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If the corporate tax rare is 30 percent, what is the Aftertax cost of the compan

ID: 2646615 • Letter: I

Question

If the corporate tax rare is 30 percent, what is the Aftertax cost of the company's debt ?

My answer of 2.5 is not correct, I need the correct answer please and thank you.


value: 3.00 points Ying Import has several bond issues outstanding, each making semiannual interest payments. The bonds are listed in the table below. Bond Coupon Rate ce Quote 1056 8.60% 6.80 8 30 8.80 94.8 104.4 106.3 Maturity 6 years 9 years 16.5 years 26 years Face Value $26,000,000 46,000,000 51,000,000 66,000,000 3 Required It the corporate tax rate is 30 percent, what is the aftertax cost of the company's debt? (Do not round Intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g. 32.16).) Aftertax cost of debt 250 % check my work references refetences ebook&resources;

Explanation / Answer

Step 1 : Calculation of after tax debt of each bond

Bond 1

Before Tax Cost of Debt = rate(nper,pmt,pv,fv) *2

Nper (indicates the period) = 6*2 = 12

PV (indicates the price) = 105.6%*1000 = 1056

PMT (indicate the semi annual payment) = 1000*8.6% *1/2 = 43

FV (indicates the face value) = 1000

Rate (indicates YTM) = ?

Before Tax Cost of Debt = rate(12,43,-1056,1000) * 2

Before Tax Cost of Debt = 7.43 %

After Tax Cost of Debt = 7.43*(1-30%)

After Tax Cost of Debt =5.20%

Bond 2

Before Tax Cost of Debt = rate(nper,pmt,pv,fv) *2

Nper (indicates the period) = 9*2 = 18

PV (indicates the price) = 94.80%*1000 = 948

PMT (indicate the semi annual payment) = 1000*6.8% *1/2 = 34

FV (indicates the face value) = 1000

Rate (indicates YTM) = ?

Before Tax Cost of Debt = rate(18,34,-948,1000) * 2

Before Tax Cost of Debt = 7.61 %

After Tax Cost of Debt = 7.61*(1-30%)

After Tax Cost of Debt =5.33%

Bond 3

Before Tax Cost of Debt = rate(nper,pmt,pv,fv) *2

Nper (indicates the period) = 16.5*2 = 33

PV (indicates the price) = 104.40%*1000 = 1044

PMT (indicate the semi annual payment) = 1000*8.3% *1/2 = 41.5

FV (indicates the face value) = 1000

Rate (indicates YTM) = ?

Before Tax Cost of Debt = rate(33,41.5,-1044,1000) * 2

Before Tax Cost of Debt = 7.82 %

After Tax Cost of Debt = 7.82*(1-30%)

After Tax Cost of Debt =5.47%

Bond 4

Before Tax Cost of Debt = rate(nper,pmt,pv,fv) *2

Nper (indicates the period) = 26*2 = 52

PV (indicates the price) = 106.30%*1000 = 1063

PMT (indicate the semi annual payment) = 1000*8.8% *1/2 = 44

FV (indicates the face value) = 1000

Rate (indicates YTM) = ?

Before Tax Cost of Debt = rate(52,44,-1063,1000) * 2

Before Tax Cost of Debt = 8.21%

After Tax Cost of Debt = 8.21*(1-30%)

After Tax Cost of Debt =5.75%

Step 2 : Calculation of Weight of each bond

Market Value of Bond 1 = 26 Million*105.60% = 27.456 Million

Market Value of Bond 2 = 46 Million*94.80% = 43.608 Million

Market Value of Bond 3 = 51 Million*104.40% = 53.244 Million

Market Value of Bond 4 = 66 Million*106.30% = 70.158 Million

Total Market value = 194.466 Million

Weight of Bond 1= 27.456 / 194.466

Weight of Bond 2 = 43.608 / 194.466

Weight of Bond 3 = 53.244 / 194.466

Weight of Bond 4 = 70.158 / 194.466

Step 3 : Calculation of After tax cost of the company debt

After tax cost of the company debt = Weight of Bond 1 * After Tax Cost of Debt of Bond 1 + Weight of Bond 2 * After Tax Cost of Debt of Bond 2 + Weight of Bond 3 * After Tax Cost of Debt of Bond 3 + Weight of Bond 4 * After Tax Cost of Debt of Bond 4

After tax cost of the company debt = 27.456 / 194.466*5.20 + 43.608 / 194.466*5.33 + 53.244 / 194.466 *5.47+ 70.158 / 194.466*5.75

After tax cost of the company debt = 5.50%

Answer

After tax cost of the company debt = 5.50%

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