Karen austin inc. has issued three types of debt on january 1, 2020, the start of the company’s fiscal year.(a) $10 million, 10-year, 15% unsecured bonds, interest payable quarterly. bonds were priced to yield 12%.(b) $25 million par of 10-year, zero-coupon bonds at a price to yield 12% per year.(c) $20 million, 10-year, 10% mortgage bonds, interest payable annually to yield 12%.

Explanation:

Yield rate on unsecured bonds=12%

Yield rate on zero coupon bond=12%

Yield rate on 10% mortgage bonds=12%

Total debt value=10m+25m+20m=55m

Weight of unsecured bonds=10/55=0.182

Weight of zero coupon bonds=25/55=0.455

Weight of 10% mortgage bonds = 20/55= 0.363

Cost of debt=0.182*12+ 0.455*12+0.363*12=12%

month 1 start amount =$3287.90 interest=(3287.90x0.0145/12)3.97 total to pay=$3291.81 paid =$1200 balance =$2,091.87

month 2 starting amount= $2,091.87 interest =$25.28 total to pay =$2117.15 paid =$1200 balance $917.15

month 3 starting amount =$917.15 interest =$11.08 total to pay =$928.23 paid =$928.23 balance =$0 total to pay 1200+1200+928.23 = $3328.23 it will take 3 months to pay a total of $3328.23

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