Question

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Issued 15 year, $80,000 face value, 4.5% bonds on July 1 at 103. The bonds were...

Issued 15 year, $80,000 face value, 4.5% bonds on July 1 at 103. The bonds were sold to yield an effective annual rate of 4.227885%, and they pay interest every Jan 1 and Jul 1. Accrue bond interest payable and amortize bond discount/premium. Jumukha Corp. uses effective-interest amortization. (Hint: the bond was issued midway through year.)

Solutions

Expert Solution

 
Coupon Payment number Coupon Payment date Beginning Value of bond(1) Interest Expense(2)=(1)*4.227885%*6/12 Cash interest paid(3)=80000*4.5%*6/12 Premium amortization(4)=(3)-(2) Unamortized premium Ending Value of bond
0 July 1 $ 2,400.00 $ 82,400.00
1 Jan 1    82,400.00    1,741.89    1,800.00    58.11    2,341.89    82,341.89
2 July 1    82,341.89    1,740.66    1,800.00    59.34    2,282.55    82,282.55
3 Jan 1    82,282.55    1,739.41    1,800.00    60.59    2,221.95    82,221.95
4 July 1    82,221.95    1,738.12    1,800.00    61.88    2,160.08    82,160.08
5 Jan 1    82,160.08    1,736.82    1,800.00    63.18    2,096.90    82,096.90
6 July 1    82,096.90    1,735.48    1,800.00    64.52    2,032.38    82,032.38
7 Jan 1    82,032.38    1,734.12    1,800.00    65.88    1,966.49    81,966.49
8 July 1    81,966.49    1,732.72    1,800.00    67.28    1,899.22    81,899.22
9 Jan 1    81,899.22    1,731.30    1,800.00    68.70    1,830.52    81,830.52
10 July 1    81,830.52    1,729.85    1,800.00    70.15    1,760.37    81,760.37
11 Jan 1    81,760.37    1,728.37    1,800.00    71.63    1,688.74    81,688.74
12 July 1    81,688.74    1,726.85    1,800.00    73.15    1,615.59    81,615.59
13 Jan 1    81,615.59    1,725.31    1,800.00    74.69    1,540.90    81,540.90
14 July 1    81,540.90    1,723.73    1,800.00    76.27    1,464.63    81,464.63
15 Jan 1    81,464.63    1,722.12    1,800.00    77.88    1,386.74    81,386.74
16 July 1    81,386.74    1,720.47    1,800.00    79.53    1,307.21    81,307.21
17 Jan 1    81,307.21    1,718.79    1,800.00    81.21    1,226.00    81,226.00
18 July 1    81,226.00    1,717.07    1,800.00    82.93    1,143.07    81,143.07
19 Jan 1    81,143.07    1,715.32    1,800.00    84.68    1,058.39    81,058.39
20 July 1    81,058.39    1,713.53    1,800.00    86.47    971.91    80,971.91
21 Jan 1    80,971.91    1,711.70    1,800.00    88.30    883.61    80,883.61
22 July 1    80,883.61    1,709.83    1,800.00    90.17    793.45    80,793.45
23 Jan 1    80,793.45    1,707.93    1,800.00    92.07    701.37    80,701.37
24 July 1    80,701.37    1,705.98    1,800.00    94.02    607.36    80,607.36
25 Jan 1    80,607.36    1,703.99    1,800.00    96.01    511.35    80,511.35
26 July 1    80,511.35    1,701.96    1,800.00    98.04    413.31    80,413.31
27 Jan 1    80,413.31    1,699.89    1,800.00    100.11    313.20    80,313.20
28 July 1    80,313.20    1,697.77    1,800.00    102.23    210.98    80,210.98
29 Jan 1    80,210.98    1,695.61    1,800.00    104.39    106.59    80,106.59
30 July 1 $ 80,106.59 $ 1,693.41 $ 1,800.00 $ 106.59 $ -0.00 $ 80,000.00
Total
Working:
# 1 Issued proceeds from bonds = Face Value * % of issuance
= $ 80,000 * 103%
= $ 82,400

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