In: Accounting
On July 1, 20Y1, Danzer Industries Inc. issued $37,400,000 of 10-year, 8% bonds at a market (effective) interest rate of 10%, receiving cash of $32,739,152. 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:*
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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 $32,739,152 received for the bonds by
using the present value tables. (Round to the nearest dollar.)
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wo 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 |
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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 |
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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 |
3. Determine the total interest expense for 20Y1. Enter amount as a positive number.
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 $32,739,152 received for the bonds by using the tables shown in 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 |
Answer:
Face Value of Bonds = $37,400,000
Issue Value of Bonds = $32,739,152
Discount on Bonds = Face Value of Bonds - Issue Value of
Bonds
Discount on Bonds = $37,400,000 - $32,739,152
Discount on Bonds = $4,660,848
Annual Coupon Rate = 8%
Semiannual Coupon Rate = 4%
Semiannual Coupon = 4% * $37,400,000
Semiannual Coupon = $1,496,000
Time to Maturity = 10 years
Semiannual Period = 20
Semiannual Amortization of Discount = Discount on Bonds /
Semiannual Period
Semiannual Amortization of Discount = $4,660,848 / 20
Semiannual Amortization of Discount = $233,042
Semiannual Interest Expense = Semiannual Coupon + Semiannual
Amortization of Discount
Semiannual Interest Expense = $1,496,000 + $233,042
Semiannual Interest Expense = $1,729,042
Answer 1 and 2.
Answer 3.
Interest Expense for 20Y1 = $1,729,042
Answer 4.
Yes. Proceed from issue of bonds will always be less than the face amount when the contract rate is less than the market rate of interest.
Answer 5.
Annual Interest Rate = 10.00%
Semiannual Interest Rate = 5.00%
Present Value of Face Amount = $37,400,000 * PV of $1 (5.00%,
20)
Present Value of Face Amount = $37,400,000 * 0.37689
Present Value of Face Amount = $14,095,686
Present Value of Semiannual Interest Payments = $1,496,000 * PVA
of $1 (5.00%, 20)
Present Value of Semiannual Interest Payments = $1,496,000 *
12.46221
Present Value of Semiannual Interest Payments = $18,643,466
Price Received for the Bonds = Present Value of Face Amount +
Present Value of Semiannual Interest Payments
Price Received for the Bonds = $14,095,686 + $18,643,466
Price Received for the Bonds = $32,739,152