On January 1 of Year 1, Congo Express Airways issued $3,800,000 of 7%, bonds that pay interest semiannually on January 1 and July 1. The bond issue price is $3,432,000 and the market rate of interest for similar bonds is 8%. The bond premium or discount is being amortized using the straight-line method at a rate of $11,500 every 6 months. The life of these bonds is:
Multiple Choice
30 years
16 years.
32 years.
11 years.
33 years.
Solution:
Total Discount on Bond issued = Face Value of Bond - Issue Price of Bond = $3,800,000 - $3,432,000 = $368,000
Now,
Discount amortization every 6 months = Total Discount on bond / Total Number of Half years during life of bond
$11500 = $368000 / Total Number of Half years during life of bond
Total Number of Half years during Life of Bond = $368000/$11500
Total Number of Half years during Life of Bond = 32 half years
Therefore Life of bonds = 32 half years/ 2 = 16 years
Hence second option "16 years" is correct.
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