On june 1, greendale corp. issued $700,000, five-year bonds at 8%, with interest payable annually on may 31. the bonds sold for $728,700 when the market rate of interest was 7%. greendale uses the effective interest method for amortizing premiums on bonds payable. what is the balance of the premiums on bonds payable account immediately following the first interest payment?

$23,709

Explanation:

Data provided in the question:

Amount of bond issued = $700,000

Duration = 5 years

Interest rate = 8%

Selling amount of bond = $728,700

Market rate of interest = 7%

Now,

Interest paid = Amount of bond issued × Interest rate

= $700,000 × 0.08

= $56,000

Interest expense = Amount of bond sold × Market Interest rate

= $728,700 × 0.07

= $51,009

unamortized premium = Selling amount of bond -  Amount of bond issued

= $728,700 - $700,000

= $28,700

Amortized amount = Interest paid - Interest expense

= $56,000 - $50,009

= $4,991

Balance  of the premiums on bonds payable account immediately following the first interest payment

= unamortized premium - Amortized amount

= $28,700 - $4,991

= $23,709

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