Question
On July 1, Year 1, Danzer Industries Inc. issued $40,000,000 of 10-year, 7% bonds at a market (effective) interest rate of 8%, receiving cash of
On July 1, Year 1, Danzer Industries Inc. issued $40,000,000 of 10-year, 7% bonds at a market (effective) interest rate of 8%, receiving cash of $37,282,062. Interest on the bonds is payable semiannually on December 31 and June 30. The fiscal year of the company is the calendar year.
Required:
1. | Journalize the entry to record the amount of cash proceeds from the issuance of the bonds on July 1, Year 1. | ||||
2. | Journalize the entries to record the following:*
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3. | Determine the total interest expense for Year 1. | ||||
4. | Will the bond proceeds always be less than the face amount of the bonds when the contract rate is less than the market rate of interest? | ||||
5. | Compute the price of $37,282,062 received for the bonds by using the present value tables. (Round to the nearest dollar.)
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Present Value Tables
Two present value tables are provided: Present Value of $1 at Compound Interest Due in n Periods and Present Value of Ordinary Annuity of $1 per Period. Use them as directed in the problem requirements.
Present Value of $1 at Compound Interest Due in n Periods | |||||||
---|---|---|---|---|---|---|---|
Periods | 4.0% | 4.5% | 5% | 5.5% | 6% | 6.5% | 7% |
1 | 0.96154 | 0.95694 | 0.95238 | 0.94787 | 0.94340 | 0.93897 | 0.93458 |
2 | 0.92456 | 0.91573 | 0.90703 | 0.89845 | 0.89000 | 0.88166 | 0.87344 |
3 | 0.88900 | 0.87630 | 0.86384 | 0.85161 | 0.83962 | 0.82785 | 0.81630 |
4 | 0.85480 | 0.83856 | 0.82270 | 0.80722 | 0.79209 | 0.77732 | 0.76290 |
5 | 0.82193 | 0.80245 | 0.78353 | 0.76513 | 0.74726 | 0.72988 | 0.71299 |
6 | 0.79031 | 0.76790 | 0.74622 | 0.72525 | 0.70496 | 0.68533 | 0.66634 |
7 | 0.75992 | 0.73483 | 0.71068 | 0.68744 | 0.66506 | 0.64351 | 0.62275 |
8 | 0.73069 | 0.70319 | 0.67684 | 0.65160 | 0.62741 | 0.60423 | 0.58201 |
9 | 0.70259 | 0.67290 | 0.64461 | 0.61763 | 0.59190 | 0.56735 | 0.54393 |
10 | 0.67556 | 0.64393 | 0.61391 | 0.58543 | 0.55839 | 0.53273 | 0.50835 |
11 | 0.64958 | 0.61620 | 0.58468 | 0.55491 | 0.52679 | 0.50021 | 0.47509 |
12 | 0.62460 | 0.58966 | 0.55684 | 0.52598 | 0.49697 | 0.46968 | 0.44401 |
13 | 0.60057 | 0.56427 | 0.53032 | 0.49856 | 0.46884 | 0.44102 | 0.41496 |
14 | 0.57748 | 0.53997 | 0.50507 | 0.47257 | 0.44230 | 0.41410 | 0.38782 |
15 | 0.55526 | 0.51672 | 0.48102 | 0.44793 | 0.41727 | 0.38883 | 0.36245 |
16 | 0.53391 | 0.49447 | 0.45811 | 0.42458 | 0.39365 | 0.36510 | 0.33873 |
17 | 0.51337 | 0.47318 | 0.43630 | 0.40245 | 0.37136 | 0.34281 | 0.31657 |
18 | 0.49363 | 0.45280 | 0.41552 | 0.38147 | 0.35034 | 0.32189 | 0.29586 |
19 | 0.47464 | 0.43330 | 0.39573 | 0.36158 | 0.33051 | 0.30224 | 0.27651 |
20 | 0.45639 | 0.41464 | 0.37689 | 0.34273 | 0.31180 | 0.28380 | 0.25842 |
21 | 0.43883 | 0.39679 | 0.35894 | 0.32486 | 0.29416 | 0.26648 | 0.24151 |
22 | 0.42196 | 0.37970 | 0.34185 | 0.30793 | 0.27751 | 0.25021 | 0.22571 |
23 | 0.40573 | 0.36335 | 0.32557 | 0.29187 | 0.26180 | 0.23494 | 0.21095 |
24 | 0.39012 | 0.34770 | 0.31007 | 0.27666 | 0.24698 | 0.22060 | 0.19715 |
25 | 0.37512 | 0.33273 | 0.29530 | 0.26223 | 0.23300 | 0.20714 | 0.18425 |
26 | 0.36069 | 0.31840 | 0.28124 | 0.24856 | 0.21981 | 0.19450 | 0.17220 |
27 | 0.34682 | 0.30469 | 0.26785 | 0.23560 | 0.20737 | 0.18263 | 0.16093 |
28 | 0.33348 | 0.29157 | 0.25509 | 0.22332 | 0.19563 | 0.17148 | 0.15040 |
29 | 0.32065 | 0.27902 | 0.24295 | 0.21168 | 0.18456 | 0.16101 | 0.14056 |
30 | 0.30832 | 0.26700 | 0.23138 | 0.20064 | 0.17411 | 0.15119 | 0.13137 |
31 | 0.29646 | 0.25550 | 0.22036 | 0.19018 | 0.16425 | 0.14196 | 0.12277 |
32 | 0.28506 | 0.24450 | 0.20987 | 0.18027 | 0.15496 | 0.13329 | 0.11474 |
33 | 0.27409 | 0.23397 | 0.19987 | 0.17087 | 0.14619 | 0.12516 | 0.10723 |
34 | 0.26355 | 0.22390 | 0.19035 | 0.16196 | 0.13791 | 0.11752 | 0.10022 |
35 | 0.25342 | 0.21425 | 0.18129 | 0.15352 | 0.13011 | 0.11035 | 0.09366 |
40 | 0.20829 | 0.17193 | 0.14205 | 0.11746 | 0.09722 | 0.08054 | 0.06678 |
45 | 0.17120 | 0.13796 | 0.11130 | 0.08988 | 0.07265 | 0.05879 | 0.04761 |
50 | 0.14071 | 0.11071 | 0.08720 | 0.06877 | 0.05429 | 0.04291 | 0.03395 |
Present Value of Ordinary Annuity of $1 per Period | |||||||
---|---|---|---|---|---|---|---|
Periods | 4.0% | 4.5% | 5% | 5.5% | 6% | 6.5% | 7% |
1 | 0.96154 | 0.95694 | 0.95238 | 0.94787 | 0.94340 | 0.93897 | 0.93458 |
2 | 1.88609 | 1.87267 | 1.85941 | 1.84632 | 1.83339 | 1.82063 | 1.80802 |
3 | 2.77509 | 2.74896 | 2.72325 | 2.69793 | 2.67301 | 2.64848 | 2.62432 |
4 | 3.62990 | 3.58753 | 3.54595 | 3.50515 | 3.46511 | 3.42580 | 3.38721 |
5 | 4.45182 | 4.38998 | 4.32948 | 4.27028 | 4.21236 | 4.15568 | 4.10020 |
6 | 5.24214 | 5.15787 | 5.07569 | 4.99553 | 4.91732 | 4.84101 | 4.76654 |
7 | 6.00205 | 5.89270 | 5.78637 | 5.68297 | 5.58238 | 5.48452 | 5.38929 |
8 | 6.73274 | 6.59589 | 6.46321 | 6.33457 | 6.20979 | 6.08875 | 5.97130 |
9 | 7.43533 | 7.26879 | 7.10782 | 6.95220 | 6.80169 | 6.65610 | 6.51523 |
10 | 8.11090 | 7.91272 | 7.72173 | 7.53763 | 7.36009 | 7.18883 | 7.02358 |
11 | 8.76048 | 8.52892 | 8.30641 | 8.09254 | 7.88687 | 7.68904 | 7.49867 |
12 | 9.38507 | 9.11858 | 8.86325 | 8.61852 | 8.38384 | 8.15873 | 7.94269 |
13 | 9.98565 | 9.68285 | 9.39357 | 9.11708 | 8.85268 | 8.59974 | 8.35765 |
14 | 10.56312 | 10.22283 | 9.89864 | 9.58965 | 9.29498 | 9.01384 | 8.74547 |
15 | 11.11839 | 10.73955 | 10.37966 | 10.03758 | 9.71225 | 9.40267 | 9.10791 |
16 | 11.65230 | 11.23402 | 10.83777 | 10.46216 | 10.10590 | 9.76776 | 9.44665 |
17 | 12.16567 | 11.70719 | 11.27407 | 10.86461 | 10.47726 | 10.11058 | 9.76322 |
18 | 12.65930 | 12.15999 | 11.68959 | 11.24607 | 10.82760 | 10.43247 | 10.05909 |
19 | 13.13394 | 12.59329 | 12.08532 | 11.60765 | 11.15812 | 10.73471 | 10.33560 |
20 | 13.59033 | 13.00794 | 12.46221 | 11.95038 | 11.46992 | 11.01851 | 10.59401 |
21 | 14.02916 | 13.40472 | 12.82115 | 12.27524 | 11.76408 | 11.28498 | 10.83553 |
22 | 14.45112 | 13.78442 | 13.16300 | 12.58317 | 12.04158 | 11.53520 | 11.06124 |
23 | 14.85684 | 14.14777 | 13.48857 | 12.87504 | 12.30338 | 11.77014 | 11.27219 |
24 | 15.24696 | 14.49548 | 13.79864 | 13.15170 | 12.55036 | 11.99074 | 11.46933 |
25 | 15.62208 | 14.82821 | 14.09394 | 13.41393 | 12.78336 | 12.19788 | 11.65358 |
26 | 15.98277 | 15.14661 | 14.37519 | 13.66250 | 13.00317 | 12.39237 | 11.82578 |
27 | 16.32959 | 15.45130 | 14.64303 | 13.89810 | 13.21053 | 12.57500 | 11.98671 |
28 | 16.66306 | 15.74287 | 14.89813 | 14.12142 | 13.40616 | 12.74648 | 12.13711 |
29 | 16.98371 | 16.02189 | 15.14107 | 14.33310 | 13.59072 | 12.90749 | 12.27767 |
30 | 17.29203 | 16.28889 | 15.37245 | 14.53375 | 13.76483 | 13.05868 | 12.40904 |
31 | 17.58849 | 16.54439 | 15.59281 | 14.72393 | 13.92909 | 13.20063 | 12.53181 |
32 | 17.87355 | 16.78889 | 15.80268 | 14.90420 | 14.08404 | 13.33393 | 12.64656 |
33 | 18.14765 | 17.02286 | 16.00255 | 15.07507 | 14.23023 | 13.45909 | 12.75379 |
34 | 18.41120 | 17.24676 | 16.19290 | 15.23703 | 14.36814 | 13.57661 | 12.85401 |
35 | 18.66461 | 17.46101 | 16.37419 | 15.39055 | 14.49825 | 13.68696 | 12.94767 |
40 | 19.79277 | 18.40158 | 17.15909 | 16.04612 | 15.04630 | 14.14553 | 13.33171 |
45 | 20.72004 | 19.15635 | 17.77407 | 16.54773 | 15.45583 | 14.48023 | 13.60552 |
50 | 21.48218 | 19.76201 | 18.25593 | 16.93152 | 15.76186 | 14.72452 | 13.80075 |
Journal
1. and 2. Journalize the entries to record the transactions. Refer to the Chart of Accounts for exact wording of account titles.
PAGE 10
JOURNAL
ACCOUNTING EQUATION
DATE | DESCRIPTION | POST. REF. | DEBIT | CREDIT | ASSETS | LIABILITIES | EQUITY | |
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1 |
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PAGE 10
JOURNAL
ACCOUNTING EQUATION
DATE | DESCRIPTION | POST. REF. | DEBIT | CREDIT | ASSETS | LIABILITIES | EQUITY | |
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1 |
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Final Questions
3. Determine the total interest expense for Year 1.
4. Will the bond proceeds always be less than the face amount of the bonds when the contract rate is less than the market rate of interest?
Yes
No
5. Compute the price of $37,282,062 received for the bonds by using the present value tables. (Round to the nearest dollar.)
Present value of the face amount | |
Present value of the semiannual interest payments | |
Price received for the bonds
Please answer questions by filling in the blanks. |
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