Face Value of Bonds = $21,000,000
Issue Value of Bonds = $22,254,809
Premium on Bonds = Issue Value of Bonds - Face Value of
Bonds
Premium on Bonds = $22,254,809 - $21,000,000
Premium on Bonds = $1,254,809
Annual Coupon Rate = 12%
Semiannual Coupon Rate = 6%
Semiannual Coupon = 6% * $21,000,000
Semiannual Coupon = $1,260,000
Time to Maturity = 10 years
Semiannual Period = 20
Semiannual Amortization of Premium = Premium on Bonds /
Semiannual Period
Semiannual Amortization of Premium = $1,254,809 / 20
Semiannual Amortization of Premium = $62,740
Semiannual Interest Expense = Semiannual Coupon - Semiannual
Amortization of Premium
Semiannual Interest Expense = $1,260,000 - $62,740
Semiannual Interest Expense = $1,197,260
Answer 1 and 2.
Answer 3.
Interest Expense for 20Y1 = $1,197,260
Answer 4.
Yes. Proceed from issue of bonds will always be greater than the face amount when the contract rate is greater than the market rate of interest.
Answer 5.
Annual Interest Rate = 11%
Semiannual Interest Rate = 5.50%
Present Value of Face Amount = $21,000,000 * PV of $1 (5.50%,
20)
Present Value of Face Amount = $21,000,000 * 0.34273
Present Value of Face Amount = $7,197,330
Present Value of Semiannual Interest Payments = $1,260,000 * PVA
of $1 (5.50%, 20)
Present Value of Semiannual Interest Payments = $1,260,000 *
11.95038
Present Value of Semiannual Interest Payments = $15,057,479
Price Received for the Bonds = Present Value of Face Amount +
Present Value of Semiannual Interest Payments
Price Received for the Bonds = $7,197,330 + $15,057,479
Price Received for the Bonds = $22,254,809
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