Bonds · PDF fileBonds payable 1,895,873 12/31/2013 Interest expense 151,670 Bonds payable...
Transcript of Bonds · PDF fileBonds payable 1,895,873 12/31/2013 Interest expense 151,670 Bonds payable...
Professor Authored Problem Solutions
Intermediate Accounting 2
Bonds
Solution to Problem 39Bonds issued at a discount
There are two ways to organize a bond amortization table for a regular issue of bonds. The first is the
one I use, and has the table end with the maturity value of the bond. The second includes a final period
principal payment and the table ends with a balance of zero. I’ll show both here.
Maturity val 2,000,000
Yield/Eff Rate 8%
Coupon rate 7 %
Years 7Pmts / year 1
Total pmts 7
Total cash Pmt 140,000
type end=0 0
Proceeds 1,895,873
Date Cash pmt Int Exp Amort BP Bal
Jan 1, 2013 1,895,873
Dec 31, 2013 140,000 151,670 11,670 1,907,543
Dec 31, 2014 140,000 152,603 12,603 1,920,146
Dec 31, 2015 140,000 153,612 13,612 1,933,758
Dec 31, 2016 140,000 154,701 14,701 1,948,459
Dec 31, 2017 140,000 155,877 15,877 1,964,336
Dec 31, 2018 140,000 157,147 17,147 1,981,483
Dec 31, 2019 140,000 158,517 18,517 2,000,000
332© 2014 by W. David Albrecht. .
Maturity val 2,000,000
Yield/Eff Rate 8%
Coupon Rate 7%
Years 7Pmts / year 1
Total pmts 7
Total cash Pmt 140,000
type end=0 0
Proceds 1,895,873
Cash pmt Cash pmt Cash pmt
Date P I Total Int Exp Amort BP Bal
Jan 1, 2013 1,895,873
Dec 31, 2013 140,000 140,000 151,670 11,670 1,907,543
Dec 31, 2014 140,000 140,000 152,603 12,603 1,920,146
Dec 31, 2015 140,000 140,000 153,612 13,612 1,933,758
Dec 31, 2016 140,000 140,000 154,701 14,701 1,948,459
Dec 31, 2017 140,000 140,000 155,877 15,877 1,964,336
Dec 31, 2018 140,000 140,000 157,147 17,147 1,981,483
Dec 31, 2019 2,000,000 140,000 2,140,000 158,517 1,981,483 0
1/1/2013 Cash 1,895,873
Bonds payable 1,895,873
12/31/2013 Interest expense 151,670
Bonds payable 11,670
Cash 140,000
12/31/2014 Interest expense 152,603
Bonds payable 12,603
Cash 140,000
FinStmt
Date CL LTL OpInc Non-OpInc OA IA FA
Dec 31, 2013 129,630 1,777,913 0 (151,670) (140,000) 0 1,895,873
Dec 31, 2014 129,630 1,790,516 0 (152,603) (140,000) 0 0
Dec 31, 2015 129,630 1,804,128 0 (153,612) (140,000) 0 0
Dec 31, 2016 129,630 1,818,829 0 (154,701) (140,000) 0 0
Dec 31, 2017 129,630 1,834,706 0 (155,877) (140,000) 0 0
Dec 31, 2018 1,981,483 0 0 (157,147) (140,000) 0 0
Dec 31, 2019 0 0 0 (158,517) (140,000) 0 (2,000,000)
333© 2014 by W. David Albrecht. .
There are two ways to extend this problem. First, I extend it by by showing what would happen if 15%
of the proceeds were used to pay for the investment banker. In this case the proceeds would be
1,611,492 (85% of 1,895,873). Then using a PV of -1,611,492, a future value of 2,000,000, a payment
of 140,000 and N of 7, a new effective interest rate is computed. In this case, the new effective rate is
11.14 %. Because this rate is slightly rounded, there will be rounding error in the table and the final
period expense will need to be adjusted.:
Eff Rate 11.14%
NPer 7
Coupon rate 7%
Pmt 140,000
FV 2,000,000
type 0
PV 1,611,492
Date Cash pmt Int Exp Amort BP Bal
Jan 1, 2013 1,611,492
Dec 31, 2013 140,000 179,520 39,520 1,651,012
Dec 31, 2014 140,000 183,923 43,923 1,694,935
Dec 31, 2015 140,000 188,816 48,816 1,743,751
Dec 31, 2016 140,000 194,254 54,254 1,798,005
Dec 31, 2017 140,000 200,298 60,298 1,858,303
Dec 31, 2018 140,000 207,015 67,015 1,925,318
Dec 31, 2019 140,000 214,682 74,682 2,000,000
All financial statement amounts are based on 11.14%:
FinStmt
Date CL LTL OpInc Non-OpInc OA IA FA
Dec 31, 2013 125,967 1,525,045 0 (179,520) (140,000) 0 1,611,492
Dec 31, 2014 125,967 1,568,968 0 (183,923) (140,000) 0 0
Dec 31, 2015 125,967 1,617,784 0 (188,816) (140,000) 0 0
Dec 31, 2016 125,967 1,672,038 0 (194,254) (140,000) 0 0
Dec 31, 2017 125,967 1,732,336 0 (200,298) (140,000) 0 0
Dec 31, 2018 1,925,318 0 0 (207,015) (140,000) 0 0
Dec 31, 2019 0 0 0 (214,682) (140,000) 0 (2,000,000)
334© 2014 by W. David Albrecht. .
The second way I adjust the problem was to defer the bond year and issue date until April 1, 2005, so
that the bond year does not coincide with the fiscal year. The amortization table, with dates adjusted,
is:
Eff Rate 8%
NPer 7
Coupon rate 7%
Pmt 140,000
FV 2,000,000
type 0 0=end
PV 1,895,873
Cash pmt Cash pmt Cash pmt
Date P I Total Int Exp Amort BP Bal
Apr 1, 2013 1,895,873
Mar 31, 2014 140,000 140,000 151,670 11,670 1,907,543
Mar 31, 2015 140,000 140,000 152,603 12,603 1,920,146
Mar 31, 2016 140,000 140,000 153,612 13,612 1,933,758
Mar 31, 2017 140,000 140,000 154,701 14,701 1,948,459
Mar 31, 2018 140,000 140,000 155,877 15,877 1,964,336
Mar 31, 2019 140,000 140,000 157,147 17,147 1,981,483
Mar 31, 2020 2,000,000 140,000 2,140,000 158,517 1,981,483 0
FinStmt
Date CL LTL OpInc Non-OpInc OA IA FA
Dec 31, 2013 137,407 1,872,218 0 (113,753) 0 0 1,895,873
Dec 31, 2014 137,407 1,884,589 0 (152,370) (140,000) 0 0
Dec 31, 2015 137,407 1,897,948 0 (153,360) (140,000) 0 0
Dec 31, 2016 137,407 1,912,376 0 (154,429) (140,000) 0 0
Dec 31, 2017 137,407 1,927,960 0 (155,583) (140,000) 0 0
Dec 31, 2018 137,407 1,944,789 0 (156,830) (140,000) 0 0
Dec 31, 2019 2,100,370 0 0 (158,175) (140,000) 0 0
Dec 31, 2020 0 0 0 (39,629) (140,000) 0 (2,000,000)
To get the 2013 current liability amount, take the 2014 interest payment, present value it 12 months to
April 1, 2013, then grow it at 8% for 9/12 of a year. To get the Long-term liability amount, grow the
April 1, 2013 total liability amount and grow it at 8% for 9/12, then subtract out the current liability
amount.
2013 interest expense is 9/12 of the first bond year interest expense. 2014 interest expense is 3/12 of the
first year of bond interest expense and 9/12 of the second year.
335© 2014 by W. David Albrecht. .
Solution to Problem 40Bonds issued at a premium
Maturity value 2,000,000
Yield/Eff Rate 6%
Coupon rate 7%
NPer 7
Pmts per year 1
Total # pmts 7
Total Cash Pmt 140,000
FV 2,000,000
type 0
Proceeds 2,111,648
Cash pmt Cash pmt Cash pmt
Date P I Total Int Exp Amort BP Bal
Jan 1, 2013 2,111,648
Dec 31, 2013 140,000 140,000 126,699 (13,301) 2,098,347
Dec 31, 2014 140,000 140,000 125,901 (14,099) 2,084,248
Dec 31, 2015 140,000 140,000 125,055 (14,945) 2,069,303
Dec 31, 2016 140,000 140,000 124,158 (15,842) 2,053,461
Dec 31, 2017 140,000 140,000 123,208 (16,792) 2,036,669
Dec 31, 2018 140,000 140,000 122,200 (17,800) 2,018,869
Dec 31, 2019 2,000,000 140,000 2,140,000 121,131 (2,018,869) 0
1/1/2013 Cash 2,111,648
Bonds payable 2,111,648
12/31/2013 Interest expense 126,699
Bonds payable 13,301
Cash 140,000
12/31/2014 Interest expense 125,901
Bonds payable 14,099
Cash 140,000
FinStmt
Date CL LTL OpInc Non-OpInc OA IA FA
Dec 31, 2013 132,075 1,966,272 0 (126,699) (140,000) 0 2,111,648
Dec 31, 2014 132,075 1,952,173 0 (125,901) (140,000) 0 0
Dec 31, 2015 132,075 1,937,228 0 (125,055) (140,000) 0 0
Dec 31, 2016 132,075 1,921,386 0 (124,158) (140,000) 0 0
Dec 31, 2017 132,075 1,904,594 0 (123,208) (140,000) 0 0
Dec 31, 2018 2,018,868 0 0 (122,200) (140,000) 0 0
Dec 31, 2019 0 0 0 (121,131) (140,000) 0 (2,000,000)
336© 2014 by W. David Albrecht. .
Solution to Problem 41Bonds issued at a discount
On January 1, 2013, the Bronson Company issued $4,000,000 maturity value of 6% coupon bonds.
The bonds have a maturity date of December 31, 2021. The bonds pay interest each December 31, and
were sold to yield 7.5%. Bronson’s fiscal year ends on December 31.
Prepare a bond amortization table.
Bond proceeds (PV) 3,617,267
Maturity value (FV) 4,000,000
Years 9
Periods / year 1
Total periods (N) 9
Yield rate (I) 7.50%
Coupon rate 6.00%Payment (FV*coup rate) 240,000
Date Cash pmt Interest Amort. Balance
01/01/13 3,617,267
12/31/13 240,000 271,295 31,295 3,648,562
12/31/14 240,000 273,642 33,642 3,682,204
12/31/15 240,000 276,165 36,165 3,718,369
12/31/16 240,000 278,878 38,878 3,757,247
12/31/17 240,000 281,794 41,794 3,799,041
12/31/18 240,000 284,928 44,928 3,843,969
12/31/19 240,000 288,298 48,298 3,892,267
12/31/20 240,000 291,920 51,920 3,944,187
12/31/21 240,000 295,813 55,813 4,000,000
Prepare all journal entries for 2013 and 2014.
1/1/2013 Cash 3,617,267
Bonds payable 3,617,267
12/31/2013 Interest expense 271,295
Bonds payable 31,295
Cash 240,000
12/31/2014 Interest expense 273,642
Bonds payable 33,642
Cash 240,000
337© 2014 by W. David Albrecht. .
How will the bonds will be reported on the financial statements for the years ended December 31,
2013, and December 31, 2014.
Total Current L-T Op Non-op
Date Liab Liab Liab Income Income OA IA FA
12/31/13 3,648,562 223,256 3,425,306 0 (271,295) (240,000) 0 3,617,267
12/31/14 3,682,204 223,256 3,458,948 0 (273,642) (240,000) 0 0
12/31/15 3,718,369 223,256 3,495,113 0 (276,165) (240,000) 0 0
12/31/16 3,757,247 223,256 3,533,991 0 (278,878) (240,000) 0 0
12/31/17 3,799,041 223,256 3,575,785 0 (281,794) (240,000) 0 0
12/31/18 3,843,969 223,256 3,620,713 0 (284,928) (240,000) 0 0
12/31/19 3,892,267 223,256 3,669,011 0 (288,298) (240,000) 0 0
12/31/20 3,944,187 3,944,187 0 0 (291,920) (240,000) 0 0
12/31/21 0 0 0 0 (295,813) (240,000) 0 (4,000,000)
338© 2014 by W. David Albrecht. .
Solution to Problem 42Bonds issued at a premium
On January 1, 2013, the Conrad Company issued $5,000,000 of 8% coupon bonds. The bonds have a
maturity date of December 31, 2021. The bonds pay interest each December 31, and were sold to yield
5.5%. Conrad’s fiscal year ends on December 31.
Prepare a bond amortization table.
Bond proceeds (PV) 5,869,024
Maturity value (FV) 5,000,000
Years 9
Periods / year 1
Total periods (N) 9
Yield rate (I) 5.50%
Coupon rate 8.00%
Payment (FV*coup rate) 400,000
Date Cash pmt Interest Amort. Balance
01/01/13 5,869,024
12/31/13 400,000 322,796 (77,204) 5,791,820
12/31/14 400,000 318,550 (81,450) 5,710,370
12/31/15 400,000 314,070 (85,930) 5,624,440
12/31/16 400,000 309,344 (90,656) 5,533,784
12/31/17 400,000 304,358 (95,642) 5,438,142
12/31/18 400,000 299,098 (100,902) 5,337,240
12/31/19 400,000 293,548 (106,452) 5,230,788
12/31/20 400,000 287,693 (112,307) 5,118,481
12/31/21 400,000 281,519 (118,481) 5,000,000
Prepare all journal entries for 2013 and 2014.
1/1/2013 Cash 5,869,024
Bonds payable 5,869,024
12/31/2013 Interest expense 322,796
Bonds payable 77,204
Cash 400,000
12/31/2014 Interest expense 318,550
Bonds payable 81,450
Cash 400,000
339© 2014 by W. David Albrecht. .
How will the bonds will be reported on the financial statements for the years ended
December 31, 2013, and December 31, 2014.
Total Current L-T Op Non-op
Date Liab Liab Liab Income Income OA IA FA
12/31/13 5,791,820 379,147 5,412,673 0 (322,796) (400,000) 0 5,869,024
12/31/14 5,710,370 379,147 5,331,223 0 (318,550) (400,000) 0 0
12/31/15 5,624,440 379,147 5,245,293 0 (314,070) (400,000) 0 0
12/31/16 5,533,784 379,147 5,154,637 0 (309,344) (400,000) 0 0
12/31/17 5,438,142 379,147 5,058,995 0 (304,358) (400,000) 0 0
12/31/18 5,337,240 379,147 4,958,093 0 (299,098) (400,000) 0 0
12/31/19 5,230,788 379,147 4,851,641 0 (293,548) (400,000) 0 0
12/31/20 5,118,481 5,118,481 0 0 (287,693) (400,000) 0 0
12/31/21 0 0 0 0 (281,519) (400,000) 0 (5,000,000)
340© 2014 by W. David Albrecht. .
Solution to Problem 43Serial Bonds
On January 2, 2013, Bertke Inc., issued serial bonds with a total maturity value of $80,000, and a
coupon rate of 9%. Interest is payable annually on December 31, and the bonds are issued to yield
12%. They mature as follows:
December 31, 2015 20,000
December 31, 2016 20,000
December 31, 2017 20,000
December 31, 2018 20,000
Calculate the proceeds of the bond issue.
PV ? = 18,559 ? = 18,178 ? = 17,837 ? = 17,533
FV 20,000 20,000 20,000 20,000
N 3 4 5 6
I 12 12 12 12
PMT 1,800 (20,000*.09) 1,800 (20,000*.09) 1,800 (20,000*.09) 1,800 (20,000*.09)
TYPE end end end end
Proceeds = 18,559 + 18,178 + 17,837 + 17,533 = 72,107
Prepare a bond amortization table.
Eff Rate 12%
NPer
Coupon rate 9%
Pmt
Maturity value 80,000
type 0
PV 72,107
Cash pmt Cash pmt Cash pmt
Date P I Total Int Exp Amort BP BalJan 2, 2013 72,107
Dec 31, 2013 7,200 7,200 8,653 1,453 73,560
Dec 31, 2014 7,200 7,200 8,827 1,627 75,187
Dec 31, 2015 20,000 7,200 27,200 9,022 (18,178) 57,009
Dec 31, 2016 20,000 5,400 25,400 6,841 (18,559) 38,450
Dec 31, 2017 20,000 3,600 23,600 4,614 (18,986) 19,464
Dec 31, 2018 20,000 1,800 21,800 2,336 (19,464) 0
341© 2014 by W. David Albrecht. .
Prepare all journal entries for the period of time from 2013 to 2018.
1/2/2013 Cash 72,107
Bonds payable 72,107
12/31/2013 Interest expense 8,653
Bonds payable 1,453
Cash 7,200
12/31/2014 Interest expense 8,827
Bonds payable 1,627
Cash 7,200
12/31/2015 Interest expense 9,022
Bonds payable 1,822
Cash 7,200
12/31/2015 Bonds payable 20,000
Cash 20,000
12/31/2016 Interest expense 6,841
Bonds payable 1,422
Cash 5,400
12/31/2016 Bonds payable 20,000
Cash 20,000
12/31/2017 Interest expense 4,614
Bonds payable 1,014
Cash 3,600
12/31/2017 Bonds payable 20,000
Cash 20,000
12/31/2018 Interest expense 2,336
Bonds payable 536
Cash 1,800
12/31/2018 Bonds payable 20,000
Cash 20,000
How will the bonds will be reported on the financial statements for each year of the bond issue.
FincStmt Date Tot Liab CLiab LT Liab Op Inc Non Op Inc OA IA FA
Dec 31, 2013 73,560 6,429 67,131 0 (8,653) (7,200) 0 72,107
Dec 31, 2014 75,187 24,286 50,901 0 (8,827) (7,200) 0
Dec 31, 2015 57,009 22,679 34,330 0 (9,022) (7,200) 0 (20,000)
Dec 31, 2016 38,450 21,071 17,379 0 (6,841) (5,400) 0 (20,000)
Dec 31, 2017 19,464 19,464 0 0 (4,614) (3,600) 0 (20,000)
Dec 31, 2018 0 0 0 0 (2,336) (1,800) 0 (20,000)
342© 2014 by W. David Albrecht. .
Solution to Problem 44Serial Bonds
2. Prepare a bond amortization table.
Eff Rate 5%
Coupon rate 6%
PV 625,902
Cash pmt Cash pmt Cash pmt
Date P I Total Int Exp Amort BP Bal
Jan 2, 2013 625,902
Dec 31, 2013 36,000 36,000 31,295 4,705 621,197
Dec 31, 2014 36,000 36,000 31,060 4,940 616,257
Dec 31, 2015 36,000 36,000 30,813 5,187 611,070
Dec 31, 2016 200,000 36,000 236,000 30,554 205,446 405,624
Dec 31, 2017 200,000 24,000 224,000 20,281 203,719 201,905
Dec 31, 2018 200,000 12,000 212,000 10,095 201,905 0
3. Journal entries on next page
4. How the bonds will be reported on the financial statements for each year of the bond issue.
Total Non op
Date Liability CL Lt Liab Op inc Inc OA IA FA
Dec 31, 2013 621,197 34,286 586,911 0 (31,295) (36,000) 0 625,902
Dec 31, 2014 616,257 34,286 581,971 0 (31,060) (36,000) 0 0
Dec 31, 2015 611,070 224,762 386,308 0 (30,813) (36,000) 0 0
Dec 31, 2016 405,624 213,333 192,291 0 (30,554) (36,000) 0 (200,000)
Dec 31, 2017 201,905 201,905 0 0 (20,281) (24,000) 0 (200,000)
Dec 31, 2018 0 0 0 0 (10,095) (12,000) 0 (200,000)
343© 2014 by W. David Albrecht. .
3. Prepare all journal entries for the period of time from 2013 to 2018.
1/2/2013 Cash 625,902
Bonds payable 625,902
12/31/2013 Interest expense 31,295
Bonds payable 4,705
Cash 36,000
12/31/2014 Interest expense 31,060
Bonds payable 4,940
Cash 36,000
12/31/2015 Interest expense 30,813
Bonds payable 5,187
Cash 36,000
12/31/2016 Interest expense 30,554
Bonds payable 5,446
Cash 36,000
12/31/2016 Bonds payable 200,000
Cash 200,000
12/31/2017 Interest expense 20,281
Bonds payable 3,719
Cash 24,000
12/31/2017 Bonds payable 200,000
Cash 200,000
12/31/2018 Interest expense 10,095
Bonds payable 1,905
Cash 12,000
12/31/2018 Bonds payable 200,000
Cash 200,000
344© 2014 by W. David Albrecht. .
Solution to Problem 45Bonds issued with investment banker fee
On January 1, 2013, the Bronson Company issued $1,500,000 of coupon bonds. The six year bonds
have a maturity date of December 31, 2018. The bonds pay 7% interest each December 31, and were
sold to yield 5%. The investment banker remitted 90% of the proceeds to Bronson. In other words, the
investment banker fee is 10% Bronson’s fiscal year ends on December 31.
1. Calculate proceeds paid by investors to the investment banker. Calculate the amount paid
to the company.
2. Calculate the new effective rate for the bonds accounting.
3. Prepare a bond amortization table.
Bond proceeds (PV) 1,652,271 (165,227) 1,487,044<--Corp proceeds
Maturity value (FV) 1,500,000 IB fee 1,500,000
Years 6 6
Periods / year 1 1
Total periods (N) 6 6
Yield rate (I) 5.00% 7.182228%<--new rate
Coupon rate 7.00% 0.07
Payment (FV*coup rate) 105,000 105,000
Date Cash pmt Interest Amort. Balance
01/01/13 1,487,044
12/31/13 105,000 106,803 1,803 1,488,847
12/31/14 105,000 106,932 1,932 1,490,779
12/31/15 105,000 107,071 2,071 1,492,850
12/31/16 105,000 107,220 2,220 1,495,070
12/31/17 105,000 107,379 2,379 1,497,449
12/31/18 105,000 107,551 2,551 1,500,000
4. Prepare all journal entries for 2013 and 2014.
1/1/2013 Cash 1,487,044
Bonds payable 1,487,044
12/31/2013 Interest expense 106,803
Bonds payable 1,803
Cash 105,000
12/31/2014 Interest expense 106,932
Bonds payable 1,932
Cash 105,000
345© 2014 by W. David Albrecht. .
5. How will the bonds will be reported on the financial statements for the years ended December 31,
2013, and December 31, 2014.
Total Current L-T Op Non-op
Date Liab Liab Liab Income Income OA IA FA
12/31/13 1,488,847 97,964 1,390,883 0 (106,803) (105,000) 0 1,487,044
12/31/14 1,490,779 97,964 1,392,815 0 (106,932) (105,000) 0 0
12/31/15 1,492,850 97,964 1,394,886 0 (107,071) (105,000) 0 0
12/31/16 1,495,070 97,964 1,397,106 0 (107,220) (105,000) 0 0
12/31/17 1,497,449 1,497,449 0 0 (107,379) (105,000) 0 0
12/31/18 0 0 0 0 (107,551) (105,000) 0 (1,500,000)
346© 2014 by W. David Albrecht. .
Solution to Problem 46Bonds issued with investment banker fee.
1, 2, 3Bond proceeds (PV) 12,646,715 1,770,540 10,876,175<--Corp proceeds
Maturity value (FV) 12,000,000 IB fee 12,000,000
Years 7 7
Periods / year 1 1
Total periods (N) 7 7
Yield rate (I) 7.000000% 9.918507%<--new rate
Coupon rate 8.000000% 8.000000%
Payment (FV*coup rate) 960,000 960,000
Date Cash pmt Interest Amort. Balance
01/01/13 10,876,175
12/31/13 960,000 1,078,754 118,754 10,994,929
12/31/14 960,000 1,090,533 130,533 11,125,462
12/31/15 960,000 1,103,480 143,480 11,268,942
12/31/16 960,000 1,117,711 157,711 11,426,653
12/31/17 960,000 1,133,353 173,353 11,600,006
12/31/18 960,000 1,150,547 190,547 11,790,553
12/31/19 960,000 1,169,447 209,447 12,000,000
4. Prepare all journal entries for 2013 and 2014.
1/1/2013 Cash 10,876,175
Bonds payable 10,876,175
12/31/2013 Interest expense 1,078,754
Bonds payable 118,754
Cash 960,000
12/31/2014 Interest expense 1,090,533
Bonds payable 130,533
Cash 960,000
5.Total Non op
Liability CL Lt Liab Op inc Non op Inc OA IA FA
10,994,929 873,374 10,121,555 0 (1,078,754) (960,000) 0 10,876,175
11,125,462 873,374 10,252,088 0 (1,090,533) (960,000) 0 0
11,268,942 873,374 10,395,568 0 (1,103,480) (960,000) 0 0
11,426,653 873,374 10,553,279 0 (1,117,711) (960,000) 0 0
11,600,006 873,374 10,726,632 0 (1,133,353) (960,000) 0 0
11,790,553 11,790,553 0 0 (1,150,547) (960,000) 0 0
0 0 0 0 (1,169,447) (960,000) 0 (12,000,000)
347© 2014 by W. David Albrecht. .
Solution to Problem 47Bond issued at discount, bond year ………… fiscal year.
Eff Rate 12%
NPer 6
Coupon rate 8%
Pmt 24,000
FV 300,000
type 0
PV 250,663
Cash pmt Cash pmt Cash pmt
Date P I Total Int Exp Amort BP Bal
June 1, 2012 250,663
May 31, 2013 24,000 24,000 30,080 6,080 256,743
May 31, 2014 24,000 24,000 30,809 6,809 263,552May 31, 2015 24,000 24,000 31,626 7,626 271,178
May 31, 2016 24,000 24,000 32,541 8,541 279,719
May 31, 2017 24,000 24,000 33,566 9,566 289,285
May 31, 2018 300,000 24,000 324,000 34,715 (289,285) 0
6/1/2012 Cash 250,663
Bonds payable 250,663
12/31/2012 Interest expense 17,547
Bonds payable 3,547
Interest payable 14,000
5/31/2013 Interest payable 14,000
Interest expense 12,533
Bonds payable 2,533
Cash 24,000
12/31/2013 Interest expense 17,972
Bonds payable 3,972
Interest payable 14,000
5/31/2014 Interest payable 14,000
Interest expense 12,837
Bonds payable 2,837
Cash 24,000
348© 2014 by W. David Albrecht. .
To get the numbers for the balance sheet, grow the May 31 balance by 7/12 of the effective rate. This
works because the May 31 balance is the present value of future cash flows. By growing it at 7/12 of
the effective rate, you are moving the present value to where it needs to be for balance sheet
purposes–December 31. The current liability balance is simply the present value the next coupon
payment present valued into the current year on May 31, then grown at 7/12 of the effective rate to
move it to December 31.
7/12 of the first year bond interest goes into 2012, 5/12 goes into 2013. 7/12 of the second year bond
interest goes into 2013, 5/12 goes into 2014
Of course, the numbers for the cash flows statements are simply the sum of any cash flows during the
current year.
FinStmt
BP Bal Date Total liab CL LTL OpInc Non-OpInc Cash Flows OA FA
250,663 Dec 31, 2012 268,210 22,929 245,281 0 (17,547) year 2004 250,663
256,743 Dec 31, 2013 274,715 22,929 251,786 0 (30,505) year 2005 (24,000) 0
263,552 Dec 31, 2014 282,000 22,929 259,071 0 (31,286) year 2006 (24,000) 0
271,178 Dec 31, 2015 290,160 22,929 267,231 0 (32,160) year 2007 (24,000) 0
279,719 Dec 31, 2016 299,300 22,929 276,371 0 (33,139) year 2008 (24,000) 0
289,285 Dec 31, 2017 309,536 309,536 0 0 (34,236) year 2009 (24,000) 0
0 Dec 31, 2018 0 0 0 0 (14,465) year 2010 (24,000) (300,000)
349© 2014 by W. David Albrecht. .
Solution to Problem 48Bond issued at discount, bond year ………… fiscal year.
Eff Rate 8%
Years 5
Coupon rate 7%
Pmts per year 2
Pmt 70,000
FV 2,000,000
type 0 0=end
PV 1,918,891
Cash pmt Cash pmt Cash pmt
Date P I Total Int Exp Amort BP Bal
Oct 1, 2012 1,918,891
Apr 1, 2013 70,000 70,000 76,756 6,756 1,925,647
Oct 1, 2013 70,000 70,000 77,026 7,026 1,932,673
Apr 1, 2014 70,000 70,000 77,307 7,307 1,939,980
Oct 1, 2014 70,000 70,000 77,599 7,599 1,947,579
Apr 1, 2015 70,000 70,000 77,903 7,903 1,955,482
Oct 1, 2015 70,000 70,000 78,219 8,219 1,963,701
Apr 1, 2016 70,000 70,000 78,548 8,548 1,972,249
Oct 1, 2016 70,000 70,000 78,890 8,890 1,981,139
Apr 1, 2017 70,000 70,000 79,246 9,246 1,990,385
Oct 1, 2017 2,000,000 70,000 2,070,000 79,615 (1,990,385) 0
10/1/2012 Cash 1,918,891
Bonds payable 1,918,891
12/31/2012 Interest expense 38,378
Bonds payable 3,378
Interest payable 35,000
4/1/2012 Interest payable 35,000
Interest expense 38,378
Bonds payable 3,378
Cash 70,000
10/1/2012 Interest expense 77,026
Bonds payable 7,026
Cash 70,000
12/31/2012 Interest expense 38,654
Bonds payable 3,654
Interest payable 35,000
350© 2014 by W. David Albrecht. .
The numbers reported on the financial statements go as follows. To get the total amount of liability to
be shown on the 12/31 balance sheet, take the October 1 amount and grow it at 3/12 of a year at 8%
effective rate. To get the current liability, take the cash payments to be made during the next fiscal year
(there are two because of semi-annual compounding) and then present value these back to October 1 at
8% effective rate. Then, grow these for 3/12 of a year at 8% effective rate. The long-term liability
amount is the difference between total liability and current liability.
The numbers from the cash flow statement are straight forward. The cash interest payments go in
operating activities. When issuing the bonds or paying off the bonds, the amouts go in financing
activities.
The numbers for the income statement are the sum of all interest expense entries for the year. Interest
expense does not go in operating income, but in “other”.
BP Bal FinStmt date Total Liab CL LTL OpInc Non-OpInc OA FA
1,918,891 Dec 31, 2012 1,957,269 134,667 1,822,602 0 (38,378) 1,918,891
1,925,647
1,932,673 Dec 31, 2013 1,971,326 134,667 1,836,659 0 (154,058) (140,000) 0
1,939,980
1,947,579 Dec 31, 2014 1,986,531 134,667 1,851,864 0 (155,204) (140,000) 0
1,955,482
1,963,701 Dec 31, 2015 2,002,975 134,667 1,868,308 0 (156,445) (140,000) 0
1,972,249
1,981,139 Dec 31, 2016 2,020,762 2,020,762 0 0 (157,787) (140,000) 0
1,990,385
0 Dec 31, 2017 0 0 0 0 (119,238) (140,000) (2,000,000)
351© 2014 by W. David Albrecht. .
Solution to Problem 49Bonds issued with investment banker fee, bond year ………… fiscal year
Bond proceeds (PV) 10,410,020 1,041,002 9,369,018<--Corp proceeds
Maturity value (FV) 10,000,000 IB fee 10,000,000
Years 5 5
Periods / year 1 1
Total periods (N) 5 5
Yield rate (I) 7.000000% 9.649643%<--new rate
Coupon rate 8.000000% 8.000000%
Payment (FV*coup rate) 800,000 800000
Bond Pay
Date Cash pmt Interest Amort. Balance04/01/13 9,369,018
04/01/14 800,000 904,077 104,077 9,473,095
01/04/15 800,000 914,120 114,120 9,587,215
04/01/16 800,000 925,132 125,132 9,712,347
04/01/17 800,000 937,207 137,207 9,849,554
04/01/18 800,000 950,446 150,446 10,000,000
4/1/2013 Cash 9,369,018
Bonds payable 9,369,018
12/31/2013 Interest expense 678,058
Bonds payable 78,058
Interest payable 600,000
4/1/2014 Interest payable 600,000
Interest expense 226,019
Bonds payable 26,019
Cash 800,000
12/31/2014 Interest expense 685,590
Bonds payable 85,590
Interest payable 600,000
4/1/2015 Interest expense 228,520
Interest payable 600,000
Bonds payable 28,520
Interest payable 800,000
Bond Pay Finc Stmt Total Non op
Balance Date Liability CL Lt Liab Op inc Inc OA IA FA
9,369,018 12/31/13 10,047,076 782,399 9,264,677 0 (678,058) 0 0 9,369,018
9,473,095 12/31/14 10,158,685 782,399 9,376,286 0 (911,609) (800,000) 0 0
9,587,215 12/31/15 10,281,064 782,399 9,498,665 0 (922,379) (800,000) 0 0
9,712,347 12/31/16 10,415,252 782,399 9,632,853 0 (934,188) (800,000) 0 0
9,849,554 12/31/17 10,562,389 10,562,389 0 0 (947,136) (800,000) 0 0
10,000,000 12/31/18 0 0 0 0 (237,612) (800,000) 0 (10,000,000)
352© 2014 by W. David Albrecht. .