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On July 1, 20Y1, Danzer Industries Inc. issued $37,400,000 of 10-year, 8% bonds at a market...

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:*
a. The first semiannual interest payment on December 31, 20Y1, and the amortization of the bond discount, using the straight-line method. (Round to the nearest dollar.)
b. The interest payment on June 30, 20Y2, and the amortization of the bond discount, using the straight-line method. (Round to the nearest dollar.)
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.)
*Refer to the Chart of Accounts for exact wording of account titles.

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

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

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

Solutions

Expert Solution

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


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