Ava, Inc., issued 8% bonds, dated January 1, with a face amount of $202,900 on January 1, 2016 for an issue price of 89. The bonds mature on December 31, 2025 (10 years). For bonds of similar risk and maturity the market yield is 10%. Interest is paid annually on December 31. What is the carrying value of the bond on December 31,2016?
Issue value of bonds = $202,900*89% = $180,581
Face value of bonds = $202,900
Discount on issue of bonds = $202,900 - $180,581 = $22,319
Interest to be paid in cash for 2016 = Face Value of Bond*Interest rate
= $202,900*8% = $16,232
Interest expense as per effective interest method = Issue value*Market rate of interest
= $180,581*10% = $18,058
Discount to be credited to carrying value in 2016 = Interest expense - Interest paid in cash
= $18,058 - $16,232 = $1,826
Carrying value on December 31, 2016 = Issue value+Discount to be credited
= $180,581+$1,826 = $182,407
Therefore the carrying value of bonds on December 31, 2016 is $182,407.
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