On January 1, Year 1, Young Company issued bonds with a face value of $108,000, a stated rate of interest of 10 percent, and a 10-year term to maturity. Interest is payable in cash on December 31 of each year. The effective rate of interest was 9 percent at the time the bonds were issued. The bonds sold for $114,931. Young used the effective interest rate method to amortize the bond premium. Required a. Determine the amount of the premium on the day of issue. b. Determine the amount of interest expense recognized on December 31, Year 1. (Round your answer to the nearest dollar amount.) c. Determine the carrying value of the bond liability on December 31, Year 1.

Respuesta :

Answer:

Premium on the issue is $6,931

Bond interest expense is $10,343.79

Bond carrying value is $114,474.79

Explanation:

The premium on the day of issue is the bonds' cash proceeds less the face value.

Cash proceeds is $114,931

Face value is $108,000

Premium =$114,931-$108,000=$6,931

Interest expense at December year one is the cash proceeds from the bondholders multiplied by the bond yield to maturity of 9% as shown below

interest expense=$114,931*9%=$10,343.79  

The bond carrying value at the end of the year is the cash proceeds plus the interest expense less coupon payment as below:

Carrying value=$114,931+$10,343.79-($108,000*10%)=$114,474.79  

a. The amount of the Bonds premium on January 1, Year 1 is $6,931.

b. The amount of the interest expense recognized on December 31, Year 1 is $8,957.59.

c. The carrying value of the bond liability on December 31, Year 1 is $113,088.59.

Data and Calculations:

Bonds Face value = $108,000

Bonds Proceeds = $114,931

Bonds Premium = $6,931 ($114,931 - $108,000)

Maturity period = 10 years

Issuance date = January 1, Year 1

Coupon interest rate = 10%

Effective interest rate = 11%

Interest Payment = annually on December 31

December 31, Year 1

Cash payment = $10,800 ($108,000 x 10%)

Interest Expense = $12,642.41 ($114,931 x 11%)

Amortization of premium = $1,842.41 ($12,642.41 - $10,800)

Interest expense recognized = $8,957.59 ($10,800 - $1,842.41)

Carrying value of bond liability = $113,088.59 ($114,931 - $1,842.41)

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