In: Accounting
Company sold bonds at the beginning of the year on June 1,2014. The bond has the face value of $2,000 and payment of $50 , each due on December 1 and June 1. The contract or stated rate =5%. The bond sold on the market on June 1.2014 to yield investors a 6% annual rate of return. New bond -5years. 6%yield. Coupon-5%. (Only discount not premium). Prepare an amortization table for the bond.
semiannual yield = 6*6/12 =3%
semiannual months =5*2 =10
Issue price = [PVA 3%,10*Interest ]+[PVF 3%,10*Face value]
=[8.53020*50]+ [.74409*000]
= 426.51+ 1488.18
= 1914.69
Discount on bond = 2000-1914.69 = 85.31
Amortisation schedule
Number of period | Interest paid [B] | Interest expense[A =Carrying value *.03] ] | Discount amortised [A-B] | Carrying value at end | ||
1 | 50 | 1914.69*.03= 57.44 | 7.44 | 1914.69+7.44= 1922.13 | ||
2 | 50 | 57.66 | 7.66 | 1922.13+7.66= 1929.79 | ||
3 | 50 | 57.89 | 7.89 | 1929.79+7.89= 1937.68 | ||
4 | 50 | 58.13 | 8.13 | 1937.68+8.13= 1945.81 | ||
5 | 50 | 58.37 | 8.37 | 1954.18 | ||
6 | 50 | 58.63 | 8.63 | 1962.81 | ||
7 | 50 | 58.88 | 8.88 | 1971.69 | ||
8 | 50 | 59.15 | 9.15 | 1980.84 | ||
9 | 50 | 59.43 | 9.43 | 1990.27 | ||
10 | 50 | 59.71 | 9.71 | 1999.98 [rounded to 2000] |