=0,6; E=0,4 maka didapatkan Beta Levered untuk Marriot adalah 1,32

Dengan demikian kami dapatkan CAPM, CAPM=Rf+b(Rm-Rf) sebesar 0,167

Rd, cost of debt didapatkan dengan menggunakan US government interest rate pada tahun 1988 untuk jangka maturity sebesar 30 tahun (kami asumsikan ini sesuai dengan going-concernnya Marriott) sebesar 8.95% dan tebarannya di atas Rate Premium pemerintah US sebesar 1.30%, maka kami dapatkan Cost Of Debt sebesar 8.95%+1.30%=10.25%. Dalam perhitungan ini kami juga mengasumsikan untuk tidak menggunakan perhitungan Floating Rate untuk debt.

Tax yang digunakan adalah 34%, komposisi debt sebesar 60% dan equity sebesar 40%, maka didapatkan WACC atau cost of capital untuk Marriott adalah 10,74%

3. Cost Of Capital untuk divisi Lodging, Restaurant dan Contract Service.

Divisi Lodging

Kami hitung dulu Levered Beta untuk Lodging dengan struktur kapital 74% debt. Soal menyediakan levered beta untuk beberapa perusahaan perhotelan disertai dengan Market Leverage-nya masing-masing. Untuk itu kami harus mendapatkan unlevered beta rata-rata untuk kesemua perusahaan hotel tersebut. (Unlevered Beta dihitung dengan menggunakan rumus Bl=Bu+(1+(1-t)D/E) ).

| |Levered Beta |D/V |E/V |Unlevered Beta |
|Hilton |0.88 |0.14 |0.86 |0.794624108 |
|Holiday Inn |1.46 |0.79 |0.21 |0.419196062 |
|La Quinta |0.38 |0.69 |0.31 |0.153906454 |
|Ramada Inn |0.95 |0.65 |0.35 |0.426829268 |
| | | |Average= |0.448638973 |

Dengan komposisi debt 75%, kami dapatkan Beta Levered untuk Lodging adalah 1,29.

Untuk Rf, kami menggunakan Rf yang sama dengan Marriott dengan pertimbangan Lodging memiliki jangka kegunaaan yang lama. Kami menggunakan Rf Goverment Bond Rate (Exhibit 4) 1987 sebesar -2,69% dan market portfolio SP500 1926-1987 sebesar 12,01. Maka kami mendapatkan Cost Of Equity sebesar 0,163.

Cost of Debt didapatkan dengan menggunakan US governement interest rate pada tahun 1988 untuk jangka maturity sebesar 30 tahun (dengan asumsi lodging memiliki waktu kegunaan yang lama) sebesar 8,95% dan tebarannya di atas Rate Premium pemerintah US sebesar 1,10%, maka kami dapatkan Cost Of Debt sebesar 8,95%+1,10%=10,05%. (Asumsi, Floating Rate untuk debt tidak diperhitungkan)

Dengan komposisi debt sebesar 74% dan equity sebesar 26%, maka didapatkan WACC atau cost of capital untuk Lodging adalah 9,15%

Divisi Restaurant

Kami hitung dulu Levered Beta untuk Restaurant dengan struktur kapital 42% debt. Soal menyediakan levered beta untuk beberapa perusahaan restaurant disertai dengan Market Leverage-nya masing-masing. Untuk itu kami harus mendapatkan unlevered beta rata-rata untuk kesemua perusahaan restaurant tersebut. (Unlevered Beta dihitung dengan menggunakan rumus Bl=Bu+(1+(1-t)D/E) ).

| |Levered Beta |D/V |E/V |Unlevered Beta |
|Church |0.75 |0.04 |0.96 |0.729927007 |
|Collin |0.6 |0.1 |0.9 |0.559006211 |
|Frisch |0.13 |0.06 |0.94 |0.124744794 |
|Luby's |0.64 |0.01 |0.99 |0.635761589 |
|McDonalds |1 |0.23 |0.77 |0.835322196 |
|Wendys |1.08 |0.21 |0.79 |0.918802498 |
| | | |Average= |0.633927383 |

Dengan komposisi debt 42%, kami dapatkan Beta Levered untuk Restaurant adalah 0,94.

Untuk Rf, kami menggunakan Short Term Treasurey Bill (Exhibit 4) 1987 sebesar 5.46% (dengan asumsi rate ini sesuai dengan sifat bisnis restaurant yang berjangka lebih pendek daripada hotel) dan market portfolio SP500 1926-1987 sebesar 12,01. Maka kami mendapatkan Cost Of Equity sebesar 0.116.

Cost of debt didapatkan dengan menggunakan US governement interest rate pada tahun 1988 untuk jangka maturity sebesar 10 tahun (dengan asumsi restaurant memiliki waktu kegunaan yang lebih singkat daripada hotel) sebesar 8,72% dan tebarannya di atas Rate Premium pemerintah US sebesar 1,80%, maka kami dapatkan Cost Of Debt sebesar 8,72%+1,80%=10,52%. (Asumsi, Floating Rate untuk debt tidak diperhitungkan)

Dengan komposisi debt sebesar 42% dan equity sebesar 58%, maka didapatkan WACC atau cost of capital untuk Restaurant adalah 9,64%

Divisi Contract Services

Kami hitung dulu Levered Beta untuk Contract Services dengan struktur kapital 40% debt. Karena soal tidak menyediakan benchmark untuk perusahaan Contract Services, kami harus menghitung Beta Unlevered untuk divisi Contact Services dengan menggunakan rumus beta portfolio:

Beta Portfolio=Σ Xi . bi

Dengan menggunakan aset ketiga divisi tersebut sebagai bobot, kita dapat menghitung unlevered beta divisi Contract Services.

Beta Portfolio=X lodging*b lodging + X restaurant * b restaurant + X Services * b Services

X lodging=2777,4/4582,7=60,6%

X Restaurant=567,6/4582,7=12,38%

X Services= 1237,7/4582,7=27%

Dengan menggunakan unlevered beta untuk Marriott, Lodging dan Restaurant yang sudah kita temukan di atas, maka didapatkan unlevered beta untuk Contract Services adalah 1,158

Dengan komposisi debt 40%, kami dapatkan Beta Levered-nya adalah 1,667.

Untuk Rf, kami menggunakan Short Term Treasurey Bill (Exhibit 4) 1987 sebesar 5.46% (dengan asumsi rate ini sesuai dengan sifat bisnis Contract Services yang berjangka lebih pendek daripada hotel) dan market portfolio SP500 1926-1987 sebesar 12,01%. Maka kami mendapatkan Cost Of Equity sebesar 0,164.

Cost of debt didapatkan dengan menggunakan US government interest rate pada tahun 1988 untuk jangka maturity sebesar 10 tahun (dengan asumsi Contract Services memiliki waktu kegunaan yang lebih singkat daripada hotel) sebesar 8,72% dan tebarannya di atas Rate Premium pemerintah US sebesar 1.40%, maka kami dapatkan Cost Of Debt sebesar 8,72%+1,40%=10,12%. (Asumsi, Floating Rate untuk debt tidak diperhitungkan)

Dengan komposisi debt sebesar 40% dan equity sebesar 60%, maka didapatkan WACC atau cost of capital untuk divisi Contract Services adalah 12.5%

3.a

Kami menggunakan Risk Free Rate yang berbeda-beda untuk setiap divisi, karena harus disesuaikan dengan karakter resiko setiap divisi tersebut. Kami menggunakan data risk free rate yang tahun 1987 dengan pertimbangan angka tesebut adalah risk free rate saat ini, yang merefleksikan opportunity cost untuk investor terhadap pilihan yang tidak beresiko untuk saat ini, bukan angka rata-rata history tingkat bunga selama ini.

Untuk Marriott dan Lodging, kami menggunakan Long Term US Government Bond Return sebagai Risk Free Rate sebesar -2,69% pada tahun 1987 dengan asumsi rate tersebut sesuai dengan sifat bisnis Marriot (ongoing concern sebagai sebuah perusahaan) dan Lodging (hotel) yang memiliki jangka kegunaan yang lama.

Untuk Restauran dan Contract Services, kami menggunakan Short Term US Treasury Bills sebagai Risk Free Rate sebesar 3.54% (rentang 1927-87) dengan asumsi rate tersebut sesuai dengan sifat bisnis restaurant dan Contract Services yang memiliki jangka kegunaan yang lebih singkat daripada bisnis hotel.

Untuk menghitung Risk Premium kami menggunakan SP500 Composite Return (1926-87) sebagai Market Portfolio sebesar 12.01 dan dikurangkan dengan Risk Free Rate yang sama dengan Risk Free Rate yang didefinisikan untuk masing-masing divisi sebelumnya di atas.

Untuk market portfolio kami menggunakan data rata-rata dengan jangka waktu tahun terbesar untuk mendapatkan nilai yang secara statistik yang lebih terpercaya.

2.b

Kami menggunakan rata-rata aritmetik dalam menghitung risk premium, karena digunakan untuk menghitung WACC, yang digunakan untuk mendiskonto free cash flow di masa depan. Aritmetik lebih baik digunakan untuk menghitung expected return di masa depan, sedangkan geometrik value lebih cocok untuk mengukur performansi investasi.

Referensi:

Tim Thompson. Cost Of Capital Teaching Note. http://www.kellogg.northwestern.edu/faculty/thompsnt/htm/d42/pdf/cost_cap.pdf

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Chromogens Affecting Wealth Wear Staining Teeth

... Many people wonder why their own teeth stain so easily. The enamel on your teeth and chromogens are what stains your teeth, but what exact beverage stains teeth the most? I chose this topic because I was curious to know what stains teeth the most. It affects us daily because it could rot your teeth or you can’t pick up hot chicks anymore. So what causes teeth to stain? The temperature causes teeth to expand or contract making it easier for stains. So hot and cold drinks affect that. Color in foods and beverages come from chromogens. Chromogens are intensely pigmented compounds that stick to teeth enamel. Chromogens cause a lot of trouble when they mix and react with other stain causing and stain promoting factors. Tannis may be natural or synthetic tannis is another factor that stains teeth. Tooth enamel is porous making it extremely susceptible to stains. The darker the liquid the darker the stain. There are some examples that stain teeth. Not only sodas bad but also Gatorade. Beets are bad for you also. Mostly cause they’re concentrated. Berries dark skins stain teeth. Ketchup is also really bad because of its bright red color and high levels of acid. Dark liquids and sauces you put on your foods also stain teeth. Colored candy and popsicles both contain colorants that will transfer to the teeth and embed in the porous enamel. Fruit juices, especially grape and cranberry, leave a colorful tinge on the teeth and tongue. Colored sodas instantly discolor teeth. The citric acids...

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