Face Value of Bonds = $30,000,000
Issue Value of Bonds = $28,279,368
Discount on Bonds = Face Value of Bonds - Issue Value of
Bonds
Discount on Bonds = $30,000,000 - $28,279,368
Discount on Bonds = $1,720,632
Annual Coupon Rate = 11.00%
Semiannual Coupon Rate = 5.50%
Semiannual Coupon = 5.50% * $30,000,000
Semiannual Coupon = $1,650,000
Time to Maturity = 10 years
Semiannual Period = 20
Answer 5.
Annual Interest Rate = 12.00%
Semiannual Interest Rate = 6.00%
Present Value of Face Amount = $30,000,000 * PV of $1 (6.00%,
20)
Present Value of Face Amount = $30,000,000 * 0.31180
Present Value of Face Amount = $9,354,000
Present Value of Semiannual Interest Payments = $1,650,000 * PVA
of $1 (6.00%, 20)
Present Value of Semiannual Interest Payments = $1,650,000 *
11.46992
Present Value of Semiannual Interest Payments = $18,925,368
Price Received for the Bonds = Present Value of Face Amount +
Present Value of Semiannual Interest Payments
Price Received for the Bonds = $9,354,000 + $18,925,368
Price Received for the Bonds = $28,279,368
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