Carla Vista Co. sold $3,290,000, 10%, 10-year bonds on January 1, 2022. The bonds were dated January 1, 2022, and pay interest on January 1. The company uses straight-line amortization on bond premiums and discounts.
If bonds are issued at 101:
Face Value of Bonds = $3,290,000
Issue Value of Bonds = 101% * $3,290,000
Issue Value of Bonds = $3,322,900
Annual Coupon Rate = 10.00%
Annual Coupon = 10.00% * $3,290,000
Annual Coupon = $329,000
Premium on Bonds = Issue Value of Bonds - Face Value of
Bonds
Premium on Bonds = $3,322,900 - $3,290,000
Premium on Bonds = $32,900
Time to Maturity = 10 years
Annual Amortization of Premium = Premium on Bonds / Time to
Maturity
Annual Amortization of Premium = $32,900 / 10
Annual Amortization of Premium = $3,290
Annual Interest Expense = Annual Coupon - Annual Amortization of
Premium
Annual Interest Expense = $329,000 - $3,290
Annual Interest Expense = $325,710
If bonds are issued at 96:
Face Value of Bonds = $3,290,000
Issue Value of Bonds = 96% * $3,290,000
Issue Value of Bonds = $3,158,400
Annual Coupon Rate = 10.00%
Annual Coupon = 10.00% * $3,290,000
Annual Coupon = $329,000
Discount on Bonds = Face Value of Bonds - Issue Value of
Bonds
Discount on Bonds = $3,290,000 - $3,158,400
Discount on Bonds = $131,600
Time to Maturity = 10 years
Annual Amortization of Discount = Discount on Bonds / Time to
Maturity
Annual Amortization of Discount = $131,600 / 10
Annual Amortization of Discount = $13,160
Annual Interest Expense = Annual Coupon + Annual Amortization of
Discount
Annual Interest Expense = $329,000 + $13,160
Annual Interest Expense = $342,160
Carla Vista Co. sold $3,290,000, 10%, 10-year bonds on January 1, 2022. The bonds were dated...
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