Question

In: Finance

I. Cost of Debt Type of Debt Amount ($million) Weight Interest rate (%) Short-term debt US$...

I. Cost of Debt

Type of Debt

Amount ($million)

Weight

Interest rate (%)

Short-term debt

US$ 13,600

11.27%

Existing long-term debt

US$ 5,262

9.75%

Sub. Increasing-rate notes (Class I)

US$ 1,250

13.00%

Sub. Increasing-rate notes (Class II)

US$ 3,750

14.00%

Senior convertible debentures

US$ 1,800

14.50%

Partnership debt securities

US$ 500

11.20%

Total

US$ 26,162

After-tax cost of debt (tax rate @35.5%)

Solutions

Expert Solution

Total Debt value = Value of Short-term debt + Value of Existing long-term debt + Value of Sub. Increasing-rate notes (Class I) + Value of Sub. Increasing-rate notes (Class II) + Value of Senior convertible debentures + Value of Partnership debt securities
=13600+5262+1250+3750+1800+500
=26162
Weight of Short-term debt = Value of Short-term debt/Total Debt Value
= 13600/26162
=0.5198
Weight of Existing long-term debt = Value of Existing long-term debt/Total Debt Value
= 5262/26162
=0.2011
Weight of Sub. Increasing-rate notes (Class I) = Value of Sub. Increasing-rate notes (Class I)/Total Debt Value
= 1250/26162
=0.0478
Weight of Sub. Increasing-rate notes (Class II) = Value of Sub. Increasing-rate notes (Class II)/Total Debt Value
= 3750/26162
=0.1433
Weight of Senior convertible debentures = Value of Senior convertible debentures/Total Debt Value
= 1800/26162
=0.0688
Weight of Partnership debt securities = Value of Partnership debt securities/Total Debt Value
= 500/26162
=0.0191
cost of Debt = Weight of Short-term debt*cost of Short-term debt+Weight of Existing long-term debt*cost of Existing long-term debt+Weight of Sub. Increasing-rate notes (Class I)*cost of Sub. Increasing-rate notes (Class I)+Weight of Sub. Increasing-rate notes (Class II)*cost of Sub. Increasing-rate notes (Class II)+Weight of Senior convertible debentures*cost of Senior convertible debentures+Weight of Partnership debt securities*cost of Partnership debt securities
cost of Debt = 0.1127*0.5198+0.0975*0.2011+0.13*0.0478+0.14*0.1433+0.145*0.0688+0.112*0.0191
cost of Debt = 0.1166 = 11.66%
After tax rate = YTM * (1-Tax rate)
After tax rate = 11.66 * (1-0.355)
After tax rate = 7.52

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