Question
On July 1, 20Y1, Danzer Industries Inc. issued $60,000,000 of 10-year, 8% bonds at a market (effective) interest rate of 10%, receiving cash of $52,522,704.
On July 1, 20Y1, Danzer Industries Inc. issued $60,000,000 of 10-year, 8% bonds at a market (effective) interest rate of 10%, receiving cash of $52,522,704. 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, 20Y1. | ||||
2. | Journalize the entries to record the following:
| ||||
3. | Determine the total interest expense for 20Y1. | ||||
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 $52,522,704 received for the bonds by using the 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 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 |
Final Questions:
3. Determine the total interest expense for 20Y1.
Additional Instructions
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 $52,522,704 received for the bonds by using the present value tables.
Additional Instruction
Present value of the face amount | |
Present value of the semiannual interest payments | |
Price received for the bonds |
Step by Step Solution
There are 3 Steps involved in it
Step: 1
1 Journalize the entry to record the amount of cash proceeds from the issuance of the bonds on July 1 20Y1 The entry to record the cash proceeds from ...Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started