Windsor, Incorporated, issues 7%, 10-year bonds with a face amount of $1 million on January 1, Year 1, for $932,048, when the market rate of interest is 8%. Interest is paid semiannually on June 30 and December 31. Interest expense associated with this bond for the first semiannual period is:Multiple Choice$35,000$32,622$37,282$40,000
Question
Windsor, Incorporated, issues 7%, 10-year bonds with a face amount of 932,048, when the market rate of interest is 8%. Interest is paid semiannually on June 30 and December 31. Interest expense associated with this bond for the first semiannual period is:Multiple Choice32,62240,000
Solution
The interest expense for a bond is calculated based on the market rate of interest, not the stated rate of the bond. In this case, the market rate of interest is 8% per year, but since interest is paid semiannually, we need to divide this rate by 2 to get the rate per period. So, the rate per period is 4% (8% / 2).
Next, we need to calculate the interest expense for the first semiannual period. This is done by multiplying the rate per period by the carrying value of the bond at the beginning of the period. The carrying value of the bond at the beginning of the period is the price it was issued for, which is $932,048.
So, the interest expense for the first semiannual period is 37,282.
Therefore, the correct answer is $37,282.
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